diff --git "a/data/dm_maths/full_data/503_11255.jsonl" "b/data/dm_maths/full_data/503_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/503_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let q = 8412 + -31527. Let x = q - -39996. Suppose 5*c - s - x = 64118, s = c - 16199. Round c to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -329792, -659607, -989422?\n\"Answer: -329815*r + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**3 - 4*o**2 - o - 1. What is the tens digit of a(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 u when two letters picked without replacement from {x: 4, b: 1, j: 2, u: 2, n: 1}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58 - 56. Suppose 0 = -3*w + 4*w - n. Let v be ((-2)\/(-2))\/((-3)\/(-21)). Solve v = -w*s - 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*z - 9 + 36, z - 5*r - 11 = 0. Suppose 176 = 2*l - z. Let h = 30 - 17. What is the greatest common factor of l and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 49 - (5 + (26 - 15 - 28))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46956 and 204204.\nAnswer: 8780772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.4 - 16. Which is the biggest value? (a) 0.5 (b) q (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15047900?\nAnswer: 2, 5, 7, 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j**2 + 372. Let f(c) = 9*c**2 - 806. Let s(k) = -13*d(k) - 6*f(k). Let h(z) = -1408*z**2. Calculate h(s(y)).\nAnswer: -5632*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (65 + 0)*(-24)\/(-40) is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63420.\nAnswer: 2, 3, 5, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 1246 = 2*w, 3*s + 3*w = -2*s - 3075. Let k = s - -898. Is 28 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.05 + 0.05. Let f = h + -0.3. Which is the biggest value? (a) f (b) 1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10\/19 + -108\/133. Which is the closest to 1? (a) -4 (b) 0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 587*b - 396*b**2 - 567*b + 397*b**2.\nAnswer: b**2 + 20*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -z**3\/2 - z**2 + 12*z. Let b(j) be the third derivative of -j**3\/6 - 14*j**2. Give 2*b(t) - n(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - x - 3*x - 18, -5*x = -5*z + 25. Solve 3*i + 9 = 3*o - 0, z*i - o = -4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -w + 32, 3*w - 3 = 5*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 8856*i. Let v(x) = x. Calculate v(c(f)).\nAnswer: 8856*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 1\/(-3) - (14 + -14).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1610045209 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*r**2*v**2 + 3*r**2*v*w - r**2*w + 1846140*r*v**2 + r*w**2 + 2*r*w + 5*v**2*w**2 + 2*v*w**2 - w**2 - 937 wrt v?\nAnswer: -8*r**2 + 3692280*r + 10*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3173 and 92986?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -426, -24368, 4 in descending order.\nAnswer: 4, -426, -24368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -4, 1, -3, -11, -732 in ascending order.\nAnswer: -732, -11, -4, -3, 1, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -331*s**2*t**3*z**2 - 2*s**2*t*z**2 - s**2*z**2 + 50*s*t**2 + 4*t**3*z wrt t.\nAnswer: -1986*s**2*z**2 + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 t, and 1 x when four letters picked without replacement from txggtxtgttxxttxgt.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 22, 21, 28, 49, 90, 157, 256?\nAnswer: 393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001799439 rounded to six decimal places?\nAnswer: -0.001799","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -34285090 and 336.1.\nAnswer: -34284753.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 31*q - 246. Let o be i(8). Suppose -4*n = -z + 2, 0 = 3*z + o*n + 71 - 91. Let m(j) = 4*j - 3. Let l(u) = 8*u - 6. Calculate z*l(b) - 11*m(b).\nAnswer: 4*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -320 + 319.9999953. Round f to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 17\/5 + (-4)\/10. Suppose 0 = 3*l - j*q + 5*q - 30, -34 = -5*l + 2*q. Let u be (1*l)\/(4 + -3). Solve u + 6 = -2*r + 5*a, -2*a = -4*r - 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1778.8 - -1524. Let c = -277 - x. Let i = 3.7 + c. Round i to 0 decimal places.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -14*x - 1. Let k be b(1). Let s = k - -21. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*k - 2*c - 1501 = -330, k - 7*k = -3*c + 5*c + 28 + 36 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**4*v**2 - k**4 - 17*k**2 - 70*k*v**2 wrt k.\nAnswer: -12*k**2*v**2 - 12*k**2 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -3. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84\/5 + 86\/5. Suppose 5 - 7 = -2*k. What is the closest to l in -1, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16\/63 in -8, -80, 2\/5, -1\/4, 0.01?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/32 and 0 + 4 - (-15)\/(-2).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-66)\/220 + 200468\/258280. Let a = b - -30\/587. What is the common denominator of 73\/35 and a?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y**3 + y**2 - 1. Let a be m(-1). Let v be a*(4 - 0) - 0. Which is greater: v or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67469819 less than -0.21797?\nAnswer: -67469819.21797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/12 and ((2 - -7)\/(24493\/(-154)))\/((-16)\/(-4))?\nAnswer: 41988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 2*p**3\/3 - 2*p**2 - p - 9. Let g = 3 + 0. Let i be r(g). Solve -3*v - i = 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1*(2*(sqrt(612) + sqrt(612) + 4) - sqrt(612))*6*-1 + -1))**2.\nAnswer: 10584*sqrt(17) + 200689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -25*d. Let r be t(-1). Suppose -5*x = -r, 3*x - 39 = -6*n + 2*n. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -6*q - 16. Determine i(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13374 is divided by 789?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 8*z - 8. Let h be i(-2). Let s = 0.2 + -1.2. What is the third smallest value in 2\/5, s, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*t + 28 = 3*n, 119 = 5*n - t. Suppose 4 = -2*g + 2*k - 58, -k = 3*g + 89. Let o = 36 + g. What is the highest common factor of o and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 24 + -17 + 1 + 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/14 + 6\/21 + -2. Let o be 3 + 11\/z + 58\/6. Solve -2*i - i = -o for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*y = 85*y - 3090. Solve 0 = y*b - 213*b - 14 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -76*x**3 + 20*x**2 + x + 401 wrt x.\nAnswer: -456*x + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1601*m + 92 = 3294 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 222 = 5*r, 4*t + 2*r = -12 + 220. Let k = t + -53. Solve w + 3 = 3*w - 3*p, k = -p - 1 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -29*g - g + 105, 411*g - 407*g + 42 = -2*o for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 3*x = 78. Suppose q - x = -3*b, -3*b + 15 + 17 = 4*q. Calculate the highest common factor of b and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -12. What is k in -7 - 21*k + 1 - z*k**2 + 21*k**3 + 3*k**3 + 12*k**4 = 0?\nAnswer: -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 79270996 and 28311070?\nAnswer: 396354980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 5*h**2 - 5*h + 3. Let j be i(-5). Let q = j + -29. Which is the second smallest value? (a) q (b) -0.3 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135429.\nAnswer: 3, 7, 6449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**2 + 17*a - 17*a.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 74288 to the power of 1\/2, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -52403 and 0.09?\nAnswer: -4716.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.0837ml in litres?\nAnswer: 0.0570837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19317 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(2 - 0)*-5. Suppose 0 = -5*x - y*o + 80, 4*x - 4*o - 39 = 1. Suppose 2*f = -3*l + 36, 3*f - 6 = 3. Solve a - x = -4*p, -2*a = -0*a - l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 2, 11, 245 in decreasing order.\nAnswer: 245, 11, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide ((-39)\/6)\/(1\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mnm when three letters picked without replacement from mmmmmmmmmmmnmmmmmmmm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 5*l - 12. Let w be o(7). Let s(r) = r**3 + 49*r**2 + 3. Let h be s(-49). Suppose -3\/4*g**3 + 3\/2*g**w + h*g - 6 = 0. What is g?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 4*b**2 - 4*b + 2. What is the remainder when r(2) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45699945.7 plus 3350?\nAnswer: 45703295.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c334ed + 5?\nAnswer: -c334e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5*q - 37 = 0, d + 0 - 14 = -q. Let r(f) = -f**3 + 11*f**2 - f + 9. Let o be r(d). Are o and -6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u - 32*u + 8*u + 4050270 = 0. List the prime factors of u.\nAnswer: 2, 3, 7, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -1701*u - 37531. What is w(-22)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 5:01 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42419 is divided by 14115.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-1) - (-22 + 1). What is the derivative of 17 + 520*k**2 - a*k**4 - 520*k**2 wrt k?\nAnswer: -100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b**2 + 13254815*b + 8375630.\nAnswer: 2*b + 13254815","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 439 = 4*w + i, w - 52 - 48 = 3*i. Let v = -54 + w. Calculate the least common multiple of ((-44)\/v)\/((-4)\/10) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.5 - 2.6. Let p = 1.75 + -0.65. Let x = q + p. Which is bigger: x or 1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - r - 112 = 291, -394 = -2*j - 2*r. Calculate the highest common factor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45 in 0.4, -0.2, -0.1, -0.02, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1277.02 to the nearest ten.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26917007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8842, 8847, 8854, 8863, 8874, 8887, 8902?\n\"Answer: s**2 + 2*s + 8839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 12992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13170, -9, 49 in ascending order.\nAnswer: -9, 49, 13170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4457060?\nAnswer: 2, 5, 17, 13109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/294 and 37\/42?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.013 - 5.813. Let g = -117.4 - -123. Let b = v + g. Is -0.5 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 3\/16963?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 8. Let d(w) = -w**2 + 10*w - 9. Let z be d(9). Suppose z*n = -k*n. Sort 4, 2, n in descending order.\nAnswer: 4, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7378742 divided by 3689371?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 993664 is divided by 110350.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 132?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -354*o + 11806 - 23380 = 18134 + 9940 for o.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -90 smaller than -90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10535*h**3*y + 500*h**3 + 2*h**2*y - 269*h**2 + 182*y + 11 wrt h?\nAnswer: 63210*y + 3000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, h: 1, g: 1, v: 4, y: 4}. Give prob of sequence ivv.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 16*b**2 + 16*b - 13. What is the smallest common multiple of 4 and c(-17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/22 in 1\/3, -1\/6, -22, 3083.8, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08 + -0.38. Let d(y) = y - 3. Let m be d(-11). Let t be (-35)\/m*4\/85. Which is the second biggest value? (a) q (b) -0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -29, -51 in increasing order.\nAnswer: -51, -29, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 1:11 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**3 - 2*h**2 + 7*h - 7. Let j be k(4). Let f = 331 - j. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - w + 6*w)*(1 + 6*w**2 - 3 + w - 7*w**2).\nAnswer: -9*w**3 + 9*w**2 - 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (222\/(-1295))\/(-2*1\/10)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 171, 130, 63, -30?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8\/(-52) - (-2868)\/52.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 8 + 48 = 0. Let g(i) = i**2 - i + 64. Let t be g(0). Calculate the highest common factor of t and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**4*l**2 - a**2*l + 9*a*l**2 - 2*a*l wrt a?\nAnswer: -24*a**2*l**2 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*i**4 + 2*i**3 - 1178*i**2 + 826127 wrt i?\nAnswer: -36*i**3 + 6*i**2 - 2356*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by -287845.\nAnswer: -18\/287845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (51*d**2 - 4702 + 4702)*(2 + 5*d - 2) in the form q*d**3 + a*d**2 + o*d + k and give q.\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 831220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 54 in 0.09, -1, -3, 0.5, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1389*z - 83 = -1324*z + 567 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*l + 20*l + 4873 = -6855 + 3774 for l.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10002377 - 10000702.0991. Let c = -1675 + z. Let g = c - -0.095. Round g to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 21, 12\/7, 11387, 6?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 4*m = -4*c + 3, 0 = -2*c - 2*m + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (3 + (-1)\/1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9 + -5*(-498)\/200 and 57\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10141 and 0.006?\nAnswer: -60.846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 95, 140, 185, 230, 275?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, o: 13}. Give prob of picking 4 l.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -379 - -604. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 1. Let n be (2\/(-6))\/(87\/783). Let c(w) = -4*w**2 + 2*w - 11. Give n*p(u) - c(u).\nAnswer: u**2 - 2*u + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -h + 5, 4*b - 23 = 3*h - 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 32, -0.5, 0, -35, 0.1 in decreasing order.\nAnswer: 32, 4, 0.1, 0, -0.5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 420097246*n**2 - 2754027*n wrt n?\nAnswer: 840194492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1732041 is divided by 577319.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, w: 7, l: 1, u: 5}. What is prob of picking 2 u and 1 w?\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -5, -0.511, -2\/3, 2\/13?\nAnswer: -0.511","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -72 - 9?\nAnswer: -7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 187\/9 + (-4)\/(-18). Let l = 26 - z. What is the smallest common multiple of 2 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94924 = 4728*s - 2230*s for s.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 119038 to the power of 1\/2, to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25557 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 172050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-3 + 10 + 0 - (-1 + 20))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 5 - 30. Let f be 3\/6*(0 + 2). What is the third biggest value in -1\/2, f, i?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 4. Suppose c = z - 28. Calculate the highest common divisor of 24 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 9*o**2 - 15*o + 4. Suppose 0 = -4*a + 2*c - 38, 4 = -5*c + 29. Give w(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5622 divided by 6.\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -4. Let i be ((-3)\/(-1))\/(c\/12). Let h be 5 + (1 - (-1 + i)). Solve -k + 5*k + 11 = h*n, 2*k + 4 = 2*n for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/12)\/(2079\/(-396))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 4*r = -12, 14 - 11 = 3*r for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + -4. Let r = 281 - 283.27. Let x = -1.97 - r. What is the smallest value in s, -23, -0.1, x?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 76\/11*w**3 - 8\/11*w**4 + 0 + 54\/11*w - 120\/11*w**2 - 2\/11*w**5 = 0.\nAnswer: -9, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -2\/9 (b) 1\/4 (c) -1\/11 (d) -0.1 (e) 762 (f) 1\/7 (g) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -675037.9947 + 675006. Let t = -32 - y. Round t to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -26*d**2 + 258*d + 23. Calculate the least common multiple of x(10) and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.7915875 days?\nAnswer: 18.9981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 3. Suppose -4*t + 3 = a*i - 4, 5*i + 35 = 5*t. Suppose -27 = -t*x + 29. Calculate the highest common divisor of 98 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51 + -6 - 63) + 68.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 + 80*m**2 - 295*m + 220.\nAnswer: -5*(m - 11)*(m - 4)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) + 1 + sqrt(75) + sqrt(3) + (sqrt(21) + sqrt(42)\/sqrt(2))\/sqrt(7) - 1*sqrt(60)\/sqrt(5))*-5)**2.\nAnswer: 550*sqrt(3) + 9100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12\/1003 - -27777\/58174. What is the common denominator of -49\/6 and x?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 573734713496 and -1.454.\nAnswer: 573734713494.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/14, 15, -3, 4?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -305, -2437, -8225, -19499, -38089?\nAnswer: -65825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 122 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 0*q - 2*q)*(q**3 + 4*q**2 - 4*q**2) - q**4 - 3*q**4 + q**4 + (-11*q**4 + 20*q**4 + q**4)*(4 - 3 - 2).\nAnswer: -14*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 2*x**6\/45 + x**5\/4 + 2*x**4\/9 - x**3\/6 + 4*x + 15. Suppose p(c) = 0. Calculate c.\nAnswer: -3, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**6\/120 - x**5\/6 + 5*x**4\/12 - 4*x**3\/3 + 16*x**2. Let u be l(9). Let a = 31 + u. Is a a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 8:57 AM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -267950.28 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*t = 2*c + 3, -1 = -5*t - 4*c. Let d be -3 + (-16)\/4 + -20. Let z be 3\/d + 5\/15. What is the nearest to t in z, 0.3, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45891508?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 - 2*a + 1. Let w = 15 + -14. Let b be n(w). What is the nearest to 2 in 1\/2, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -26*y - 220. Let w be h(-22). What is the highest common divisor of w and 264?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/2 and -137\/74140.\nAnswer: 74140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -l**8\/20160 + l**7\/5040 - l**5\/20 + l**2. Let i(u) be the third derivative of k(u). Solve i(m) = 0 for m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 56522960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 43281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 5*a**2 + 19. Calculate the remainder when 132 is divided by q(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and 128\/13077 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 375306.1 millilitres?\nAnswer: 375.3061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519 a factor of 927940391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 39 + 88 - 5 + 10*a**2.\nAnswer: 10*a**2 + 115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/4233 and 3\/34?\nAnswer: 8466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by 22.\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*j - 1409980, 5*h + 4*j = 5403973 + 1646047. What is h rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 77\/5 of a microgram?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3\/(-4))\/((-3)\/48).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 80, 2, 46, 12, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z**2 + z**2 + 2 + 1)*(3*z + 5*z - 5*z) to o*z**3 + c*z**2 + b*z + n and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1701*k + 4214*k + 12283 + 37977 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5301, 5155, 4911, 4569, 4129?\nAnswer: 3591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 377 + -80. Suppose -5*z = -2*z - t. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 1. Let h(f) = -1. Let v be (-46)\/(-10) + (-2)\/(-5). Let b(y) = v*h(y) + 3*d(y). Differentiate b(a) wrt a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -649 - -643. Which is bigger: v or 4.4?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32471?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 5*s**2 + 7*s. Let q be g(-3). What is the least common multiple of (-1)\/q - 66\/(-99) and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 64 - -6969?\nAnswer: 7033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 3\/7 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*q - 6*q + 5*q)*(1 - 3 + 0) + (0*q - 4*q + 14*q)*(0 + 3 + 1).\nAnswer: 60*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010 - 100001111?\nAnswer: -100100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3514872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z + 0*z + 3*z + 7*z + z**2 - 3. Let g be f(-10). Solve 0 = 2*b - g*b - 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 43 (c) -1\/5 (d) 0.005 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2. Let h(g) = -g**2 - 5. Let d(a) = -11 + 0 - 13 - 5*a**2. Let s(t) = 2*d(t) - 11*h(t). Calculate -7*l(z) - 2*s(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -442, 3 in increasing order.\nAnswer: -442, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -206 - -305. Let l = 100 - y. Which is bigger: 1\/2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1117, 5326, 13929, 28222, 49501, 79062, 118201?\nAnswer: 168214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**2\/b))\/b**(-2\/57))\/((b\/((b**(-8\/9)\/b)\/b))\/(b\/b**(-9)*b)) assuming b is positive.\nAnswer: b**(1222\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 27. Let d be (3 - 74\/s)*-3. What is the closest to 0 in 4\/7, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c + 58. Let l be x(14). Suppose 0 = 5*r - 0*r - l. Solve 4*w = r*w - w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 637, 639, 641, 643, 645, 647?\n\"Answer: 2*i + 635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 14. Which is the closest to 1? (a) o (b) -0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120 by -955.\nAnswer: 24\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 1438*p**2. Let c(z) = 2*z + 42. What is d(c(k))?\nAnswer: 5752*k**2 + 241584*k + 2536632","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -224*-101.8\nAnswer: 22803.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3 + 2*(sqrt(140)\/sqrt(7)*4 + sqrt(60)\/(sqrt(9)\/sqrt(3)))**2)*-2.\nAnswer: -1998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-33)\/(2\/(-16)*6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 + 17. Let b = u + 8. Let t = b - -13. Let j(z) = 2*z**3 - 7*z**2 + 7*z - 7. Let a(h) = -h**3 + 2*h**2 - 2*h + 2. What is t*a(w) + 2*j(w)?\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1105.9995017 - -1106. Round j to 5 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 257 + -176. Let v = u - 79. Find the third derivative of 17*r**v - 10352*r**4 + 10*r**6 + 10352*r**4 wrt r.\nAnswer: 1200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10446*k + 5229*k + 5230*k.\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of 0*m**5 + 0*m**4 - 28*m**2 - 2\/5*m**6 + 1\/3*m**3 + 0 + 0*m. Differentiate a(o) with respect to o.\nAnswer: -144*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*v - 8*v**2 + 11*v**2 + 8 - v**2.\nAnswer: 2*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (-66192)\/30*420\/(-56)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-20))\/(247\/76).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u, u = -4*w - 2*u. Suppose w*z + 3*r = -z + 257, -1321 = -5*z + 3*r. Let v = z - 175. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1)**(-22)\/(c**(-2\/7)*c*c*c\/c**3))**(-47) assuming c is positive.\nAnswer: c**(7144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkuc. What is prob of picking 2 k?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2710 is divided by 2686?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*p - 4*p**2 - 11*p)*(-p - 3*p + 2*p) + 17 - 3*p**3 - 17.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352 is divided by 72.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(18) + (sqrt(2) - (sqrt(72) + -1 + sqrt(2)))**2.\nAnswer: -9*sqrt(2) + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 e, and 1 k when four letters picked without replacement from {e: 4, k: 2, h: 2, a: 4, c: 5}.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/546880 and -43\/3664096?\nAnswer: 36640960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h - 27. What is the remainder when 73 is divided by d(-16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -11 - 1 + 19 + 4*h - 7 - 1. Let d(m) = 9*m - 2. Suppose 3*o - 3*v - 6 = 0, -4*v + 32 = 4*o - 0*o. Give o*i(b) - 2*d(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*s + 756 - 891 = 0. Suppose 0 = w - 4 + 2. Solve 7*x - s*x - w = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9 - -1)\/(-1 + 0). Let q = -10 - b. Solve -3*w - y + 5 = q, 2*w - y + 0 = -5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.9 times -32\nAnswer: -124.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilometer in meters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6087b6 (base 12) in base 7?\nAnswer: 15550251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -102*b + 1740. Let o be s(17). Solve -o*f + 17*f = 44 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*a - 5*r + 270 = 45*a, -a + r + 48 = 0. Let o(y) = 8*y + 7. Let b be o(5). Suppose a - b = v. Solve -x + v*f + 23 = 0, 0 = -4*x + x + 3*f + 24 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2\/9 - 114749960*s\/9 + 25499992 = 0.\nAnswer: -57374982, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 15, 1\/8, 3\/7, -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 6. Suppose -q = l - 5109 - 880, -4*q = -l + 5994. Let r(z) = -2 - 7 + l*z - 5988*z. Determine 8*n(m) + 5*r(m).\nAnswer: 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48865 divided by 1685.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 47340697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-605)\/67 + -1 + 548 + -538\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 551*p**2 - 271*p**2 - 278*p**2 - 9 + 239*p**3.\nAnswer: 239*p**3 + 2*p**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 5*y**2 + y + 5. Determine w(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + (sqrt(95) + (sqrt(95) - sqrt(95)*2))*3 - -6*-3*sqrt(95))\/((sqrt(450)\/(sqrt(10)*1))\/(sqrt(90)\/(sqrt(40)\/sqrt(4)))).\nAnswer: -17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/14 - (-4290)\/(-182). Is -119\/5 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-22))**(-34)\/(g**(-22)\/g**(1\/17)) assuming g is positive.\nAnswer: g**(13091\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -175, -195, -205, -193, -147, -55, 95?\n\"Answer: 2*s**3 - 7*s**2 - 13*s - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002855 to 5 dps.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 54\/5 of a century?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 10. Suppose 0 = 4*y - 5*w - 85, 2*y = -2*y - p*w + 35. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 4:29 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.0473, -1.4 in descending order.\nAnswer: 0.3, -0.0473, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 243 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 462 + -461.7. Let s = 461 + -463.09. Let o = s + 0.09. What is the second smallest value in 3\/2, r, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001357 to four decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((-832)\/72 - -7)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z - 3. Let b be x(4). Let l(m) = 13*m - 5. Let q(c) = 19*c - 7. Let v be -2290*(-3)\/2*250\/625. Let i = 1379 - v. Give b*l(a) + i*q(a).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 5*x = 85. Suppose x = -2*r + 5*f, f + 3*f - 28 = -2*r. Sort -5, r, -2, 3 in ascending order.\nAnswer: -5, -2, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, s: 1, p: 3}. What is prob of picking 1 s and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000106204 to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/122 (b) 50 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) + -1*(-1*sqrt(65) + sqrt(65)))\/((-2*sqrt(25))\/sqrt(5)) - 3*(1 + sqrt(13))*1*2)**2.\nAnswer: 78*sqrt(13) + 2341\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*y + 173*y = 67*y - 462 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 2\/59 (c) 1 (d) 1\/3 (e) 491\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p = 9*p, 0*q = -4*q + 4*p + 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -9. Which is the nearest to -1\/4? (a) k (b) 0 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -744*q**2 - 2978*q - 8.\nAnswer: -2*(q + 4)*(372*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008882434 to 6 decimal places.\nAnswer: -0.000888","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from awjyygqg. Give prob of sequence gjg.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -12. Suppose 4*v - c*v = -237. Let y = -37 + v. Does 16 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -117056 + 117056. Let s be 2 + -1 - 5\/4. Which is the fourth smallest value? (a) w (b) -3\/5 (c) -2\/5 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + -1 + -5 + 1 + -2 + 1 + sqrt(3) + 0)**2.\nAnswer: -24*sqrt(3) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 165 and 13992?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, v: 4, i: 5}. What is prob of picking 1 t, 1 i, and 1 v?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.89 + 315.89. Is 0 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + (-1 - 524\/(-100)) + -2. Which is greater: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1145219152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 2\/6 + (-4)\/12 + (-1238251)\/(-161)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g - 3. Let m be o(-7). Suppose 90*t - 1708 = -4*n + 95*t, -2*n + 856 = -2*t. Suppose 4*b = m*c - n, c - b = -2*c + 314. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 14*y**2 - 5*y + 51. Suppose -4*m + 821 = 765. Calculate u(m).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*o + 426 = -2054. Let k(d) = d - 49. Calculate k(o).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 779*b**2 + 13 - 787*b**2 - 2*b + 2 as g*b + m*b**2 + w and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12*147\/70)\/((-14)\/(-35)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, h: 2, f: 1, q: 1, y: 1, b: 1}. Give prob of sequence hy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -105 (b) -115 (c) 1.9 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 5*sqrt(1300) + 1 - (2*sqrt(1300) + -5 + (3*sqrt(1300)*-1 - sqrt(1300))))*-2)**2*2.\nAnswer: 8960*sqrt(13) + 510112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (44\/(-6))\/((-40)\/60) and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*f + 28, 2*p - 3 = -p - 3*f. Sort -3, p, -4, -1 in descending order.\nAnswer: p, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/126 and -91\/5954232?\nAnswer: 125038872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g - 1. Let k = 68 - 64. What is j(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x = -11*x - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -13*g**6 + 511*g**3\/3 + 2*g - 440. Find the second derivative of o(x) wrt x.\nAnswer: -4680*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -102, 538, -1, -0.5.\nAnswer: -102, -1, -0.5, 538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 9, 12 in ascending order.\nAnswer: 9, 12, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/5 - 10462320*q + 68412587364000.\nAnswer: 2*(q - 13077900)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(((t\/(t\/t**(-1\/4)))\/t)\/t)*t)**(-2\/105)\/(t**0)**44 assuming t is positive.\nAnswer: t**(-1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzzuzuuz. Give prob of sequence zuzz.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -123*u - 65*u + 3*u - 78*u - 25*u to the form s + r*u and give r.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.3, 2, 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 669888 is divided by 638?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 312 = -5*v, j + 2*j - 117 = -2*v. Let i be 9\/(-6)*(-24)\/v. Which is the second biggest value? (a) -0.4 (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5 - 20*r**4 + 25*r**3 + 710*r**2 + 1820*r + 1352.\nAnswer: (r - 13)**2*(r + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45688788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/13 + 690805976*u\/13 - 59651612059664072\/13.\nAnswer: -2*(u - 172701494)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -0*k - k + 8, 3*k = 5*u - 31. Does 2 divide (2 - 0)\/(3 + k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.15 and 0.020709.\nAnswer: -0.129291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -2. Let q(t) = -8*t**3 + t**2 + t + 1. Suppose 0*p + 3 = p. What is the remainder when q(x) is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 214787, 429574, 644361, 859148?\nAnswer: 1073935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 227237887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**2\/3 - 94*j\/3 + 32 = 0.\nAnswer: -48, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -388, 15268, 5.\nAnswer: -388, 5, 15268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (7 - (1 + -5 - -4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**9*z*z)**(10\/9) assuming z is positive.\nAnswer: z**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2236 = 4*g + 4*n, g + 1117 = 3*g + n. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 38*s**2 + 73*s - 973. Is 64 a factor of m(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.6 (b) 0.5 (c) 0.4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vhhv when four letters picked without replacement from wwvwwvwhhhwhhw.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - r = -b + 4, b = -r + 8. Let m(i) be the second derivative of -5\/12*i**b + 0 + 17*i - 5\/2*i**2 + 5\/3*i**3. Factor m(p).\nAnswer: -5*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -1667 + 1679. Solve 3*f - 8 - 4 = -3*m, m = 3*f + x for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + t + 4*a + 40, -2*t - 20 = -a. Let p(s) = s**2 + 10*s - 6. Let f be p(t). What are the prime factors of 2\/(-12) - 193\/f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 392 divided by -392\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*t**3 + 139*t**3 - 61*t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13)\/2*(10 + -12). Solve -r = 3*o - 4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37.1637 - 25.16365. Let f = h - 12. What is f rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 5*t - 45 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 6*m**2 - 7*m + 3. Suppose 2*h - 3*v = 3*h - 33, 5*h - 3*v - 111 = 0. What is the remainder when p(-7) is divided by (-48)\/(-14) - (h\/14)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (7706\/(-6) - (69 - 73))*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8*(-2 + 3)\/(-4). Let j(b) = -3*b - 3. Let s be j(-4). Let q = s - 5. Solve 5*y + 1 - 8 = -i*d, -q*y + 24 = -3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0496 times -0.5\nAnswer: 0.0248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+0.163042389\nAnswer: 0.563042389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 470*r**2 - 246*r**2 - 236*r**2. Let g(s) = -20*s**2 - 17. Suppose 0 = t + 5 + 1. Let j(h) = -7*h**2 - 6. Let d(y) = t*g(y) + 17*j(y). Give d(b(n)).\nAnswer: 144*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*m**2 - 21*m**2 - 24*m**2)*(-5 - 18 + 10)*(-3 + 4 - 2) + m**2 - 5*m + 5*m to o*m + a*m**2 + u and give a.\nAnswer: -493","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 times -1844303?\nAnswer: -121723998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 1650*i + 43. What is the remainder when 420 is divided by s(0)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16.787 - -0.113. Let g = -17 + x. Which is greater: -92 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a minute in milliseconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -343434 + 444?\nAnswer: -342660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 33*x**3\/2 + 6*x**2 - 33*x\/2 - 6 = 0.\nAnswer: -1, -4\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 95*w + 14. Let l(n) = 46*n + 6. Let d(c) = 3*i(c) - 7*l(c). Let s(f) = -f - 7. Let a(r) = -r - 6. Let u(y) = -7*a(y) + 6*s(y). Give d(u(j)).\nAnswer: -37*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 58 - h**2 - 21 - 29 as t*h**2 + m + d*h and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12073?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -103849372*x**4 - 52839273*x**2.\nAnswer: -2492384928*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 10:27 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.29 and -0.0161?\nAnswer: -0.004669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**4 + 0*m + 0*m)*(-2*m + 2*m + m) - m**5 + 3*m**5 - 3*m**5 + m**5 + 6*m**5 + 0*m**5.\nAnswer: 5*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w + 43 = 91 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsvvppvvvvvpvsvsvvv. Give prob of sequence sp.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(49\/25) - 3\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4617950 divided by 950\nAnswer: 4861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48*p**3 + 328049*p**2 + 2599*p + 2433?\nAnswer: 288*p + 656098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/1 + 43 + -41)\/((-2)\/(-9))\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcct when four letters picked without replacement from {c: 2, p: 2, y: 1, t: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -24, 3947, 4?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 1, -4, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -7\/12*y**4 + 0 + 2*y**2 + y**3 + 2*y + 1\/20*y**5. Let i be q(6). What is the smallest value in i, 2\/3, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/3)*z*z**(-49))\/(z**(-22))**(14\/3) assuming z is positive.\nAnswer: z**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-29\nAnswer: -2.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*c + 0*c - 9*c.\nAnswer: -55*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3168895*m + 2075817 wrt m?\nAnswer: -3168895","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + b + 0*b)*(-b + 6*b - 4*b) - 2*b**2 - 5*b**2 + 8*b**2 + (4 + 3*b - 4)*(-6 + 3*b + 6).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 640, 639, 638, 637, 636?\nAnswer: 635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10100101 (base 2) to base 8\nAnswer: -245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*i**3\/4 - 2439*i**2 - 275103*i\/4 + 1414017\/2.\nAnswer: -3*(i + 69)**2*(25*i - 198)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-540)\/35)\/(-4) + -5 + 1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2690*b + 3 - 1 - 2451*b)*(8 - 3 + 11) to the form o + n*b and give o.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/7 less than 0.185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2862596*z**3 + 3*z + 149831 wrt z?\nAnswer: 17175576*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10864104 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: Let h be -2 + (-145560)\/84 + -4. Let p = h - -1740. Factor 2\/7*i**3 + 0 - 8\/7*i**2 + p*i.\nAnswer: 2*i*(i - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/1831, -0.2, -19\/6, 51, -3?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 - -11. Let t(z) be the third derivative of -z**6\/120 - 11*z**5\/60 + 5*z**4\/12 - 23*z**3\/6 - 9*z**2. Let s be t(n). Which is greater: 1\/10 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -15*w**5 - 260*w**4 - 1255*w**3 - 1350*w**2 + 2080*w + 800 = 0.\nAnswer: -10, -4, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2963603, -2963601, -2963599, -2963597?\nAnswer: -2963595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18092 - 9044 - 280*w - 214*w - 9046 - 192*w.\nAnswer: -686*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154, 330, 556, 856, 1254, 1774?\nAnswer: 2440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/2)*l)**0\/(l**(-8)*l\/l**(-1\/9)) assuming l is positive.\nAnswer: l**(62\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + -3)*(-1 + 2). Let r be (84\/(-665))\/(j\/5). Which is bigger: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 1036090*o - 11396990. What is i(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2414*j + 2409*j - 4*y + 7 = 0, 3*j + 3*y - 6 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.059 + -0.059. What is the nearest to -0.12 in -0.3, p, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*z = -22747 - 19074, -2*w + 83626 = 2*z. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22395041153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -29 + (2 - 27) + 30 + -10.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 12*x**2 - 5*x**2 - 8*x**2 - 3*x**2 + 6 + 3*x**2. Calculate q(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**4 + 5*p**4 - p**4)*(-6*p + 1 - 1) - p**5 - p**5 - 3*p**3 + p**3.\nAnswer: -8*p**5 - 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 times 78663?\nAnswer: 1258608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from systuuuyssssysyy. Give prob of picking 1 t, 2 y, and 1 s.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dbbbbbdbdbdbbbdddbdd. What is prob of picking 2 b and 2 d?\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3306.1 + 3306. Which is the biggest value? (a) 0.06 (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/5 or -6847.298?\nAnswer: -6847.298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) 174 (b) 42 (c) -1 (d) 143\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (327\/24)\/((-2)\/(-4) - -1) and -7\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*c*d**3 + 26*c*d**2*z + 2*c*d*z + 217*c*d + c*z wrt d?\nAnswer: -30*c*d + 52*c*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5064?\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*m - 3*r + 2*r, 5*r = m + 2. Let j = 6 + m. Let z be 260005 + -1 + j + -3. What is z rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i**3 + 0*i + 0*i)*(-49 + 29 - 97)*(-3 + 2*i + 3) to the form p*i + x*i**3 + a + q*i**4 + b*i**2 and give q.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 1131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/5 and -139\/402.\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19694 - 19695.43895. What is i rounded to 2 decimal places?\nAnswer: -1.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19 - -3031719?\nAnswer: 3031738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + 2*a = -2*z, 5*z = -2*a + 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 234602723 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((2 + sqrt(99) + (-1 + sqrt(99) - sqrt(99))*5)**2 + -1).\nAnswer: -214 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 1. Let z be (-1 + 7\/4)*-16. Let g be z*(0 + (-2)\/4). Let f(l) = -2*l**2 - 3. Determine g*a(w) + 2*f(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75768 divided by 82.\nAnswer: -924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - p - 8, -2 = -p + 2*p. What is the fourth biggest value in 3, 4, 2\/7, t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20334.\nAnswer: 2, 3, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-3)\/24)\/(1\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1500\/90)\/1*((-9)\/(-6))\/1. Let g(v) be the first derivative of -p + 2*v**2 + 24*v - 4\/3*v**3. What is k in g(k) = 0?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117060223 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 - 190*q + 65 - 65 + 3*q**2 as s*q + b*q**2 + k and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g - 5. Let r be w(5). Let x be -1 - 1*r\/(-21). Let p be (0\/(-1))\/(0 - 1). Which is bigger: p or x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -217 - -125. Let c = l - -112. Let n be 3\/9 + 11\/3. Solve 0*s = -n*o - 2*s - c, 3*o + 6 = 3*s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, 0.12, -240\/13, -3 in decreasing order.\nAnswer: 7, 4, 0.12, -3, -240\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iqqi when four letters picked without replacement from {q: 3, i: 9}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + 4. Suppose 0*x - 5 = -x. Suppose 4*h - x*h = 0. What is the units digit of i(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11339921 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 1. Let m be (-4 + 2)*10\/((-50)\/(-15)). Let q(b) = 4*b + 9. Determine m*w(a) + q(a).\nAnswer: 4*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 5*z - 8, 2 + 2 = -b + 5*z. Suppose 5*n - 32 = -12. Solve b = -r - n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 4 = -6*h + 2*q, 2*h + q - 1 = 0. Factor -6 + 20 + 33*b**h - 96*b + 31*b**2 + 22.\nAnswer: 4*(4*b - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/(-33)*2*1\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (770\/(-20))\/((-1)\/174). Suppose -10*y = -31*y + t. What is the remainder when y is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - (-4 - -2)) + 0. Is -2 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilometer in meters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -6. Suppose 2 + 3 = f*z. Let y = 1339\/7 - 191. What is the closest to -1 in 1\/8, z, y?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 111 - 6. Let j be (-26)\/(-5)*(1694\/44 + -1). Calculate the greatest common factor of q and j.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 40*z - 176. Calculate f(45).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 0 - 1 - (97 - 104)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.21527 to one decimal place.\nAnswer: 15.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 0 + 1 - 1 + 2*b. Let s(v) = -27*v. Give f(s(w)).\nAnswer: -54*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3992, -3993, -3994?\n\"Answer: -d - 3991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 8*c - 8. Give d(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4353847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -321, -674, -1025, -1374, -1721, -2066, -2409?\nAnswer: -2750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.68716 (b) 1\/8 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v**3 - v**3 + 2*v**3)*(v + 3*v - 2*v + (190 - 113 - 127)*(-9*v - 4*v - 17*v)) to f*v**2 + g + q*v + w*v**3 + b*v**4 and give b.\nAnswer: 3004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 334543 (base 6) to base 4.\nAnswer: 12321333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/2)\/(-5 + 7). Suppose q - 78 = 4*i, -3*i = -g*q + 1 + 233. List the prime factors of q.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66.9 + 2.1. Let t = j + -68.914. Let g = t + -0.085963. What is g rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.013 times 6177601\nAnswer: -80308.813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**4\/3 + 6571*w**3\/3 + 3878965*w**2 + 2715562193*w\/3 + 13287709340\/3 = 0. Calculate w.\nAnswer: -3149, -268, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x. Let r(q) = 3*q**2 - 4. Let o(i) = 4*i**2 - 3. Let y(d) = -4*o(d) + 3*r(d). Determine y(z(a)).\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*v = 2*v - 6, -2*o + 6 = -v. Let i(z) = 7*z - 1. What are the prime factors of i(o)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-4.5578486\nAnswer: 4.5578486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -7*d. Let w(v) = -8*v. Let b(k) = -k + 18. Let s be b(11). Let a(z) = s*l(z) - 6*w(z). Suppose 27 = 3*u + 9. Let m(i) = -i. What is u*a(p) - 3*m(p)?\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -81725 and 271.78655.\nAnswer: -81453.21345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a gram in milligrams?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 4 (b) 2\/9 (c) 2\/17 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 4 + (23 - 17) + -1 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 0.1 (b) 1.337 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 - 16516?\nAnswer: -16534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 1 - (-2 - ((22 - 9) + 5 - -3)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -861 = -20*b + 3*b - 1082 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14483*u**2 + u**3 - 14483*u**2.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85918 = -262*d - 569*d - 25*d + 134*d for d.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.073, -7, -4?\nAnswer: -0.073","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 380 - -100. Suppose j = -6*o + 9*o. Suppose -b + 15 = -5. What is the greatest common factor of o and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 640.3 * -0.101.\nAnswer: -64.6703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6259155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 66 and -488?\nAnswer: -32208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(2 + 2 + -3). Solve i*d + 4*q = 0, 0 = 2*d - 0*d - 2*q + 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*i**3 - 311*i**3 + 71*i**3 + 67*i**3 + 61*i**3 + 57*i**3.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/13)\/h**1*(h**(2\/15))**(10\/3) assuming h is positive.\nAnswer: h**(-47\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, l: 2, y: 2, a: 9}. What is prob of sequence xlxl?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.65992 hours in seconds?\nAnswer: 232775.712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-6) + (-4)\/(-6). Let v be -7 + y + (4 - 3). Suppose 0 = -0*g + 2*g. Put 5, v, g in increasing order.\nAnswer: v, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3120 is divided by 1037.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -23156350 to the nearest ten thousand.\nAnswer: -23160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from uuuuuuuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 + 150\/35.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - f - 2 = 4*z, 5*z + 2 = -f. List the prime factors of 2 + z + -5 + 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -846 by 47.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.27*-19641.\nAnswer: 5303.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(5\/3)*k**(-3\/4)*(k*k*k**1)**45)**(-41) assuming k is positive.\nAnswer: k**(-66871\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**3 + 1352134*d**2 + 13521190*d + 33802850 = 0.\nAnswer: -676057, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 0*s + 4*s)*(85*s - 27*s + 18*s) + 3*s**2 - 4*s**2 + 0*s**2.\nAnswer: 75*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 5*f - 54, -2*f - 3*g + 27 = -4*g. Suppose 2*q + q = -f. List the prime factors of q\/(-8)*(0 + 31 + -1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/(-98) - 330\/28. Let v be 1 - 8\/(-3 + 1). Suppose -r = -g + 13, v*r + 9*g = 4*g - 55. Which is smaller: u or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*((sqrt(140)*4)\/sqrt(5) - sqrt(336)\/(sqrt(432) + sqrt(12)))*3)**2.\nAnswer: 26244\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 28, 51, 64, 67, 60?\n\"Answer: -5*x**2 + 38*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 6) to base 16\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 + 57442*m.\nAnswer: -m*(m - 57442)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -9725770 to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4155652 (base 7) in base 16?\nAnswer: -7a6ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 376.999973 + -377. Round b to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*y + 8569 = -263*y for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 364 - 360. Let t = -917 + 916.7. What is the second biggest value in t, 3, -8, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2 - 11*x + 13. Suppose -4*u - 2*l = -0*l + 6, -l = 3. Let g be (-6 - (1 - u)) + -3. Is a(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/((-25)\/5) - 1. Let b(h) = h**2 + 20*h + 51. Let k = -12 - 6. Let g be b(k). Sort 1, g, m in increasing order.\nAnswer: m, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 711 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 + l**2 - 4*l + 2. Let r = -4 - -7. Let f(b) = r*b**2 - b - 2*b**3 - 8*b + 5 - 2*b**3. Determine 2*f(h) - 5*g(h).\nAnswer: 2*h**3 + h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 38*a - 257. Let m be c(7). Let o(p) = -2*p**3 + 22*p. Let f(b) = -4*b**3 + 44*b. Calculate m*o(i) - 4*f(i).\nAnswer: -2*i**3 + 22*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 36 = 4*b. Let h(u) = -55*u**2 - 13*u - 21. Let t(w) = 46*w**2 + 11*w + 22. Let d(n) = 5*h(n) + 6*t(n). Let f be d(b). Round f to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -903, -1303, -2387, -4497, -7975, -13163?\n\"Answer: -57*p**3 - p - 845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 330.182 years to decades.\nAnswer: 33.0182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 - 111182710*j + 618079750147205.\nAnswer: 5*(j - 11118271)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*d - 2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*k - 146*k = -23. Suppose 18*f = k*f + 2057500. What is f rounded to the nearest 10000?\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9246 + -9241. Put i, 792, 2 in descending order.\nAnswer: 792, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 (base 16) to base 6\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventy-five halves of a gram?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(5\/4)*a)\/a)\/(a*a*a**12) assuming a is positive.\nAnswer: a**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) -40\/7 (c) -4 (d) 2\/7 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*(-3248)\/(-700))\/((16\/(-5))\/8).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -538, -2301, -5356, -9703, -15342?\nAnswer: -22273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 5*p**2 - 8*p + 7. Let a = 833 - 1694. Let l be a\/6 - (-6)\/(-12). Let d = -138 - l. Give n(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 + -39. Let u be (-33)\/b - (0 - (-2)\/(-7)). Let c be (-1 + 1)\/((-2)\/(-1)). Solve c*o - o - 3*r = 0, -u*o = -5*r for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.89, -5, -0.0533?\nAnswer: -0.0533","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2. Let b(z) be the first derivative of -1\/12*z**4 + 0*z - 3 + 1\/2*z**2 + 0*z**3. Let d(m) be the second derivative of b(m). Give r(d(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -14 + w - 5*w - 2*w + 5*w. Let l(h) = -2*h**2. What is l(k(b))?\nAnswer: -2*b**2 - 56*b - 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/264 and 7\/20?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/365071 - -10013378\/365071. Find k, given that 0 + 2\/7*k**4 + 128\/7*k**2 - 4*k**3 - x*k = 0.\nAnswer: 0, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 10*i - 390. Let b = 7 + i. Is 18 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3.6 (b) -4 (c) 0.2 (d) 2\/3891 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -23114 (base 5) to base 14\nAnswer: -867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8451485 divided by 95?\nAnswer: 88963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 0*w - 6*x = 309 - 204, -w - 4*x - 71 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2\/33, 14\/73, 3\/5, -16 in descending order.\nAnswer: 3\/5, 14\/73, 2\/33, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -10. Suppose -4*y = -5*t + 14, -1 = -5*t + 3*y + 12. Let n be 1 + 1 + k*t. Calculate the highest common divisor of 8 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 6146*f - 122534. Give w(-20).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-4\/7))\/q**(-3))\/(q**(-2\/13)\/(q\/q**(-1\/11))) assuming q is positive.\nAnswer: q**(5822\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, x: 5}. What is prob of sequence zzx?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1c3b (base 14) to base 15\nAnswer: -17d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8627011410 to the power of 1\/2, to the nearest integer?\nAnswer: 92882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 + 55. Suppose 2 = 2*g + v - 0, 3*g + v - 4 = 0. What is the third derivative of 8*b**c - 87*b**2 + 96*b**g + 6*b**3 wrt b?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66397058 is divided by 98366.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) - (sqrt(48)\/(sqrt(6)*2 - sqrt(6)) + sqrt(8)) - (sqrt(72)*3 + sqrt(8)))\/(sqrt(64)*3*3).\nAnswer: -11*sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 744*f**3 - 39.\nAnswer: -744*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, i: 2, v: 1, w: 1}. What is prob of picking 2 i, 1 j, and 1 v?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75675000 to the nearest integer?\nAnswer: 8699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1604 - -10016?\nAnswer: a612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 9:36 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.92664 rounded to one dp?\nAnswer: 10.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eyymeeemvmmyvmmyb. Give prob of picking 2 y and 1 e.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 2*r + 14, 3 = 2*r - r. Let u = 108 + -58. Suppose o*g - u = -g. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2436 divided by -6.\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by -3286.\nAnswer: -18\/1643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1774)\/(-58542) - (-122)\/2508?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q*q**(-3\/8)*q*q)\/q)\/(q\/q**(3\/4)*q*q))**(-6\/5))**(3\/7))**(-36) assuming q is positive.\nAnswer: q**(-81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1291, 1291, 1287, 1279, 1267, 1251?\nAnswer: 1231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7\/17 - 29\/153. Suppose 4*m = m - 117. Let p be (-4)\/m*(-6)\/(-4). Which is the closest to 1? (a) 3 (b) p (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1843693*g + 1843693*g - 370*g**2 - 780*g**2 to the form r*g**2 + p + k*g and give r.\nAnswer: -1150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 273384 divided by 6\nAnswer: 45564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1977 - 1978. What is the nearest to 1\/2 in -3, c, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22821 or -22820?\nAnswer: -22820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*j + 61*j - 2*y - 2640 = 0, -j + 541 = -3*y. What is the remainder when j is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/3)\/(((-4950)\/(-315))\/((-6)\/14))\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06 + -5.94. What is the second smallest value in 1\/6, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -1 (b) -3368236 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q + 5. Let i be t(-5). What is the tens digit of -8*(2 + i\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4940342 to three dps.\nAnswer: -0.494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 10:34 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13857 is divided by 270?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v. Suppose 18 = 5*i + 3. Let n(u) = 0*u - 6*u - 2 - i. Let j(m) = m + 1. Let b(p) = 10*j(p) + 2*n(p). Calculate b(g(h)).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2261419.\nAnswer: 31, 72949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**6\/80 - 197*n**5\/8 + 244027*n**4\/16 - 723243*n**3\/4 + n**2 + 5494*n - 2. Factor g(w).\nAnswer: 3*(w - 491)**2*(w - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, h: 2, l: 4, q: 1, z: 3}. Give prob of sequence lzol.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75 - -183. Solve -89 + 140*c**3 + 199 - 52*c**4 - 94 - u*c**2 + 4*c = 0.\nAnswer: -4\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i*o**2 + 4*i*o*r + 2*i*o + 42*o**2*r + 8*o**2 + 7*o*r - 6*o wrt o?\nAnswer: 4*i + 84*r + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.1 - -1.1. Let q = h - -6. What is the closest to -1 in q, -1, -1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 546*y + 5460. Let j be v(-10). Solve j = -p + 20 - 26 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*0.42\nAnswer: 0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/7*(-168)\/(-24). Suppose w*i - 11*i = -357. What is the remainder when 63 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 40*l**2 - 328*l + 99. Determine w(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 37543749 or 37543750?\nAnswer: 37543750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -2*b**5 + 3*b**4\/2 + 4*b**3\/3 - 3. Factor a(p).\nAnswer: -2*p**2*(p - 1)*(5*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 6*m**3 + 2*m - 2. Let r be k(1). Suppose -r*v = -3*v + 9. Let n(j) = -j**2 - j + 4. What is n(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**2\/2 + 25*s\/2 - 75 = 0.\nAnswer: 10, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**4 - 2570*l**3 - 864266*l**2 - 24700038*l - 102213540 = 0. Calculate l.\nAnswer: -627, -26, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zk when two letters picked without replacement from {z: 17, k: 3}.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3 + sqrt(13))**2 - (sqrt(1300) + -2 - sqrt(13)).\nAnswer: -11*sqrt(13) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1108633383?\nAnswer: 3, 11, 13, 53, 16253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/40)\/((-20)\/(-20))*-126.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - 2*sqrt(153))*-6)\/(sqrt(9) + (sqrt(45)\/sqrt(80) - sqrt(9))) - (sqrt(1377) + ((sqrt(1377) + 0)*-1 - sqrt(1377)) + 3)**2.\nAnswer: -1386 + 78*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 925 and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 880*d**2 + 319*d + 209. Is s(-42) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41.72694 + -0.73994. Let u = -41 + v. Let t = u + 0.043. Which is the nearest to 2\/5? (a) t (b) -2 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 5*n**2 - 2*n + 11. What is o(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -2.6633?\nAnswer: 2.7633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 13*u**2 + 122*u - 1581. Calculate p(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1128, -4490, -13482, -30918, -59612, -102378?\nAnswer: -162030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oj when two letters picked without replacement from {w: 1, o: 2, j: 7, t: 4}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wjllwwjwwalaa. Give prob of sequence lja.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -3. Let v = 200.31 - -3.69. Let l = v - 204.1. What is the closest to 1 in 3, l, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x = 15*x + 66. Suppose -3*h + 88890 = -3*q, -3*q - 7 + x = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 2*j**5\/5 - 7*j**3 - 54*j + 56. Differentiate s(k) with respect to k.\nAnswer: 8*k**3 - 42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - v + 3. Suppose -y + 4*g = 9, 3*y + 2*g = 3*g + 6. Let f be h(y). Solve 0 = -4*s - 7 - f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 18 = -2*r. Suppose -8009995 = -r*a + w - 0*w, -5 = -w. What is a rounded to the nearest 100000?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*i - 475 = -125*i. What is the second smallest value in 2, -2\/367, i, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3172822 or 3172821?\nAnswer: 3172822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 2408 + 2051. Solve -4 = -m*o + 49*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*n = -60. Let u = n + -239\/4. Do u and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 + -10 + -74 + 182?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101 + -1101001110001010111000?\nAnswer: -1101001110001011101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2632*d**3*u**2 - 537*d**3 + 3*d**2*u + 2*u wrt u.\nAnswer: -5264*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 greater than -2019\/388?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/18 and 6\/(-4)*-14*(-3)\/(-48)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 204243366 by -6.\nAnswer: -34040561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24366 is divided by 136.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 9*m - 2. Let k be h(-10). Let t(p) = -2*p**2 + 19*p - 4. What are the prime factors of t(k)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 9:37 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -3, 27*m + 9 = 12*m + 13*m - 3*q + 39 + 9 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 96408 rounded to the nearest 1000?\nAnswer: 96000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 78 in -4, -0.5, -363?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 + 56 + 34*s.\nAnswer: 34*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147)*-4 + sqrt(147))*-2 - -4*((sqrt(147) - (sqrt(147) + 2*sqrt(147) + sqrt(147))) + sqrt(147) + sqrt(147))**2) + -4*(3*sqrt(147)*-1 + -3)**2.\nAnswer: -4740 - 462*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-80)\/(-15))\/2)\/((2\/3)\/1). Solve x + 19 = -t*j + 27, 4*x - 20 = -4*j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 7 + 2*p - 2*p + 4*p - 5*p. What is the units digit of x(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -4*y + 267. Let j(d) = -16*d**2 - 6*d. Let g(b) = 225*b**2 + 85*b. Give y*j(f) + 6*g(f).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/(-6))\/6)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 125481156.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52002 and 37557?\nAnswer: 676026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**2\/7 - 437168*n\/7 - 23889482528\/7 = 0. Calculate n.\nAnswer: -109292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 398 divide 39299612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -29728341.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21754281 and 186.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/((-128)\/(-126) + -1) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -6*i + 173. Determine k(5).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.688 + 1.188. Let p = -4 - -7\/2. What is the biggest value in -0.3, p, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 6*f + 1. Let x be n(6). Let v(y) = -6*y + 236. Let d be v(39). Calculate the greatest common factor of d and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/10)\/(-2*(-2)\/(-8))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/9)\/(91\/((-31941)\/(-390))).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25978*a - 11*a**3 + 25978*a.\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/1783100 and 15\/35662.\nAnswer: 1783100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.1432*-174\nAnswer: -24.9168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (10*(-12)\/40)\/((17\/(-6))\/((-13)\/(-117)))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-6*sqrt(30)\/sqrt(3)*3)\/(sqrt(12)\/(sqrt(384) + (sqrt(384)*1 - sqrt(384)))))**2.\nAnswer: 288*sqrt(5) + 103681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 7 + 3 = -2*a, 4*m = 4*a - 16. Let i(g) = -g**3 + 5*g**2 - 4*g - 1. Determine i(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*g = -5*y + 350, y - g - 66 = 0. Factor 4*w**4 - 8*w**4 + y*w - 156*w**2 + 112*w + 44*w**3.\nAnswer: -4*w*(w - 5)*(w - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 108483\/34420 - 3\/1721. What is the common denominator of m and 91\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-5)\/((-1)\/2*2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 817 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -1113339*f - 51570. Let o(s) = 1727*s + 80. Determine 8*c(z) + 5157*o(z).\nAnswer: -573*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3*((sqrt(612) + 1)*-4 + -2))**2 + 1.\nAnswer: -530711 - 15552*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 13*a**4\/12 - 13*a**3\/6 + 9*a**2. What is the derivative of g(m) wrt m?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22.37 - 7.63. Is 4\/7 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w = k + 1133, 0 = 5*w. Let d = 2175 + k. What is d rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26276364 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 8 - 2. Let o = 25\/9 + v. Which is the second smallest value? (a) o (b) 0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (264 - 253) + (-2 - (-1 + 1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -6 (b) -3 (c) 2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(31\/(-465)*(-45)\/6)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 313865017 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: What is the least common multiple of 198230 and 4610?\nAnswer: 198230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*k + 289 - 23 - 24 = 0 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27660 and 8298.\nAnswer: 82980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 591 is divided by 589?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (293 - 293 + 58*f)*(2*f**4 + 2*f**4 + 13*f**2 - 3*f**4).\nAnswer: 58*f**5 + 754*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -208 - -207. Is r less than 79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -8*v - 2*q + 20, 3*q - 10 = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/(-8))\/(111\/3404) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.22? (a) -0.1 (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yjyj when four letters picked without replacement from {y: 3, i: 3, j: 10, b: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -5*g**7\/21 - g**3\/6 - 3*g - 6. Let v(i) be the first derivative of k(i). What is the second derivative of v(t) wrt t?\nAnswer: -200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 3*i - 1. Let g be d(-4). Let o(k) = 4 + 0*k**2 - k**2 - 1 - 2*k. Let t be o(-3). Solve g*m - 2*l = l, t = m + 4*l - 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 12:25 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sig when three letters picked without replacement from hizigihzghhghhzizsgh?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2937 is divided by 37.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24900 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8 - -4) + -1 + 10 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3c + -17b090?\nAnswer: -17b051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 0 = 2*z + 2*y, 0 = -3*z + 2*y + 13. Let x = 1 - -1. Let h(d) = 4*d**2 + 4 + 0 - z*d**2 - x*d. Determine h(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-3))**(-6))**(15\/4))**(-12\/19) assuming n is positive.\nAnswer: n**(-810\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -19*i + 2. Let a(v) = 57*v - 5. Calculate 3*a(b) + 8*m(b).\nAnswer: 19*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-222)\/(-9)*(-102)\/(-4). Suppose 842 = 5*c - 2*y, -130 = 3*c + 5*y - s. Let n = 32 + -11. What is the greatest common divisor of n and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14214)\/(-33166) + (-778)\/(-14)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 45 = 4*w. Let q be 85\/w + (-2)\/(-6). Suppose -3*g = y - 84, 2*g = -5*y + q*g + 496. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s. Let j(q) = 380 - 765 + 39*q + 385. Determine d(j(g)).\nAnswer: 39*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5.45, -0.3, -2\/7 in ascending order.\nAnswer: -0.3, -2\/7, 5.45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5855 - 128769\/22. Let g be 4\/3*(-996 - 3). Let m = 10633\/8 + g. What is the common denominator of m and t?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4 + 14*c**3 - 26*c**2 - 6*c + 36.\nAnswer: -2*(c - 3)**2*(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -124 - -148. Let u be 20\/r + -1 - 3782\/(-12). Let s = 394 + u. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*x + 4*b + 11, -x - b - 1 = 0. What is the second derivative of 0*t**2 + t**2 - 2*t - 2*t**x wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -186 + -1845?\nAnswer: -2031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59 + 228. List the prime factors of (2 - (3 + 1)) + d.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -700 = 2*m - 6*m. Let u be ((-63)\/m)\/(12\/(-20)). What is g in -3\/5*g**2 - u*g - 1\/5*g**3 - 1\/5 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) - (sqrt(704) + 0 + sqrt(704))) + sqrt(55)\/(sqrt(25)\/sqrt(5)))**2.\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 2:07 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-257*x + 1553463 - 289*x - 1553463)*(26 + 18 + 7)*(2 - 5 + 1) as z + s*x and give s.\nAnswer: 55692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**6\/o)\/o**(-2))\/((o*((o\/((o**0\/o)\/o)*o)\/o)\/o)\/(o*o**(2\/5)*o)) assuming o is positive.\nAnswer: o**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130817461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (1729*t + 0 - 11 - 1765*t)*(18 - 16 - 11) as f*t + y and give y.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1308399321 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1528 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -1. Let i = -899 + 909.13. Let q = i + -12.13. Which is the closest to 1\/3? (a) g (b) -10 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 113243 + -113242.99951067. What is z rounded to 6 dps?\nAnswer: 0.000489","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t + 7. Let g be k(-5). Suppose -i + 15 = 4*p + g*i, p = -4*i + 7. Let m = 13 - p. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.6214 less than -353?\nAnswer: -279.3786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 5, x: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (110\/(-4))\/(4\/8). Let j = 114 - o. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/21 - (-51)\/7. Let p(x) = -x**3 + 7*x**2. Let t be p(n). Suppose t = q - 2*q + 8. Solve 0 = 4*b + q for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 1:15 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a tonne in kilograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.6659995 rounded to one dp?\nAnswer: 56.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**40\/((g**(-2\/19)*g)\/(g**(-3)\/g)) assuming g is positive.\nAnswer: g**(-853\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2644220.\nAnswer: 2, 5, 29, 47, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 136, 271, 404, 535, 664, 791, 916?\n\"Answer: -z**2 + 138*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvtcttctctvmct. What is prob of sequence vt?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/(-6)*486\/(-12). Let a = 315\/8 + -567\/8. Calculate the common denominator of a and 2\/5 + (1356\/g)\/(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s = 17*s - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8650716 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12684?\nAnswer: 2, 3, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -836.657 - -837. Let m = 0.261 + j. What is m rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-2) + (-5)\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 284\/276)\/(10 + 700\/(-30) - -13)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 9) to base 12.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -287, 0, 88, 2 in decreasing order.\nAnswer: 88, 2, 0, -1, -3, -287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f - 2 + f**2 - f**2 - 2*f**2 - f**3. Does 9 divide y(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of f**6\/360 + f**5\/30 + f**4\/4 - 2*f**3\/3 - 2. Let c(o) be the third derivative of i(o). What is c(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 4)*(-7*i + 16*i + 17*i)*(1 - 1 + 2)*(7 + 13 + 1)*(2 - 2 + 1) to the form v*i + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -56061*a**2 - 44*a - 7608527 wrt a?\nAnswer: -112122*a - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -134 - -166?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.993354 centuries in months?\nAnswer: 1192.0248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 - ((-376)\/22)\/((-73)\/((-1679)\/(-46)))\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 68285 + 10690 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 15*f - 14. Let p(z) = -z**3 + 8*z**2 + 11*z - 11. Let l be p(9). Is d(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, b: 4, l: 6, m: 2, y: 2, n: 1}. What is prob of sequence nvv?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a century in decades?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o**2 + 0*o**2 + 2*o**2)*(-o - 4*o + o) + 4*o**3 + o**3 - o**3 + (o - o - 2*o**2)*(-2*o + 2*o - o) in the form y*o**3 + p + w*o + a*o**2 and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 127 - -85?\nAnswer: 1ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*m - 2496, -8*m = -12*m - 2*c + 1998. Solve -495 + m = -5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 11 = -2. Let y = 1 + i. Suppose 0 = -4*g + 5*n + 80, 0*g + g + 1 = -y*n. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/12 and 579*(-7085)\/293070 + 14.\nAnswer: 117228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 15508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -33*i**2 - i. Let o be r(-6). What are the prime factors of o\/(-15) - 6\/(-30)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -727563885 by 145512777.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*i + 4. Let d = 3 + i. Let g = d - -1. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -9*d**2 + 85*d. Let o(z) = -4*z**2 + 42*z. Suppose 3*b + 2528 = -c + 2509, 4*c - 3*b - 29 = 0. Give c*x(g) - 5*o(g).\nAnswer: 2*g**2 - 40*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-2 - -3) - (15 + -16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t + 117 - 590*t**2 + 4*t + 2*t.\nAnswer: -590*t**2 + 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vwpwwwwpwvvwvwvwv. Give prob of sequence pwwv.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u\/u**(-6))\/u)*u)\/(u*(u*u**(9\/4)*u*u*u)\/u))**(-23) assuming u is positive.\nAnswer: u**(943\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2349710 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 11545.2142 to the nearest 10.\nAnswer: 11550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176868817?\nAnswer: 4297, 41161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qoduqdhoz. What is prob of picking 2 q?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-130)\/(-10) - 52\/4. Let s(u) be the third derivative of z*u + 5\/78*u**4 + 1\/390*u**5 + 14*u**2 + 0 + 25\/39*u**3. Factor s(b).\nAnswer: 2*(b + 5)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 949367*a*o**2 - 20*a*o + 14346089*a*z - 5*o**3*z + 2*o**3 + 5*o**2*z wrt z?\nAnswer: 14346089*a - 5*o**3 + 5*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0*y - 320 = -2*h, -600 = -4*h + 4*y. Let u be -2 - 2 - -1 - h\/(-55). Which is the biggest value? (a) 0.1 (b) 7.7 (c) u (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2781518022?\nAnswer: 2, 3, 131, 393203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d + 12*d + 38 + 37 - 75.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1218 - 1044. Calculate the lowest common multiple of 11 and c.\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -282, -288, -294, -300?\nAnswer: -306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/14 in 0.1, -5, -3, 1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 269*w + 26814. Calculate f(-101).\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23504773 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/72)\/(12\/(-36)*4)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 + 27. Suppose 4*k + 5*g + 4 - 14 = 0, -4*k + 2*g - 4 = 0. What is the nearest to k in 5, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, z: 3}. Give prob of picking 4 i.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -87, -171, -255, -339, -423, -507?\n\"Answer: -84*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3661966 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*j - 4 = j, 3*w - 16 = 5*j. What is the highest common divisor of w and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 7*a**3\/5 - 26*a**2\/5 + 13*a\/5 + 6\/5 = 0.\nAnswer: -2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -163 (b) 0.4 (c) 19.69 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -228844*n**3 - 530895*n wrt n?\nAnswer: -1373064*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 3754317430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -14*q**2 + 6*q + 8. Let i(t) = -t - 1. Let o(k) = -2*i(k) - r(k). Let w = -16 - -13. Is o(w) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57)\/3*234\/(-171).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/105, -2, -0.032, -4 in descending order.\nAnswer: 2\/105, -0.032, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07705 * 0.1.\nAnswer: -0.007705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + v + 30 = 0. Suppose 2*n + 3*n = -2*r + 9, -4*n + 15 = -r. Calculate the least common multiple of v and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i*(i**26*i)\/i*i))\/(i\/(i*(i**(-30)\/i)\/i)))\/((i\/(i\/i**(-2\/13)))\/i**(-7\/2)) assuming i is positive.\nAnswer: i**(-1595\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -604 - -573. Is -5 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (228\/21)\/(62\/217)*15\/(-10)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 36\/227 (b) 0 (c) 0.3 (d) 4\/55 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 651 divided by -217\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 0, -53, -138, -261?\nAnswer: -428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, r: 5}. Give prob of picking 2 r and 2 h.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -19 (b) -2 (c) 1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 198470866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-460)\/(-2880) - (-9)\/((-486)\/12). Sort b, 1\/4, -152.\nAnswer: -152, b, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82637564 to the power of 1\/2, to the nearest integer?\nAnswer: 9091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o - 10. Let r be q(-6). Suppose 2*b - r*m = 7*b, 5*m = 3*b. Solve -5*i + 22 = 3*w - 5, b = 2*i + 5*w - 26 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7080 - 4108. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + 15 + 15 - 34*g - 45 to the form n + y*g and give y.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**2*n**3 - h**2*n - h**2 - 4039*h*n**2 + 7*h*n - 219243*n**3 - 2*n**2 wrt n.\nAnswer: 6*h**2 - 1315458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = -214 - 523. Let b be (51\/(-12))\/(-17) - v\/4. Calculate the highest common divisor of 102 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, q: 1, i: 4, o: 1, e: 1}. Give prob of picking 1 i and 2 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, m: 2}. What is prob of sequence ggm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 242435696 to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 3 = 3*r. Let j(a) = -a - 3. Let u be j(-6). Suppose r*f - 5*w = 90 + 29, -u*f + 92 = -w. Solve 0*m + 32 = 4*m - 4*h, -f = -5*m + 2*h for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n, 0 = 3*r - 2*n - 0*n - 15. Let z = -1 + 1. Suppose 2*i - i + 4 = 5*c, 4*i - 2*c = 2. Sort i, z, r in ascending order.\nAnswer: z, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 3:55 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrraraihaai. What is prob of sequence ihi?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 30*i*q*x - 25*i*q - 10*i*x**2 + q*x**2 + 23*x**2 - 7*x - 2 wrt q?\nAnswer: 30*i*x - 25*i + x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/12 and -43\/276.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, l: 17}. Give prob of picking 2 l.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*r - 3*r - 55, -3*f + 2*r + 178 = 0. What is the least common multiple of 36 and f?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -403 (base 5) to base 14\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6)*((-32)\/(-14))\/(((-26544)\/(-882))\/(-158)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -17*j**2 - 562*j - 66. Give y(-33).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47.83 + 48.83. Let h = 0.1 + -0.2. Let s = h - 0. Which is the closest to s? (a) 1\/2 (b) -0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 5*q - q)*(-2 + 4 - 3)*(-5*q + 4*q - q + (q + 0*q + 0*q)*(1 - 3 + 0)).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 + -1 + 412\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*a + 100, 5*g - 28 = a - 244. Does 15 divide (-5 - 8880\/g) + 4\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-94045385\nAnswer: -282136155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10601275 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 20 (b) 3 (c) -85 (d) 7\/6 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/50 or 0?\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10953.42 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l - 415 + 40 = 36*l for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/(m*m\/(m*m**(-30)*m)*m)*m))\/m*m)\/m*m**(-10\/3))\/(m**20*m**(2\/57)) assuming m is positive.\nAnswer: m**(107\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 89320 and 63800?\nAnswer: 446600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 379728 and 240.\nAnswer: 1898640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.036, -80985 in increasing order.\nAnswer: -80985, -3, 0.036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1690884 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1325, 5300, 11927, 21206, 33137, 47720, 64955?\n\"Answer: 1326*g**2 - 3*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3477 and 2223?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.56 + 1.56. What is the fourth biggest value in -0.1, -2\/3, t, -2\/17?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(52) - (sqrt(13) + sqrt(13) + (sqrt(468) - (-2*sqrt(468) + sqrt(468))**2)) - (sqrt(156) - (sqrt(156) + sqrt(156)*2*-6))\/sqrt(12).\nAnswer: -18*sqrt(13) + 471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 167013 (c) 0 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 8. Solve -l*x = 2*h + 10, -4*h + 1 = -3*x - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30804\/1405 less than or equal to -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -396 = 59*f - 63*f. Calculate the greatest common factor of f and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -4 + 2 + 7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.104, -152, 8, 9, 4\/5, 0.1, -3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 7:15 AM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 126 by 42.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*c = -20*c - 38. Calculate the greatest common factor of c and 589.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 27069228 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-46917)\/2807)\/(45\/210)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 1:17 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w - 160. Let n be t(32). Suppose 7*h - 47 = -12. Let j be (10\/h + -12)\/(-2). Solve -j*c + 7 - 22 = n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-5)*(-326 - 0). Let r = 326 - w. Solve -3*h - 4 = i, 2*i = -r*h + 2*h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12586535 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: Round 0.00042299241 to five dps.\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0*c**3 - 64*c**2 + 63*c**2 - 2*c + 1102*c**4 + 23*c**3 - 1094*c**4 as n*c**2 + g + v*c + d*c**3 + r*c**4 and give d.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -14. Is (0 + b)\/((-8)\/(-28)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rgguuh. Give prob of picking 1 u, 2 g, and 1 h.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - 52. Let g = 58.06 + l. Which is the second biggest value? (a) -0.03 (b) g (c) 0.4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157362180 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*v + 8. What is the remainder when (-3)\/(3 + 180\/(-57)) is divided by 14 + v\/((-8)\/4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 108?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2158*m**3 + 1085*m**3 + 1083*m**3.\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -402259442*d - 482542821?\nAnswer: -402259442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/497 and 48\/923?\nAnswer: 6461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3976244 + -0.1086408?\nAnswer: 3976243.8913592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2802.864 litres?\nAnswer: 2802864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 821246780.\nAnswer: 2, 5, 3709, 11071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**3 + 7*l**2 - 6*l + 10. Suppose -16*o + 13*o - 87 = -32*o. Calculate j(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 305*l - 9. Let u(i) = -153*i + 4. Give 7*u(a) + 3*v(a).\nAnswer: -156*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (973 + 1073 - 20523*h - 2046)*(-4*h + 6*h + 0*h + (4 - 5 + 3)*(h - 3*h + 3*h)) to v*h + j*h**2 + z and give j.\nAnswer: -82092","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + u + 370. Let b be i(0). Suppose -6*o + o + b = 0. Calculate the remainder when o is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (4 + -12) - (-27 + 30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 27 = 2*q - 13, -3*w = -23*q - 32 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 250 - 255. List the prime factors of 4\/(-14) + (34326\/42 - p).\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 729455 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -3*m + 7*s + 16, -4*m + 5*s + 33 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 12*k - 7. Let p be g(1). Suppose 0 = -9*v - p*v + 280. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*k**2 + 1\/5*k**3 - 1\/5*k - 1\/5.\nAnswer: (k - 1)*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 237*t**2 - 30*t - 64. Let s(f) = 158*f**2 - 19*f - 42. Let g(q) = -5*a(q) + 8*s(q). Is g(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 39*z + 1. Let a(x) be the third derivative of 0 - 24*x**2 + 0*x + 0*x**3 + 1\/12*x**4. Calculate a(l(u)).\nAnswer: 78*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(8\/3)*h)**43 assuming h is positive.\nAnswer: h**(473\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 146*x + 1. Let g(m) = -31*m**2. Calculate g(h(l)).\nAnswer: -660796*l**2 - 9052*l - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 - -2.98. Let d = -0.3 - -0.2. Which is the second smallest value? (a) d (b) t (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 + 0*m**4 + 3*m**4 - 5*m**4)*(-4 - 7 + 3) + 0*m + 0*m - 2*m**4 + (-127 - 11*m + 127)*(-19*m + 19*m + 3*m**3).\nAnswer: -19*m**4 - 16*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -7)*(-57)\/1881. Determine f so that i*f**2 - 2\/11 + 2\/11*f - 2\/11*f**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 904508.2 tonnes in kilograms?\nAnswer: 904508200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d25a4 - 3?\nAnswer: d25a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30041)\/(-14)*(-35)\/60*-2. Let b = 2510 - g. Find the common denominator of 133\/120 and b.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4921868327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -49, -13, -1, 18 in ascending order.\nAnswer: -49, -13, -1, 3\/5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -343*y**2 - 9*y - 8 - 2*y + 344*y**2 + 5. Give d(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -536393 divided by 4433.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (3 - 33) + 12945 + -12972?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = i + 30. Let o = -10 - -25. Find the third derivative of -o*b**3 + 6*b**2 + 5*b**2 + i*b**2 wrt b.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 894625 + -23946. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1222 (base 5) in base 4?\nAnswer: 2323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 5. Let z = -253\/4 - -64. What is the nearest to -1 in s, 2\/5, z?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q - 357*q**2 + 377*q**2 + q)*(1 + 1 - 6) as w + b*q + h*q**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2679.973 + -2954.4713. Let n = l - 0.1017. Round n to the nearest ten.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a + 0*a + 5*a**2)*(0*a + a + 2*a) - 3*a**3 - 5*a**3 + 0*a**3 in the form l*a + c*a**2 + q + i*a**3 and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 14*d**2 - 4*d**3 + 3*d**3 + 1 - 15*d + 11 - 12*d. Let k be p(11). Suppose k = -23*q + 25*q. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 8:58 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 48666?\nAnswer: 48668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6546392 + 0.57463562. Let l = 22.92 + -23. Let p = f - l. Round p to 7 dps.\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/161*231\/2145*20\/6?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*l)*(-11 + 1305 + 920) + (-2*l - l + 6*l)*(-3 + 2 + 3).\nAnswer: -4422*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6486275?\nAnswer: 5, 259451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 482313773 to the nearest integer?\nAnswer: 21962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 1 = -3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2065437*k**5 + 685237*k wrt k.\nAnswer: 41308740*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of g**2\/2 - 6*g - 3. Let s be c(6). Solve 5*f - 4 = -3*m + 4, -3*m + f - 16 = s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -213223020 (base 4) in base 7?\nAnswer: -1244526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 3*s + 162, -27*o - s = -29*o + 108. What is the remainder when 81 is divided by o?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j + 2 + j**4 - 2*j**3 + 0*j**4 + 3*j**2 + 0*j**4 - 2*j to the form r*j**3 + t*j + c*j**2 + k + w*j**4 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 670 (base 8) to base 7.\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*r - 107 = -163 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1099 divide 13356147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93c3d8 (base 14) to base 3.\nAnswer: 100101111010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - b = -3*b + 28, x = -b + 7. What is the hundreds digit of 217*(-3)\/(-3) + x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -0.4 (c) -11.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.1071t in micrograms?\nAnswer: 86107100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22126069 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 the thousands digit of 2335?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10020100 (base 3) to base 11\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 7:59 PM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h**2 + h**2 + h**2)*(6527 + 2758 + 4925 - 3170) as i*h**2 + f + r*h and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52305430.77778069652 + -8887.57777453652. Let i = 52296523.2 - t. Let g = i - -20. What is g rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 20\/3*f**2 - 2\/3*f**3 - 22*f = 0. What is f?\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 176372 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 0.3, -4, 318, -3, -6\/5 in descending order.\nAnswer: 318, 0.3, -6\/5, -3, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 30*f - 24. Let h be g(29). Which is the nearest to -0.1? (a) -0.06 (b) 0.3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -202.\nAnswer: -3\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - -0.1. Which is the third biggest value? (a) q (b) -0.3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*n - 10. Let h be 2\/n*240\/10. What is the greatest common factor of 18 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1 (b) 0.1 (c) -3 (d) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by -248592.\nAnswer: 7\/62148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 8. Suppose 0*d = d - q. Suppose -5*f + 57 = 3*z, -z + d*z + 62 = 5*f. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1, -222.55.\nAnswer: -222.55, -1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4145.8191 + 4146. Round p to three decimal places.\nAnswer: 0.181","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 829 is divided by 45.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/(-768)*4*-26 and -47\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*u = -3*f - 1, 3*f - u - 7 = 0. Suppose 11*j - 14*j = f. Sort 2, -3, j in ascending order.\nAnswer: -3, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 11. Let a be (-9)\/21 - (-48)\/14. Suppose -9 - a = -s + 5*f, 0 = 2*s + 2*f - 72. Calculate the highest common factor of k and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -28 (c) 4 (d) -3 (e) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 33*a + 3. Suppose -24 = -32*m + 30*m. Let i be s(m). What is the units digit of 9\/(-6) + i\/14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*t - 929322, 2*t - 2*g - 464665 = -5*g. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 + (129 - 196 - 20)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by 6272.\nAnswer: 15\/3136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + 1)*-6 + (5 + sqrt(98) + 0 + sqrt(98))**2 + -3*(1 + sqrt(98))**2 + 1 + sqrt(98) + (sqrt(98)*2)**2)*4.\nAnswer: 252*sqrt(2) + 2028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -19*h**5\/20 + h**4\/12 - h**3\/6 - h**2\/2 + 19*h. Let b be c(-1). Solve k = -4*k - b for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 103279, -188, 5 in increasing order.\nAnswer: -188, -2, 5, 103279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21461284 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g - 1584 = 29*g. Let h = 182 + g. Does 2 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004017955 rounded to 5 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, 354, 3, -1 in descending order.\nAnswer: 354, 6, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 277, -1847 in decreasing order.\nAnswer: 277, 2, -1847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 188 divided by -4\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**36)\/(y*y\/y**(-29)*y*y*y)*y**(2\/51)\/(y*y**(11\/2)\/y*y) assuming y is positive.\nAnswer: y**(-7697\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3768108661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 0 - (9 + -5 + -3)) + -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p = -109*p + 306 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 424112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/30, -106, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20122939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p - 28. Calculate m(-18).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 11*z**2 + z - 9. Let n be m(11). Let g(d) = d - 5. Let h(c) = -c + 5. Let w(t) = n*g(t) + 3*h(t). What is w(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = k + 1. Let y = k + 4. What is the units digit of 7 - (2 - (-6)\/y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 1. Let i(b) = -5*b - 6. Suppose 4*k + 0 - 12 = 0, -x - 2*k = 0. Let g = 150 - 151. What is g*i(l) + x*m(l)?\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10939975*t - 14186560 wrt t.\nAnswer: -10939975","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 10:23 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -0.7, -1, -1\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 58*b**2*w**3 - 88246*b**2*w + b*w**2 + 378*b*w - 377*w**3 - w**2 + 4*w + 2 wrt b?\nAnswer: 116*w**3 - 176492*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 2633360256?\nAnswer: -2633360261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 9*r - 80. Let n be i(-6). Let x(w) = w**3 - 42*w + 20. Is 40 a factor of x(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d. Let w(x) = 20891224*x. Give w(a(q)).\nAnswer: 20891224*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -27?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 87211?\nAnswer: 87215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60 + 104.5. Let v = -44 + n. Let i be (8\/(-10))\/((-1)\/5). Which is the second biggest value? (a) v (b) i (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, c: 5, k: 1, p: 1}. Give prob of sequence lclk.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18276 to the power of 1\/2, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -302321021?\nAnswer: -302321031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9 - (-189500)\/16)*8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110000001000 - 1?\nAnswer: 10110000000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 232034373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3700 = 5*g - 5*d, -2*g + 1480 = -3*d + 5*d. What are the prime factors of g?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -225?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -171026, -171028, -171032, -171038?\n\"Answer: -g**2 + g - 171026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s**2 - 7*s - 3. Let x be d(-11). What is x rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -468, -967, -1466?\nAnswer: -1965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/((-6)\/(-24))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 5*v - 21, 5*v - 4*m + m = 31. Suppose -v*b + 360 = -0*b. Calculate the greatest common factor of b and 648.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 - 2*k + 1. Let q(m) = -m**3 - 14*m**2 - 14*m - 12. Let x be q(-13). Let y be h(x). Solve 2*s = s - y for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 373*u - 106369 - 45847 = -17190. Solve 9*h = -389 + u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34554 - 31?\nAnswer: 34523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 - 18. What is l rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3598690 rounded to the nearest 10000?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -f - 11. Suppose -2*a = -3 - f. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(2*1\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -y + 16. Let x = y - 83. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/5785 and -53\/650.\nAnswer: 57850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 39374115 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**13)\/((d\/d**(-6\/13))\/d))\/(d**7\/d**(-2\/7)) assuming d is positive.\nAnswer: d**(-1797\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 866516, 866508, 866494, 866474, 866448, 866416?\nAnswer: 866378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*g**4*p**2 + 6*g**4 + 52*g**2*p**2 - g**2 wrt g?\nAnswer: 216*g*p**2 + 144*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 80, 70, 58, 44, 28?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 788926012*c. Let z(h) = h. Give z(p(r)).\nAnswer: 788926012*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {t: 5, l: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 112069 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a**2 - 6*a. Let j(p) = -p**2 + p - 34. Let x(s) = -s + 15. Let u(c) = 4*j(c) + 9*x(c). Give -5*t(g) + 6*u(g).\nAnswer: g**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.8906 - 0.4357. Round q to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98068 (base 11) to base 12\nAnswer: -6a563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5 = -21. Suppose -n*i = -q + 4*q - 59, 3*i + 4*q = 39. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 15 - (0 + -36)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t - 25*t**3 - 3*t + 744*t**2 + 8*t**3 + 12*t**3 + 6*t**3 as u*t**3 + f*t + w*t**2 + n and give w.\nAnswer: 744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*h**2 - h**3 + 5*h**2)*(1 - 1 - 3) + (83*h**2 - 85*h + 85*h)*(0*h + 3*h + h) to the form o*h**2 + m + d*h**3 + b*h and give d.\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 169*m**2. Let o(r) = 4*r + 80. Let x(u) = u + 8. Let t(j) = o(j) - 10*x(j). What is l(t(d))?\nAnswer: 6084*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/4 and (1\/3)\/((-150)\/74 - -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 106*o + 837. Let t be j(-8). Put -12, t, -3 in descending order.\nAnswer: -3, t, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 4*r = 90. Suppose -4*i + 99 = -r. Let k = -14 + i. Calculate the greatest common divisor of 2 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgq when three letters picked without replacement from gagggqqgqgq.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11830411 + 17380411. Round s to the nearest one hundred thousand.\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4*o = -2095958, 5*y - 3*o = 7226696 - 1986853. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {t: 2, i: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 0\/4 + 8 + 0 and 1*5 + -25 + 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.017 and 0.2?\nAnswer: 0.217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/276773 and 113\/42.\nAnswer: 1660638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -92 - -184. Suppose -2*w = 2*w + o. Let h be (-3)\/(-5) + w\/55. Which is the third biggest value? (a) 5 (b) h (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -59. Suppose 2*s - c - 181 - 184 = 0, s + 3*c - 165 = 0. What is the remainder when o is divided by 1 - 1 - s\/(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/27 - ((-3467)\/9 - 2).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 570 by 3.\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 893 a factor of 2857364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*d**2 + 0)*(-3*d**2 - 2*d + 2*d) - 4 + 4 - 2*d**4.\nAnswer: -11*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 3*f**2 + 914*f - 13127. Calculate p(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 2*4\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22211000 (base 3) in base 13?\nAnswer: -2c04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-67 + 55)\/(405\/(-9))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = r - 0. Let m(i) = 2*i + 15. Let g be m(r). Suppose g*w = 1599 + 631. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 - 63275\/(-1375) - 2\/(-11)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42? (a) -3 (b) -1.4 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 16*a - 62. Let c be v(9). Solve -2*d + 6*d + 3*q + c = 0, -22 = -5*d + 4*q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 273 + -215. Differentiate -31 - 88 + s*h + 21 with respect to h.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5 + (sqrt(1872) - 6*(sqrt(1872) + 3)) + sqrt(1872) + sqrt(1872)*-2 + -5 + 0))**2.\nAnswer: 41472*sqrt(13) + 1083456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*n - 23*n**3 - 26*n.\nAnswer: -23*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(2) + 0 - ((sqrt(21) - sqrt(336))\/sqrt(7))**2)*-4.\nAnswer: -4*sqrt(3) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-192)\/(-168)*(-9 + 2). Let d(v) = -85*v**2 + 8. Let z(r) = -28*r**2 + 3. Give u*z(b) + 3*d(b).\nAnswer: -31*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-6*(sqrt(275) + 3*(sqrt(275) - (sqrt(275) + 2))**2).\nAnswer: 216 + 90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10378030?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 40*y**2 - y - 1. What are the prime factors of u(2)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5 = -30, -o = -5*n + 5. Calculate the lowest common multiple of n and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -864, -1963, -3772, -6297, -9544, -13519, -18228?\n\"Answer: -m**3 - 349*m**2 - 45*m - 469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/2 + 336*f**2 + 1352*f.\nAnswer: -f*(f - 676)*(f + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 12\/11, 70\/827, -3, 1?\nAnswer: 70\/827","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5366761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0, -25, -1\/4, -1\/3, -0.5 in ascending order.\nAnswer: -25, -0.5, -1\/3, -1\/4, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**5\/4 - x**4\/6 + x**3\/2 - 7*x**2\/2 + 21*x. What are the prime factors of u(3)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 37?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p**3 - 12*p - 8*p**3 + 3*p**3.\nAnswer: p**3 - 12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2*3*sqrt(98))\/sqrt(2))\/(-2*(sqrt(7) - sqrt(49)\/(2*sqrt(7)))).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 129. Let t be (-2)\/(-6) - 390\/o. Is t at most 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66006057857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -20, -50, -94, -152, -224?\nAnswer: -310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 234, 541, 982, 1563, 2290, 3169?\nAnswer: 4206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2945951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 3*m = -1, -3*m + 8*m + 15 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 1:52 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -23534 (base 6) to base 8\nAnswer: -6562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 200?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + f**2 + f - 6. Determine z(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1124, -1346, -1616, -1910, -2204?\nAnswer: -2474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14417756 divided by -17?\nAnswer: -14417756\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31.3*-4.\nAnswer: -125.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -242896483 and -681.\nAnswer: -242897164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 82, 121, 158, 193, 226?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 14*g**2 - 2*g - 2. Give a(-14).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*c**2 - 6*c**2 - 5*c**2 + (2*c + 2*c - 2*c)*(5 - 5 + 6*c) in the form m*c + x*c**2 + t and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-1*(-2 + sqrt(11) + -2 - sqrt(11)))**2 - ((sqrt(110) - -1*sqrt(110))\/sqrt(10) + 1)).\nAnswer: -45 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -25*i**3 + 3*i**2 - 8*i + 6. Let q(a) = -24*a**3 + 3*a**2 - 7*a + 5. Calculate -6*q(c) + 5*r(c).\nAnswer: 19*c**3 - 3*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -32340, -129339, -291006, -517341, -808344, -1164015?\n\"Answer: -32334*h**2 + 3*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 68897745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 9*a**2 - a - 2. Let m = -168 + 170. Suppose -3*b = 4*n + 26, 1 + 33 = -5*b - m*n. Let l(i) = 19*i**2 - 2*i - 4. Give b*l(h) + 13*u(h).\nAnswer: 3*h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -211 (base 3) to base 11\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 691693?\nAnswer: 691693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*n + 3754 = -n - 31076. What is the smallest value in n, -1\/7, -3, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*n + 13 - 55 = 0, 5*m = 3*n + 46. Solve 4 + 7 = -m*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of k**6\/30 + 40*k**5\/3 + 5000*k**4\/3 - 129*k**2 - 1. Suppose r(u) = 0. Calculate u.\nAnswer: -100, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1092742000 to the nearest 1000000.\nAnswer: -1093000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2640 and 462?\nAnswer: 18480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -948, -952, -968, -1002, -1060, -1148, -1272, -1438?\n\"Answer: -h**3 + 3*h - 950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.517116 centuries to millennia.\nAnswer: 0.1517116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21578742.\nAnswer: 2, 3, 1198819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q + 188 + 328 + q + (2 - 1 - 3)*(4*q + 3*q - 6*q) - 2*q + 3 - 3 - 7 + 3*q + 7.\nAnswer: -3*q + 516","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1548080 and 774040?\nAnswer: 1548080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72016, 576048, 1944130, 4608286, 9000540?\nAnswer: 15552916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s + 58. Let r be n(17). Let m be 3*(r\/(-3) - 0). Does 41 divide (12\/m)\/((-2)\/56*1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.155970825 to 2 dps.\nAnswer: 1.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -649 in -1, -0.2, -6.6, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -h - h + 14, 5*h - 35 = -4*p. Suppose -h*x = -13*x - 24. What is the units digit of 1\/(x + 0\/1)*-20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*(-2 + (-5 + -1 + sqrt(1331))**2).\nAnswer: -6825 + 660*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2609*c + 11 - 1313*c - 1307*c.\nAnswer: -11*c + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vz when two letters picked without replacement from vtkqkzttvkqkkvkv?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.226, -3\/2, 0.10274?\nAnswer: -0.226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - o + 2)*((0*o - 3*o + o)*(4 - 4 - 1) - 4 + 16*o + 4 + 1 + 5*o - o - 7*o + 0*o - 3*o + o + (-6*o + 3*o + o)*(-2 + 1 - 1) + 2 - 2 - o).\nAnswer: -16*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 4*w**2 - 13*w + 1. Give r(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(5 + sqrt(21)\/sqrt(3)))**2.\nAnswer: 40*sqrt(7) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**4\/24 - u**3 - 17*u**2. Determine m(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1816 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2584 + 631. Let c = -17359\/1668 + -49\/278. What is the common denominator of c and (-4)\/(-6) - y\/(-216)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/5 of a second?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 1863?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -412*r - 28*r - 184*r - 1644*r**4 wrt r?\nAnswer: -19728*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 132, 134, 136, 138?\n\"Answer: 2*h + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.155 to one dp.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/60*(20\/(-12))\/(-5).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/21*-9*(-4)\/3. Let q be -3*r\/6 - 240\/108. Which is the nearest to 4? (a) -4 (b) q (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z - 4*z - 61*z - 7*z.\nAnswer: -82*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41300402 (base 5) to base 2.\nAnswer: 1010010011011000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244994 is divided by 429?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 11:57 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -r**2\/2 - 7*r + 4. Let q be j(-12). Calculate the greatest common divisor of q and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 56*o**2 + 13*o + 39. Let p(g) = -25*g**2 - 6*g - 18. Let n(f) = 13*p(f) + 6*y(f). Let c(l) = -267*l. What is n(c(k))?\nAnswer: 784179*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhjj when four letters picked without replacement from bbbfbbbbjbffbpfhfbhj?\nAnswer: 1\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 156029?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j**2 + 5*j**2 + 10*j**2 - 4*j in the form v*j**2 + k + m*j and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*o - 5*k, 0 = 2*o - 5*k - 30 + 6. Suppose -38 + o = -9*w. Solve -3 = -3*b - 4*u, 3*u + 25 = w*b - 4 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 5*p - 13 + 193, 4*p = 4. Calculate the remainder when 134 is divided by b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 222*l + 4004. What is s(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 5*b. Let j be g(-4). Let u = 0 + 4. What is the second derivative of -2*d + 2*d**u + d**4 - 5*d**j wrt d?\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (52 - (-14 - -67))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.00718 + 0.21104. Let v = d - 3.19. What is v rounded to three decimal places?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243332?\nAnswer: 2, 127, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 967213228, 967213226, 967213224, 967213222?\nAnswer: 967213220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -45, -63, -99, -147, -201?\n\"Answer: i**3 - 15*i**2 + 20*i - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1489\/20 + -416\/5. Which is the third smallest value? (a) 4 (b) 0.5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i + 4*i - 14 - 3. Let p be g(9). Let l = 3 + p. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 10322078?\nAnswer: -10322082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -301, -512, -721, -928?\n\"Answer: a**2 - 214*a - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g - 66*g + 415 = -8. Solve -n + 3*n = b + g, 0 = 3*b + 3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -67?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j + 7249 = -1167. Let l = j - 521. Solve l*h + 4 = 4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 9882196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o. Let w(k) = 29*k + 14011. Give w(r(g)).\nAnswer: -58*g + 14011","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5818117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/15*3*3\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*i**2 + 2 - 2*i**4 - 3*i**2 + 3*i**2 + 2*i as n*i**2 + p*i + h*i**3 + j*i**4 + g and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - v + 0*v)*(135 - 3 + 46).\nAnswer: 178*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - 49 - -31) + -7 + -10 + -102?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5 + 17 = 0. Solve 0 = 5*h + b*k + 40, -3*k - 5 = 2*h - 4*k for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 8 = -2*d. Is -2\/15 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 960*j**2 - 39*j + 38. Is m(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 275?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 16488674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30*(9 + (-924)\/110).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7)\/(q\/q**(-3)))\/(q**(3\/2)\/(q**(-2\/13)*q)) assuming q is positive.\nAnswer: q**(-303\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.8601 times 0.045\nAnswer: -0.0387045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*f + 45*f + 20*f**2 - 108*f + 0*f**2 + 103*f**2.\nAnswer: 123*f**2 - 229*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13300223 + 10?\nAnswer: 13300233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -5*h**2\/2 + 155*h - 578. Determine r(32).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-900)\/(-4900)*(-14)\/(-12).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4327787, -17310862, -38949313, -69243134, -108192319, -155796862, -212056757, -276971998?\nAnswer: -350542579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18725.58 months to decades.\nAnswer: 156.0465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 260*g**2 + 2 - 513*g**2.\nAnswer: -773*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291 + 722 + 195*m - 290 - 141.\nAnswer: 195*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-6 - -4 - -3 - -2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*q = 0, -3*q = -4*w. Suppose 15*t = 5*t. Suppose w = -t*k - 4*k + 60. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 58215, 111992, 165769, 219546, 273323?\n\"Answer: 53777*w + 4438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 714731 (base 8) to base 11.\nAnswer: 15133a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 3*y + 5*o + 998, -3*o + 3923 = 4*y. Let h = 523 - y. List the prime factors of h\/(-36) - 6\/(-27).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 27.3. Which is the nearest to -4? (a) 4 (b) -0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - x = -3*x - 37, -3*d - 21 = x for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -5375674 and -37629726\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -27, -48, -65, -78?\n\"Answer: 2*f**2 - 27*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -14440*x - 34. What are the prime factors of r(-1)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-1)\/(1\/3). Let n be ((-6)\/(-8))\/((-10508)\/3504 + v). Suppose -11*r + n = -344. What is the highest common divisor of 13 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 1. Let v(s) = 6*s + 0*s - 4*s + 3*s + 0*s. Determine v(z(f)).\nAnswer: 5*f + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 156*j + 2341. Let f be g(-15). Let t(p) = -10*p**2 - 10*p + 10. Let m(c) = c - 1. Determine f*t(n) + 10*m(n).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2789 or 2788?\nAnswer: 2789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2890*h - 2. Let i(m) = 21*m. Calculate i(s(g)).\nAnswer: -60690*g - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 272*n*z**2 - 3649*n - 3852*z**2 + 608 wrt z.\nAnswer: 544*n*z - 7704*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 2 (c) -25.4 (d) 2\/11 (e) 0.6 (f) 5 (g) 10.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7983 and 7983.\nAnswer: 7983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18074*s - 18405*s + 3452 - 20664 for s.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*f = 3*y - 55*f - 13, y - 3*f = -19 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of w**3\/3 + 3*w**2\/2 - 5*w - 1. Suppose 2 - 32 = 6*r. Give j(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368*c - 1008*c - 699*c.\nAnswer: -1339*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -637697000 rounded to the nearest 1000000?\nAnswer: -638000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3959803 and 0.3.\nAnswer: -3959802.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*n**2 + 8*n**2 + 10*n**2.\nAnswer: 31*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in millimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g**2 + 5*g**3 - 2*g**2 - 77*g + 78*g as i*g**3 + v*g**2 + q*g + a and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 8:25 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 104241, -3, -1\/8, 0.2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110111100100111111000001 + 100?\nAnswer: -100110111100100111110111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 79?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b**3 - 1168*b - 359*b**2 - 979 + 1168*b - 3499 wrt b.\nAnswer: -6*b**2 - 718*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*v = 10. Suppose 0 = -4*l + u + 2*u - 8, 3*l + v*u + 6 = 0. Let r(y) = -4*y**2 + y + 2. Let n be r(-1). Sort 5, n, l in decreasing order.\nAnswer: 5, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 12.1. Is x at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-40)*(-30)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -272, 2\/3 in decreasing order.\nAnswer: 2\/3, -7, -272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (22590\/(-33))\/(-3) + (-108)\/594. What is the greatest common divisor of k and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (1 - -4) + -1 - 18.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.06 - -1.16. Which is bigger: 29\/3 or z?\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 913 = -x - 175, 0 = -4*n + 5*x + 1003. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 1. Let z = -1 + r. Suppose 9 + 1 = 5*h. Is h at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110.9 - -10\nAnswer: 120.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.011 rounded to 1 dp?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2953 + 2710. Suppose 38829 = 46*b + q. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9648\/32160)\/((-2)\/((-10)\/(-3)))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 2*u - 50. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6020296*r**5 - 6724515*r**2.\nAnswer: -361217760*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 537 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**2 - 7*c + 5. Let o be l(5). Suppose 0 = -4*f + 9*f - o. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -173305, -346591, -519861, -693115, -866353, -1039575?\nAnswer: -1212781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (9 - -5*(-24)\/30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 3186?\nAnswer: 12744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**3*u**2 - 4*q**3*u + 3*q**2 + 537*u**2 - 80*u wrt u.\nAnswer: 4*q**3 + 1074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280 is divided by 70?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0303 rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (3\/(-114))\/((-2)\/68).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -111?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2. Let n(b) = -1079*b. What is n(k(v))?\nAnswer: -1079*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 + -0.299991. What is n rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + 5 + 1 + sqrt(567).\nAnswer: -1 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 1814335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l**3 - 5*l**2 - 8*l + 6. Let q(d) = -9*d**3 + 9*d**2 + 15*d - 11. Let r = -11 + 14. Suppose -9 = y - r. Determine y*q(j) - 11*b(j).\nAnswer: -j**3 + j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4449.7 + -4450. Suppose -3*f - 10 = 3*n + 5, 3*f - 5*n - 9 = 0. Let o be 0 + (-5)\/(-2)*f. Which is the third smallest value? (a) o (b) 4 (c) r (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 996 divided by -2?\nAnswer: -498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -20*m + 18. Does 18 divide q(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45374 divided by 926.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 10*w**2 - 7*w - 1. Let l(s) = -29*s**2. Calculate j(l(x)).\nAnswer: 8410*x**4 + 203*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**5\/11 - 118*q**4\/11 + 1030*q**3\/11 + 6366*q**2\/11 - 3780*q = 0.\nAnswer: -66, -7, 0, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -40. Let k = -14 - -14. Suppose 4*u - 65 - 551 = k. What is the highest common factor of v and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30110676\/5 or 6022134?\nAnswer: 30110676\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/6 (b) 0 (c) 18\/11 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(56)\/(sqrt(32)\/sqrt(4)) - (sqrt(7) - 2*sqrt(28)))**2.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = r - 2, 3*u + 1 = -r + 3. Let k(t) = 5*t**2 + t - 2. Determine k(r).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w. Let k(i) be the first derivative of -i**3\/3 + 1. Calculate o(k(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2143*o - 3715. What is the thousands digit of d(23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -7*r - 66, 91*r + 13*q + 344 = -94*r + 270*r - 88*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 6*z + 172. Let u(o) = -3*o - 87. Calculate 11*u(j) + 6*w(j).\nAnswer: 3*j + 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 less than -12\/73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529359 is divided by 18905?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 742504514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6280200 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7926684 to the power of 1\/3, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 9:00 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 361052 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 40.95383mg?\nAnswer: 0.00004095383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 24*q**2 - 19*q + 467. Determine m(24).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a + 118 + 182 = 0. Solve 65*j = 61*j + a for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2. Let u = -71 + 73. Let g(m) be the first derivative of -1\/2*m**u + 0*m + 3. What is g(b(y))?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 7499\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386288 is divided by 218?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113002 + 3?\nAnswer: 113011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14980 and 9044.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*v + 237*v - 3472 = -182*v - 21184 for v.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -6.1. Let k = -35\/2 - -17. Which is the nearest to x? (a) -0.2 (b) -3\/8 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfxxbbbfbjbffbb. What is prob of sequence bjb?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 7116*f. Let h(d) = 2*d**2 - 13*d. Let b(k) = -k**2 + 6*k. Let i(m) = -13*b(m) - 6*h(m). Calculate j(i(p)).\nAnswer: 7116*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -21874*j - 21874. What is y(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 2*c + 1349034 = 0. Suppose 0 = -3*o + 1575483 + c. What is o rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + 3*o - 202 - 193 + 395 - 7*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a + a - 13*a + (2 - 5 + 4)*(3*a + 4*a - 5*a) + (1 - 6 + 3)*(-2*a + 4*a - a) - 2*a + 0*a + a + 2.\nAnswer: -15*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16.9 - 16.807. Let g = b + -2.093. What is the smallest value in g, -5, -0.1, 2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**5 - 50*t**4 + 200*t**3 - 250*t**2.\nAnswer: 2*t**2*(t - 5)**2*(2*t - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/14)\/r*r**(-2\/17))\/((r*r**4*r)\/(r\/(((r**(-3\/20)\/r)\/r)\/r))) assuming r is positive.\nAnswer: r**(-6893\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59.2 + 71. Let f = -15.8 + a. Put -0.3, -5, 5, f in decreasing order.\nAnswer: 5, -0.3, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(847) + 0 - sqrt(847))**2 - ((sqrt(847)*-1)**2 + 4).\nAnswer: -842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*q**5 - 103332*q**4 - 5*q**2 - 670*q + 256 wrt q.\nAnswer: -180*q**2 - 2479968*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.33 - -0.33. What is the nearest to 0.08 in 2\/5, b, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ow when two letters picked without replacement from woooqrqwowwlowwqloqo?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (3519\/(-18))\/(-17))\/(21\/(-12))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, 0, 119\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w + 2. Let p = -5 + 4. Let q be 5*p*1 + (8 - 6). Let r be c(q). Calculate the highest common factor of r and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 5*o + 20099, 6*b + 5027 = 7*b - 2*o. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11892, -41834, -89822, -155856, -239936, -342062, -462234?\nAnswer: -600452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -58*t - 4. Let u be m(-2). Suppose u = o + 2. Suppose -o = -3*k - 8. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 5*q**8\/336 + q**7\/42 - 17*q**5\/12 - 47*q**2. What is the third derivative of n(v) wrt v?\nAnswer: 300*v**2 + 120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**7\/10080 + k**6\/1440 + k**5\/160 + 5*k**4\/4 - 22*k. Let w(o) be the third derivative of u(o). Let w(t) = 0. What is t?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*1 + (-2 - -5). Suppose 27 = 3*h - 5*c, y*h - 3*h - 3*c + 3 = 0. Suppose -h*v + 4*q + 14 = -6, 0 = -5*q. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2099 * -0.089387.\nAnswer: 0.0187623313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -134.82 + 134.61. Which is the closest to k? (a) -0.07 (b) 0.6 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3016321 and 409039.\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**2)**30*(g**0)**(-14\/11) assuming g is positive.\nAnswer: g**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 24*m**2 + 44*m - 20. Let g be o(22). Which is greater: g or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2034 + -2037. Let g(n) = 2 - 26 + 13*n**2 - 33*n**2. Let a(x) = -61*x**2 - 72. Let b(t) = f*a(t) + 8*g(t). What is the first derivative of b(p) wrt p?\nAnswer: 46*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6)*(-2268)\/882?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(136) + -1*sqrt(136)*3 + sqrt(136))\/(-6*sqrt(32)\/sqrt(4)) + 0).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1900 divided by 6?\nAnswer: 950\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaddvddddaaddadaaaad. What is prob of picking 2 d?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27456 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2736336 (base 8) in base 4?\nAnswer: -2323303132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59 + 462. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70*(-1917)\/(-18900)*((-6)\/(-6))\/(1\/(-2))?\nAnswer: -71\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*h = j - 6, -4*j - 27 = -5*h. Suppose -5*i + 94 = h*g, 0 = -3*g - 0*g + 3*i + 54. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a + 15. Suppose 0 = -2*b - 10 - 16. What is the remainder when 7 is divided by v(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-352 - -1)\/((-1566)\/72 - -21). What is the highest common factor of p and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12345789\/84632 + -12\/10579. Solve -129\/4 - 21\/8*i**3 - m*i - 465\/4*i**2 = 0 for i.\nAnswer: -43, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8632187 to the nearest integer?\nAnswer: 2938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0016505871 rounded to six dps?\nAnswer: -0.001651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0247212489 rounded to four decimal places?\nAnswer: -0.0247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 16*f**2 - 24*f + 15. Calculate u(18).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79 + -82. Let y(z) = 2*z**3 - z**2 - 7*z - 3. Let x(l) = -2*l**3 + 6*l + 2. Let i = -287 - -285. Calculate i*y(t) + w*x(t).\nAnswer: 2*t**3 + 2*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 16491838 and 16491846 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4301976 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihikkhkiiitikittk. Give prob of picking 1 t and 1 i.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 49498543 and 29587.2.\nAnswer: 49528130.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75.37 - 80.4. Let t = f + 0.03. Which is the second smallest value? (a) t (b) -0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 43332109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + 49. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 21790?\nAnswer: 65370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4*f = -0*f + 252, 4*y = -f + 252. Let d be 2\/((12\/y)\/(-2)). Let j be (2\/12)\/((-14)\/d). Which is the nearest to j? (a) 2\/13 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 3, -7\/38, -3\/7, 3\/7 in ascending order.\nAnswer: -3\/7, -0.4, -7\/38, 3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9134453.958 rounded to the nearest 10000?\nAnswer: -9130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 94619\/137344 + 1\/3712. Find the common denominator of 67\/74 and k.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -25*a**2 + 127*a + 12. What is w(5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-497)\/147*(-12)\/40 - (-1)\/(-1). Which is bigger: i or -125?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -21.99. Let g(n) = -n**3 + 7*n**2 + n - 9. Let z be g(7). Which is the second biggest value? (a) v (b) 4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4 + 3 = -2*q, 0 = 4*q + 8. Let j be -1 - (-1)\/((-2)\/(-4)). Is x <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7118154 divided by 6.\nAnswer: -1186359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 - 65*m + 229. Calculate i(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pcpvvj. Give prob of sequence vcp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 178*k**4 - 5616*k**2 - 50*k**5 + 562*k**4 - 133*k**5 + 2*k**6 + 184*k**5 wrt k?\nAnswer: 240*k**3 + 60*k**2 + 17760*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1272722827 to the nearest integer?\nAnswer: 35675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gvtt when four letters picked without replacement from {n: 2, v: 4, g: 2, t: 2}.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -154 + 1?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10878?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 107. Let m = -825\/8 - t. Sort 2\/3, -1, 0, m in descending order.\nAnswer: 2\/3, 0, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 6*i - 4. Calculate the greatest common factor of i and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 18*s**2 - 2. Let d(q) be the second derivative of -q**5\/20 + 13*q**2\/2 + 113*q. Let j(w) be the first derivative of d(w). Give a(j(t)).\nAnswer: 162*t**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -54408 (base 9) in base 2?\nAnswer: -1000110011010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*(sqrt(405) + -1 + sqrt(405)) + 4)**2 - (5 + -2 + -2*(-1 + sqrt(80))).\nAnswer: -136*sqrt(5) + 6479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 5)*(120*c**4 - 410*c + 410*c).\nAnswer: -360*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 12, b: 1, m: 6}. Give prob of sequence jb.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-4935735)\/(-313380)*1\/27*2\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1954)\/55)\/(3\/15). Let c = -180 - n. What is the common denominator of c and 76\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55154 is divided by 259.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20.9 + -124.9. Let l = -33056312.999898 - -33056417. Let u = t + l. What is u rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 82*l + 159*l - 82*l + (l + 5*l - 2*l)*(0 + 0 + 1))*(-2*l**3 - 3*l**2 + 3*l**2).\nAnswer: 2*l**4 - 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -1 (b) -1\/2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*k**(6\/7)*k*k*k))\/k)\/k)\/(k*k\/(k*k**(3\/4)*k*k)*k)*k**1*k**0*k**(2\/5)\/(((k**4\/k)\/k)\/k)*k*k**(-1\/5)\/k*k\/(k*k**3) assuming k is positive.\nAnswer: k**(-1107\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 2:49 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -83*n. Let j(g) = 89*g - 2. Let d(f) = -760*f + 17. Let b(x) = 6*d(x) + 51*j(x). Determine -9*b(u) + 2*q(u).\nAnswer: 23*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4*x - 11 = 3*t, 0 = -5*t + 2*x + 25. Suppose -n + 1 = -y, t*n = 5*n - y + 2. Sort 2\/3, 2\/5, n, 1\/14 in decreasing order.\nAnswer: 2\/3, 2\/5, 1\/14, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3256 is divided by 211.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 690715 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8890)\/(-1397))\/(-70))\/(-1*1)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011708044 rounded to 4 decimal places?\nAnswer: -0.0117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by 8988.\nAnswer: 25\/4494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 823641 by -1.\nAnswer: -823641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(24))\/(sqrt(12) + sqrt(192)*1).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 7*s**2 + 10*s + 9. Calculate the remainder when y(5) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a09a + 225?\nAnswer: a314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.08 (b) 0.03 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69 - ((29 - 21) + -61).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, z: 1, v: 2, k: 4, m: 2, g: 2}. Give prob of sequence vgmm.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -2. Let n = 0.98 + -0.08. Let v = 0.9 - n. Which is the closest to j? (a) 2\/5 (b) 3\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 131710*m - 1. What is w(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1127 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358964.\nAnswer: 2, 43, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oqoqqqkoooqkq. What is prob of picking 1 k and 1 q?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -i**5\/20 + i**2 + 4. Let y(z) be the second derivative of j(z). Let k(l) = -2*l + 0*l + 3*l - 2*l. Calculate k(y(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 937 divide 346062509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -466*w**2 + 2*w + 1. Let i be r(-1). Let u = 752 + i. Let y = 550 - u. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1026 or 1027?\nAnswer: 1026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1, 4\/3, 3, 39, 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2 - -1) + 12\/21)\/(1023\/(-1302))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = o + 30. Suppose p = 6*p - 5*m - 30, -5*m = -p + o. Let d be (2 - -3)\/(2\/8). Calculate the highest common divisor of d and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99139 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2141 at most 2142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1088)*-4 - sqrt(1088)) + -1)**2.\nAnswer: -48*sqrt(17) + 9793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21616554977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 8*t**2 + 1. Let x = -63 + 62. What is g(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, 11, -5, -2.\nAnswer: -5, -2, 11, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000010485 rounded to seven decimal places?\nAnswer: -0.0000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, n: 2}. What is prob of sequence npn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2480 and 20.\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/((-24)\/759) - 8. Let q = 95 + -36. Calculate the remainder when q is divided by (-40)\/9*f\/58.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 374 + -703. Let z be (j\/(-28) - 12)*-8*7. What is the greatest common divisor of 98 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23219 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -676\/25 + 3757\/175. Calculate the common denominator of (-158)\/116*4\/(-6) and n.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41791, -83728, -125661, -167584, -209491, -251376, -293233, -335056?\nAnswer: -376839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 90 + -63. Let v = 62 - u. Calculate the remainder when v is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 8 = 2*l - 5*t, -3*t + 6 = 0. What is the common denominator of (((-3)\/l)\/(-1))\/(-2) and -107\/68?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 0 - -2 - 7) + 5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -452 - -463. Solve -2*w - 16 = 2*n, 4*w + x = -9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5a22c + -4?\nAnswer: 5a228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 541 to the nearest ten.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 5*v - 1, 2*s - 4*v = s + 6. What is the third derivative of 0*d**2 - 3*d**3 + 4*d**s + 5*d**3 + d**3 wrt d?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 225 = 4*a. Let v = a + -24. Solve h + 5*u - 15 = 0, v = -5*h + 4*u - 5*u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (-10 + 18) - -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 2*k + 3. Let f(r) = -r**3 - r**2 - 2*r + 5. Let l(z) = 3*f(z) - 5*w(z). Calculate l(3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1597*x - 170*x - 1023*x - 224*x + 374*x to the form f*x + b and give f.\nAnswer: -2640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 4*n + 53, 26*d - n + 23 = 28*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o - 4*o - 5*o)*(9 + 3 + 3) - 3 - 18*o + 3 - o in the form w*o + c and give w.\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 4*g - 14, c = g + 3 - 5. What is the third derivative of 2*q**4 + 107*q**3 - 101*q**3 - 6*q**4 + 49*q**c wrt q?\nAnswer: -96*q + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 3*x - 24 = 0, 9 = 2*s - 11*x + 12*x for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-10)*(39 + -1). Suppose -40 = -2*n - 2*s, 4*n = 4*s + l + 21. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g + 1. Let c be s(4). Let f = -22 - -59. Let p = c + f. Is 18 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 18*s**2 - 5*s + 5. Let x(t) = -8*t**2 + 2*t - 2. Let q(h) = 2*g(h) + 5*x(h). Factor q(j).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*q + 158 = -282. Let g(k) be the third derivative of k**4\/6 - k**3\/3 - k**2. Let o be g(6). What is the highest common factor of o and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 845 + 0*j**3 - 3*j**3 + 849 - 2502 + 808.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - n + 18. Solve 3*o = o - n for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, -4, 23.\nAnswer: -7, -4, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 13*s**2 - 17*s - 15. Let o be f(-14). Suppose 2 = o*c - 25*c. Suppose -2*y = -c - 29. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 69\/2 of a meter?\nAnswer: 3450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 2*y + 14, -9 = -3*n + 14*y - 13*y. Solve -n = 2*t + 3*b - 0*b, -2*b = -3*t - 19 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -12.63. Let g = c + -0.03. Let v = g - -0.2. What is the closest to 1 in -5, v, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(-16)*f*f*f**(-1\/36)*(f\/(f*((f*f**(1\/30))\/f)\/f*f)*f)\/f*(f\/f**(-23))\/f assuming f is positive.\nAnswer: f**(7549\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2221121020 - -1011201?\nAnswer: -2220102112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00018218 to 5 dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 7. Let d = 2.5511 + 7.4489. Which is greater: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3122 less than or equal to -3123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (0 + 12\/(-3)). Let h = 1 + d. Let g(u) = h*u - 4*u - 3 - 3*u. Calculate g(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 545883329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2. Let j(s) be the second derivative of -s**3\/6 - 3*s**2 - s. Suppose 6*z = 2*z + 28. Let a(i) = i + 7. Let m(r) = z*j(r) + 6*a(r). Give x(m(p)).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -15, 10, 3 in increasing order.\nAnswer: -15, -2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -995*p = -1009*p - 1 + 1. Let c = 4 - 0. Solve -2 = c*h + l + l, p = h - 5*l + 28 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -443*u - 245*u + 9104 = -119*u for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 53*h**2*s**2 + 332*h*s**3 - 2*s**3 + 3*s**2 - 1868*s wrt h?\nAnswer: 106*h*s**2 + 332*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11784*i**2 + 23569*i**2 - 11781*i**2.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 4\/(-16)*-4. Suppose j + 9 = 2*q, v*q + 5*j + 9 = q. Suppose 1 = -q*s + 28. Solve -2*a - a = s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27046*r + 13524*r + 13523*r + 7931)*(2*r**3 + r**3 - 4*r**3) as w + f*r + h*r**2 + t*r**4 + k*r**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 6 - 2. Let s = 19 - b. Calculate the remainder when 42 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven fifths of a century in months?\nAnswer: 18480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -92*z**4 - z + 72. What are the prime factors of a(-1)?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*l - 15*l - 4 - 5*l - 3 - 18*l to the form y + g*l and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 9 + 2 - x + 0. Suppose 14 = 5*w - 26. What are the prime factors of s(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**5\/120 + d**3\/6 + 2*d. Let c(f) be the second derivative of g(f). Let y(j) = 3*j**2. What is y(c(l))?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 12 = 54. Let x be 1*(c + 2)\/4. Calculate the remainder when (-2)\/x*(-44)\/1 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265821 to the power of 1\/2, to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tuu when three letters picked without replacement from {u: 13, t: 6}?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/(-4))\/((3\/(-8))\/(-1)). Suppose -q = -4 + 1. Which is smaller: q or s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2324 + -16271\/7. Sort -0.1, 1\/2, r, -2\/5.\nAnswer: r, -2\/5, -0.1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 118.\nAnswer: 3\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -1 + -92*(-15)\/(-5). Sort x, 4, -4 in descending order.\nAnswer: 4, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -281, 4, -29 in descending order.\nAnswer: 4, -29, -281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 - 100*y**2 - 188*y - 92.\nAnswer: -4*(y + 1)**2*(y + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 12*m**2 + 3*m - 12. Let f be g(12). Let t be -1 - -2 - 4 - 2. Let a = f + t. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 83879 and 4?\nAnswer: 335516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.172 + -77.0744?\nAnswer: -77.2464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2716 divided by 3.\nAnswer: -2716\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-35) - 18\/15?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/3 - 2)*3. Let l(p) = p + 37. Let i be l(-22). Suppose -r + 11*q = 14*q - i, -q = -5*r + 11. Solve u*t + 2 = r*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*(sqrt(76) + 1))**2.\nAnswer: 4*sqrt(19) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 5)*(-w + w - w)*(23*w**3 - 52*w**3 - 47*w**3) in the form t + g*w**2 + x*w**3 + j*w + q*w**4 and give q.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*r - 1, -4*t - 7*r + 3*r - 12 = 0. Let f be 6\/(-18)*30\/t. Suppose -f*u + 16 = -u. Solve -1 = k - u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 7*d**3 + 13*d**2 - 3*d + 10. Let t(k) = 4*k**3 + 7*k**2 - k + 5. Let o(m) = 5*t(m) - 3*x(m). Is o(-6) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -39 in decreasing order.\nAnswer: 0, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - x = 1, 2*y - 5*x = -19 - 0. Let f(i) = 88*i + 35*i - y - 40*i. Is f(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 705083 is divided by 44029?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 m when four letters picked without replacement from mmmeememem?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-545023)\/516489 - (-7 - -6). Let u = c - 4\/4827. Let q = u - 7323\/1070. Find the common denominator of -53\/4 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2015*i + 165242. Give w(82).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 403550 and 350.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.424 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*y + 11 = 30, -i = -4*y. Suppose -2*p - 2*p = 5*v - 27, -3*v = p - 12. Suppose 8 = -p*s - 5*u + 19, 0 = -4*u + i. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -31, -20, -5?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-2))\/((-507)\/(-728)) + 2. Let k = -2 + 1. Is p >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13551 by -54.\nAnswer: 4517\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 3, 0.077, -0.2?\nAnswer: 0.077","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 269*j + 14*j + 75*j - 358. Solve -7*w = j - 36 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 0*h**3 + 9\/2*h**2 + 0 - 1\/150*h**5 + 0*h**4 - 9*h. Let o(v) be the first derivative of l(v). Suppose o(r) = 0. Calculate r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -5*g + 86 - 321, 202 = -4*d + 3*g. Let r = -22 - d. Calculate the remainder when 106 is divided by r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*x - 7. Let m = x + 15. Suppose 0 = 3*h - 5*f - 47, -f = -m*h + 3*f + 52. What is the remainder when 61 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -7\/3 (b) -3 (c) 0.1 (d) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -6*i + 33. Let y(p) = 5*p - 35. Determine -2*f(h) - 3*y(h).\nAnswer: -3*h + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 923*p**2 - 178*p**2 + 587*p**3 + 18.\nAnswer: 587*p**3 - 1101*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*v - 5 = 0. Sort 4, v, -5 in descending order.\nAnswer: 4, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -0.2, 1\/6, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**5 - 5*h**5 - h**5 + (3*h**2 + h**2 - 2*h**2)*(0*h**3 + 2*h**3 - 4*h**3) + 2*h**2 - 2*h**2 - 2*h**5 + (-7*h**5 - 104*h**4 + 104*h**4)*(4 - 3 - 5).\nAnswer: 19*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/((-30)\/18) + 1. Is 2\/(-16) - (209352\/(-64) - g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 12. Suppose -4*c + 3*j = -22 + 69, 4*j + 4 = -3*c. Let g be f(c). Let d(o) = o**2 + 4*o + 3. Calculate d(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4 = 0, i + 4*i = -d + 23. Suppose -i = g - 5*l, -42 = -3*g - 4*l - 0*l. Solve 0 = -y - 4*y + g for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4 + 2*u - 2 + 4. Let b be f(11). Let g = -12 + b. Which is bigger: -2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13807\/310 + -6\/155. Find the common denominator of p and 68\/33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92017?\nAnswer: 19, 29, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-63)*-15)\/(20\/(-64))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17917392 and 22896?\nAnswer: 161256528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**3\/5 - 62*x**2\/5 + 608*x\/5 - 384 = 0.\nAnswer: 8, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 100, 186, 302, 448, 624?\n\"Answer: 15*t**2 + 41*t + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 13516*i + 6. Let m(u) = 7*u**2. Give t(m(y)).\nAnswer: 94612*y**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.0772*0.5\nAnswer: -0.0386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -270093, -269368, -268643, -267918, -267193?\n\"Answer: 725*l - 270818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 630 = 2*v - v, -5*y - 3*v = -1064. Suppose y = 3*h + 5*r, -h + 4*r + 21 = -55. What is the greatest common divisor of 36 and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 828*n + 18175. Determine m(-22).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15367*v**2 + 1157*v - 14 wrt v.\nAnswer: -30734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2321*n**3 + 607*n**3 + 1484 - 1484.\nAnswer: -1714*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -2*i**3\/3 - 12*i**2 + 1. What is the second derivative of v(u) wrt u?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 95\/3325*(10 - -5)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/3*357\/(-51)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 2359*x - 2348*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*z - 5*z = -5*b + 1998907, -2*b + 799610 = z. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 463995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 6*a**2 + 5*a + 2. Let v be h(-5). Suppose 3*j = 5*l + 13, 6 = -5*l + j - 5. Let q = l + 4. Do v and q have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 10) + (5 - (-23 - -10))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -14*b - 49. Let f(i) = -42*i - 146. Let y(m) = -4*f(m) + 11*g(m). Let l be y(-3). What is the highest common factor of l and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3.081 or -50446?\nAnswer: 3.081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/49)\/(0 - (-1)\/7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18282 + 67?\nAnswer: -18215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 84950 - 45959. Suppose 167*m = 164*m + q. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42957\/14630 + 8\/1045. What is the common denominator of x and (83*(-3)\/60)\/((-209)\/(-11) + -20)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 736*l - 14242 - 48218 = 290*l - 942*l for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -a76c0 (base 15) to base 10\nAnswer: -531405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*f - 105 = -116, -4*o = -2*f + 2. Which is the closest to -2\/45? (a) -0.2 (b) -0.5 (c) -0.15 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5048423488?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 0 - 1 + 13*i + 1 - 16 - 5*i**3 - i**3. Let h(p) = -2*p**3 + 4*p - 5. Determine 2*c(a) - 7*h(a).\nAnswer: 2*a**3 - 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02265294 rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/49 + 5468\/(-7). Suppose 7*y - 8*y = 410. Let f = y - j. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0*u - 5 = 0. Suppose 0 = 5*z - v - 5, 2*z - 2*v - 4 = -2. Solve -2*r - u = -z for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -4. Let t = 7 + p. Which is the third biggest value? (a) t (b) -2\/11 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-7 + 4 - (-116)\/38). Suppose -a - 38 = -3*c, 4*c - 6*a - z = -11*a. Let j be (-3)\/(0 + 1) - -143. Calculate the highest common divisor of c and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -96, -193, -326, -495, -700?\nAnswer: -941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 + 47825*d - 286770.\nAnswer: -5*(d - 9559)*(d - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5471708936?\nAnswer: 2, 101, 6771917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/5 + 78*s\/5 - 88.\nAnswer: 2*(s - 5)*(s + 44)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 209971.2 nanograms to grams.\nAnswer: 0.0002099712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z**2. Let k be f(1). Let r be (-1)\/(3 - (12 + -6 + -4)). Let v be (-3)\/(-11)*(3 - 21\/9). Sort v, k, r, 4 in decreasing order.\nAnswer: 4, k, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 579 times -2\nAnswer: -1158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.1 - 1.9. Let z = t + 9. Let o be (6\/16)\/(10\/(-40)). Which is the second smallest value? (a) 2\/11 (b) z (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2560327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 19, 16669, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 307 = 2*b - 30, -230 = -4*y + 3*b. What is the remainder when 249 is divided by y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*y**4 + 2*y**3 + 4*y + 28*y**4 - 16*y**4 as v + m*y**2 + q*y**3 + z*y + r*y**4 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -408 - -470. Let v = 74 - c. Solve 0 = 4*f - 16 + v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 28 + 10)*(-4*a**2 - 2 + 2)*(6*a - a - 2*a).\nAnswer: -300*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 7:08 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.233577 centimeters in nanometers?\nAnswer: 32335770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + z = -0*z + 4, z = 2*t + 4. Suppose -2*q + 15 - 7 = t. Suppose 0 = 4*y, -5*f + 2*f - 6 = 2*y. Put 2, f, q in increasing order.\nAnswer: f, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11)\/(-4) - 3\/(-144)*12. Suppose -5*g = -10 - 10. Suppose a*j + k - 155 = 0, k + k + 200 = g*j. List the prime factors of j.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 2*q**2 + 2*q + 7. What is the remainder when 17 is divided by g(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*x + 782 = 0, 4*o + 4*x - 19 = 609. What is the remainder when o is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d**2 + 2*d - 11. Let m(l) = l**2 - l + 1. Let r(x) = i(x) + 6*m(x). Let s be r(3). Solve 13*w + 9 = s*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 - 2)*(26*i**2 - i**2 - 4 + 3) as v + x*i + z*i**2 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -45.72*-4\nAnswer: 182.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16602737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*l**3 + 8*l**3 + 20*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/(-80)*30\/4 - 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 37\/(15059\/1650) + -4\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 m, and 1 i when three letters picked without replacement from miihrcii?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 2:30 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 0 - 7*m**2 + 0*m**7 + 0*m**6 + 0*m + 0*m**4 - 1\/30*m**5 - 3\/56*m**8 + 0*m**3. What is the third derivative of s(v) wrt v?\nAnswer: -1080*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -17. Suppose 2*v - 10 = -2*u, -7*u - 11 = -5*u - 5*v. Suppose -102 - 34 = 34*j. Sort j, u, q, -5 in descending order.\nAnswer: u, j, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 14*n**2 + 14*n + 21. Determine g(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -13*a + 10*a - 2, -3*k + 2*a = -3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/13*320\/(-200).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -5, 0 in decreasing order.\nAnswer: 0, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 7*n - 14. Let y be m(-4). What is the second smallest value in -5, y, -0.67?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -275103, -550215, -825327?\n\"Answer: -275112*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411 is divided by 326.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9560862 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1164 = 3*l + 2*v - 38388, l = -6*v + 12456. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-72 + (-29900)\/(-416))\/((-1)\/(-4)*1). Which is the nearest to -4? (a) p (b) -5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**2\/9 - 44210*x\/9 - 3143951\/9 = 0.\nAnswer: -71, 44281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 1923*w**3 - 5622*w**2 + 36*w + 12. Let k(g) = 770*g**3 - 2249*g**2 + 15*g + 5. Let n(d) = -5*b(d) + 12*k(d). Find the third derivative of n(q) wrt q.\nAnswer: -2250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 0. Let q be 1 + 0 + 0 - -2. Let h = -46 + 49. Solve q = m*z - h for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6404 (base 8) in base 6?\nAnswer: 23232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p**2 - 7*p**2 + 0*p**2 + 1 + 3*p**2 + p in the form z*p**2 + g*p + u and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4747*o**2 + 345*o. Let h(s) = -5264424*s**2 - 382536*s. Calculate -5*h(x) - 5544*w(x).\nAnswer: 4752*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -2)\/((-1)\/(-2)). Let m be 5\/(1\/(2\/i)). Suppose m*z + 4*h - 472 = -89, -3 = h. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-2\/27)*a)*a\/(a\/a**(-2\/17)))\/(((a*a*a*a**32\/a)\/a)\/a**(2\/85)) assuming a is positive.\nAnswer: a**(-75781\/2295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 15*g**2 - 13*g + 30. Let u be p(-14). Let a be 1 + 17 - 1\/1. Is a greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 0.4, 4, -1.4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6374 + -6384. Sort b, -1, 0.7 in descending order.\nAnswer: 0.7, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 14 = 2*a, 4*f - 2*f - 10 = a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7479071 by 6.\nAnswer: 7479071\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**4 - 2*s**2 - s**3 + 4*s**4 - 3*s**4 - s to the form t + o*s**2 + u*s**3 + b*s + p*s**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t**(-1\/5)*t))\/(t*t**(-1\/15)*t))**(-4\/23))**(29\/2) assuming t is positive.\nAnswer: t**(2378\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 161884544 to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 - 37. Which is the nearest to -0.7? (a) -5 (b) n (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/3984 and 29\/2496.\nAnswer: 207168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -84146900\nAnswer: -33658760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*b = 4. Suppose l + b*l + 10 = 0. Let k = 0.6 - 0.1. What is the third biggest value in 0, k, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 111?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 148704 and 16155631.\nAnswer: 16304335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4303, 17223, 38793, 69013, 107883, 155403, 211573?\n\"Answer: 4325*q**2 - 55*q + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1554\/(-4)*188\/(-141)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12057102.17591 minus -76?\nAnswer: 12057178.17591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**15*h**9*(h**(-2\/7))**(1\/25) assuming h is positive.\nAnswer: h**(4373\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148773517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.80121 nanometers to micrometers.\nAnswer: 0.08880121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 170 - -602. Suppose -78 - i = -17*s. Calculate the remainder when s is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13 + 146787?\nAnswer: 146774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 456851709 a multiple of 699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 5*x - 23, -5*x = -7*q + 11*q - 17. Suppose 4*t - 3567 - 345 = -4*p, 2*p + x*t = 1956. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**2\/2 + 6875*m + 480025\/2 = 0?\nAnswer: -13715, -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, w: 1, n: 4, b: 4, f: 1}. What is prob of sequence nwfn?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 151554 and 48633?\nAnswer: 1131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -549, 3, -2, -167 in descending order.\nAnswer: 3, -2, -167, -549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31947, 31953, 31965, 31983, 32007, 32037, 32073?\nAnswer: 32115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1300 + 3407. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14978669.174 minus 0.5?\nAnswer: 14978668.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of l**10\/5040 + l**6\/180 - 4*l**3\/3 + 4. Let x(f) be the third derivative of a(f). Find the third derivative of x(v) wrt v.\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1544 and 16.\nAnswer: 3088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -63 + 65. Suppose 2*b - 4*r = 40, 0 = -n*b + 4*r - r + 35. Solve -4*m + b = -9*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/314195 and 3\/125678.\nAnswer: 628390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -9*y**2. Let s(n) = 3*n. Let q(o) = 2*o. Let a(j) = -5*q(j) + 4*s(j). Give b(a(m)).\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -15*a + 138. Let g(m) = m - 2. Calculate -f(q) - 18*g(q).\nAnswer: -3*q - 102","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 943302702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1697745523 divided by 1.\nAnswer: 1697745523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*f + 551. Let m = -67 + f. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 4 = u - 2*l, 5*u = 3*l + 9. Let b(c) = -2*c - 18. Let h be b(-9). Suppose 2*d + h = 6. Solve 4*r = u*j + d*r + 5, -j - 25 = -5*r for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13526113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*f + 18, -9*a - 4*f + 44 = -6*a. Solve -10*m + 14 = -a for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1943 - -1946. Are k and 33 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.12 + -0.1. Let q = 2.012698 + -2.0327. Let k = z + q. Round k to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avum when four letters picked without replacement from {m: 4, s: 4, v: 5, a: 2, u: 2}?\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/46614 and 64\/9597.\nAnswer: 326298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -23*i - 29*i. Suppose 16*y - 38 - 202 = i. Solve 0 = 9*q - 14*q + y for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 7*z**2 + z + 3. Let c be y(-6). Suppose -5*v = -c + 18. Which is smaller: 5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12794.\nAnswer: 2, 6397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*y + 12*y = -30. Let v(b) be the second derivative of 0*b**y + 1\/12*b**3 - 4*b + 1\/24*b**4 + 0. Factor v(w).\nAnswer: w*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1067, 2104, 3105, 4052, 4927, 5712, 6389, 6940?\nAnswer: 7347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 994 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7880.746mm in kilometers?\nAnswer: 0.007880746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44*f**4 + 31450*f**3 - 508*f**2 + 8554?\nAnswer: -1056*f + 188700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -140*n**2 - 597*n - 599. What is g(-2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2. Let a(t) = 27*t + 10. Determine m(a(n)).\nAnswer: -729*n**2 - 540*n - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 1 + 1)*((-2*q + 3*q - 2*q)*(-2 - 2 + 5) + 4*q - 3*q + 2*q).\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -17*d + 1139. Let r(h) = -24*h + 1708. What is 5*r(n) - 7*y(n)?\nAnswer: -n + 567","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 13*q + 83. Let w(c) = -c**3 - 9*c**2 + 12*c + 11. Let n be w(q). What is the tens digit of ((-876)\/n)\/2 + 14\/(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 513\/456*(64\/4)\/4*(-56)\/(-36).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -0.3 (b) 4 (c) 0.26837 (d) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/2 - (-696)\/203\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 0 - (-21 + (-25 - -35)) - (-41 + -1)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7453.961 years to centuries.\nAnswer: 74.53961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 9, -0.04, -3, 5, -0.02?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56.6 + 57. Let b be (1 - -2)*3\/9. Let r be (-2)\/(-3) - (b - 0). What is the nearest to -0.1 in r, f, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -12 + 22. Calculate the remainder when 13 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 take away 3048?\nAnswer: -3048.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*q - 2*q. Suppose 0 = -4*a + 4*t + 16, -t = -3*a - 0*t + q. Let w = 42 - 128\/3. Sort a, -0.5, w in increasing order.\nAnswer: w, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1178, -1962, -2908, -4010, -5262, -6658?\n\"Answer: w**3 - 87*w**2 - 530*w - 562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 624024676?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of g**8\/960 + g**5\/15 + g**4\/2 - 11*g. Let z(i) be the third derivative of q(i). Differentiate z(j) with respect to j.\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.291 to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 0 - f - 1\/6*f**3 + 5\/6*f**4 - 1\/2*f**2. Let o(y) = 15*y - 61. Let c be o(4). Determine i(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/6 + (-271)\/(-3). Let a = 8 - 4. Suppose -u = a*u - h. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 5*o = 8*n - 25, 0 = -5*n + 2*o + 32 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4829222 a multiple of 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5*i + 5, 0 = -3*i + 4*s + s - 1. Suppose w - 6 = 3*y - y, -3*y - 10 = -2*w. Let l be y - (3 + -3 + -6). Solve 0 = i*r - l*r - 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4*4 - (13 - 13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240 + 219 + (-586)\/(-28).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1145.004 - 1147. Let m = 1.46 + r. What is m rounded to 2 decimal places?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - -13. Suppose y + 5*l - p = 0, y + l - 4*l = 22. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-three thirds of a day?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16767127747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 814 - 810. Suppose 0 = 74*o - 72*o + 2*z + 532, 5*o + 1294 = r*z. Which is smaller: o or -263?\nAnswer: -263","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 9*u**2 - 3*u - 13. Calculate r(10).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15066 is divided by 28.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/19 (b) -8 (c) -1\/5 (d) 723\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 + 3*r + 1. Let o be h(3). Let n be o\/105 - 2\/(-5). Let w = 7\/6 - n. What is the biggest value in w, 0, 1\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -136586736 by 94068.\nAnswer: -1452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - (-3 + 3))\/((-2)\/4). Solve q + 0*q - c = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*t**2 + 4 + 8\/3*t.\nAnswer: -4*(t - 3)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0\/m)\/(m**(1\/5)*m)*(m\/m**0)**(-6\/7))**39 assuming m is positive.\nAnswer: m**(-4173\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -465.90240689 plus 34?\nAnswer: -431.90240689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -12*v + 69. Let u be g(5). Solve -2*l - 4 = -k, 3*k + 1 - u = 2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*p - 3*k - 38, 2*p - 74*k + 72*k = 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 502260*u - 1506774*u + 502256*u + 502253*u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7861.46 weeks to days.\nAnswer: 55030.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*-5*12\/(-45). Let z be 1*10\/(-8)*(-16)\/h. Let r = 19.1 - 19. What is the closest to r in z, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 25 = 0, 7405*i + 15 = 7403*i + 5*j - 0*j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-2*6\/126*6\/(-2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2*sqrt(70)*-4 - sqrt(70)))\/((sqrt(10) - sqrt(20)\/(sqrt(2)*-2 - sqrt(2))) + sqrt(10) + (-1*sqrt(100))\/sqrt(10)).\nAnswer: -63*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 286 by 231614.\nAnswer: 143\/115807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36? (a) 2\/27 (b) 2\/233 (c) -2\/7 (d) 5 (e) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*t - 87, -3*h + 0*h - 86 = -2*t. Suppose -3*o + q + 289 = 3*q, -485 = -5*o - 4*q. Let a = o - h. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -2 + 8)\/((-5)\/(-10)). Suppose 5*d + 3*d - q = 0. Solve 0*m = 2*m - d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**18\/w**(-8)*(w**(2\/5))**(-14\/5) assuming w is positive.\nAnswer: w**(622\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 215*i + 2793. Calculate u(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6*n = 0. Suppose -2*c + 3 = u, -4*u + 8*u = -12. Suppose n = p - 8 - c. Calculate the greatest common factor of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -6*l**2 + 62*l + 50. Let o(b) = 4*b**2 - 42*b - 33. What is -5*k(p) - 8*o(p)?\nAnswer: -2*p**2 + 26*p + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 45 = 2*x + 5*f, 5*x - 3*f = 51. Solve 0 = -3*g - x*p + 14*p + 8, -5*p = g - 16 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**4*d**(-1\/9)*d*d**(1\/6)*d**(-4)*(d**(-5)\/((d*d*d\/(d**2*d)*d)\/d*d))\/(((d*d**(6\/7))\/d)\/(d*d*d*d**(-1\/2))) assuming d is positive.\nAnswer: d**(-208\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/9)\/u*u**4)\/(u**(-1))**(-32)*((u\/u**(-13))\/u**(-11))**(1\/61) assuming u is positive.\nAnswer: u**(-15574\/549)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3519905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t - 5. Let k(n) = -n**2 + 1. Let o(v) = 2*k(v) + w(v). Let s be o(4). Let c = -3 - s. What is the greatest common divisor of c and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pffh when four letters picked without replacement from {h: 3, p: 3, f: 5, k: 5, d: 2}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/10 and -139\/360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(190)*3 - (sqrt(190) - ((sqrt(190) + 4*sqrt(190))*6 + sqrt(190)) - sqrt(190)))\/(sqrt(30)\/(sqrt(27)*1)*3).\nAnswer: 49*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2. Let g(o) be the third derivative of -11*o**5\/60 + 10*o**2. Give s(g(h)).\nAnswer: 121*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 14026 = m + q, 3*m - 5*q = -10511. Let v = 70177\/20 + m. What is the common denominator of 77\/18 and v?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*c**3 + 2644*c**2 + 14128*c + 468 = 0. Calculate c.\nAnswer: -13, -9, -1\/30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11772736289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.1071583+626\nAnswer: 626.1071583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 538.7 + -539.6981. Let r = x - -1. What is r rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011000010 - -1101000010?\nAnswer: 11000000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11243 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p**3 - 24*p**2 + 5*p - 36. Give r(5).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x + 16. Let v(i) = -i - 15. Let j(a) = 2*v(a) + 3*z(a). Let m be j(-7). Does 16 divide 800\/(-20)*12\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - -33 - (49 + -18).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.112 + -4.112. Let i = -4.7 - -0.7. Let l = i - -6. Which is the smallest value? (a) p (b) l (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k. Let l(j) be the first derivative of -j**6\/360 + j**3 - 2. Let d(s) be the third derivative of l(s). Calculate d(g(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3668231808 to the nearest integer?\nAnswer: 1542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e820 - -3b?\nAnswer: -e7d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13809 or 13810?\nAnswer: 13809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*h - 47 + 47 + 3*h - h + 0*h + (0 - 3 + 1)*(0*h + 0*h + h) - 3*h + 2*h + 0*h - h + 0*h + 0*h.\nAnswer: -17*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + (-51 - -52 - -42)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 549676?\nAnswer: 2, 131, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (132\/(-18))\/11*(-10)\/((-400)\/(-3))\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20721050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127487293?\nAnswer: 127487293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/14*(2065\/30)\/(-59)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 552*i - 1349 + 4254 = -4072 - 11791 for i.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1835 + 6536. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -195627 or -196217?\nAnswer: -196217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.15 and 405.\nAnswer: 465.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 453185124 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2541\/249776 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14969 + 25396 - 25590 = 1471*y - 61717 for y.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 165 in 1\/2, 0, -3\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2007 = 675*r - 20557 - 31436 for r.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/6*(3 - 5). Put -5, 14, -2, z in decreasing order.\nAnswer: 14, z, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 5*l - 32. Let g(v) = 3*v - 17. Let w(d) = 6*c(d) - 13*g(d). Let f be w(3). Let b = 3287\/1281 + 1\/183. Is f at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -79b + -5b8a?\nAnswer: -6436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 936*t - 936*t - 6*t**4 + (-4 - t**4 + 4)*(2 - 1 + 1) + 2*t**4 - t**4 - 3*t**4.\nAnswer: -10*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/7 (b) -4 (c) 2\/5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 238*(-2)\/8*6. Let a = -201 - i. What are the prime factors of (-2)\/(-3) - a\/(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) 0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(6\/(-3)) + 0. Suppose -4*q - 12 = -r*q - 4*n, 0 = -q + n - 5. Let t = -0.6 - -0.9. Which is the closest to 0.2? (a) t (b) -1\/3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qyp when three letters picked without replacement from pqypwcn?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 16 = -1, -i - 5 = -2*h. What is the remainder when 15 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-one halves of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/((-15)\/6) + 6. Suppose -3*q + 620 = 2*q. Suppose -4*d + q = -x*n, 5*d + 8 = 4*n + 159. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65274 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -11 - 6. Suppose -3*m = 5 - g. Calculate the remainder when m\/18 + 480\/27 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 23248?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3\/13)*q*q**(-5)\/q*((q\/q**(-4\/5))\/q)**(-1\/13) assuming q is positive.\nAnswer: q**(-344\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 + -2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 3) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 1144 = 4*w + 1199 - 2259, 0 = -2*w - 3*q - 37 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51916 a multiple of 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102 + 3 + 33 - 2*u**3.\nAnswer: -2*u**3 + 138","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + 142 + 3*x - 115 - x)*(-3*x - x - 14*x).\nAnswer: -36*x**3 - 36*x**2 - 486*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 296 and 371036?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**2 - 5*c + 54. List the prime factors of u(-8).\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 9, -48, 3 in increasing order.\nAnswer: -48, -1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(5))*2)**2*3 + 3 + 1 + sqrt(125) + sqrt(125) + (sqrt(125)*1)**2.\nAnswer: 10*sqrt(5) + 669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*c = -8. Let d be ((-4)\/(-6))\/(c\/(-6)). Let x = -2\/3003 + 3019\/24024. Is d bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -193722, -387333, -580922, -774477, -967986?\n\"Answer: 2*u**3 - u**2 - 193622*u - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 111*o = 116*o + 1142388, k - 4*o = 571191. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 171123172 to the nearest 100000.\nAnswer: 171100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {y: 3, g: 8}?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4*g - 25, 4*g + 24 = 2*d + 2*d. Let y be 128\/20 - 6 - 36\/(-10). Suppose -16 = -4*z + y. Which is the biggest value? (a) g (b) -0.3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136392.\nAnswer: 2, 3, 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1452 and 32820.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 926 (base 10) to base 8\nAnswer: 1636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -11272\nAnswer: -33816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3424298 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5.1236 in -5, -1, -4, -126?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 1:18 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 157138029748.160005281 + -157138029820. Let d = h - -71.84. What is d rounded to seven decimal places?\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5.60619 minutes?\nAnswer: 0.0934365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2.69 (b) 2\/3 (c) 34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 395 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + 3.2. Let r = -1.9 + 2.4. Sort s, 3\/2, r in increasing order.\nAnswer: r, 3\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 5*n**2 + 50*n + 125 = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 186420524632 - 1.72\nAnswer: 186420524630.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 949 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**5\/10 - 3*p**2 - 58. Let g(f) = 15*f. What is g(q(v))?\nAnswer: 90*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(700) + ((sqrt(700) + 0)*-4 - sqrt(700)))*1 - (sqrt(56)\/(sqrt(8) - sqrt(72))*-1 - (sqrt(112)\/sqrt(2))\/sqrt(8)*-2).\nAnswer: 315*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 81, -2254, 19, 3 in decreasing order.\nAnswer: 81, 19, 3, -1, -2254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 2*j**2 + 20*j - 28. Let g be l(5). Let q be (-5)\/(-20) + 1 + -4 - -3. Which is the closest to q? (a) -0.2 (b) -6 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*w = -22*w - 7. Which is greater: w or -1\/458?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -77075 - -148066. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.5 at most as big as -24319368?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 468797 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -25715 - 25716 + 51431 + 44*o. Let s(w) = 3*w**2. What is q(s(m))?\nAnswer: 132*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 16 = 3*g, 2*t + 2*t - 10 = -g. Solve -3*z - 9 = -5*p - 0, -g*z - 6 = 5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**5 - 460781653*c**4*j**2 + 30*c**2*j - 10863738*c*j**2 wrt c.\nAnswer: 60*c**2 - 11058759672*c*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*d + 183*d = 504 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 28 = 4*y, 23 = 4*y + 5*p - 8. Let g = 15.9 + -16. Which is the closest to -1? (a) y (b) -0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3648744 and 294848?\nAnswer: 29189952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-63)\/(-42) - 5\/(-2) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from iiaaiiaaaa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 86 = -16. Is 18 less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51350 and 158.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.05 (b) 4\/3 (c) 1\/49 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*y**3 - 8*y**3 - 3*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -621 + 1254 - 633 + n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -12. Let o = -51.2 - -51.4. What is the closest to -1\/2 in 0.02, n, o?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 10*i - 30. Calculate r(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 14705 = -26*s + 31*s, 4*s + 8823 = 3*c. Suppose c = 15*l + 466. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -52, 3, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 k, and 1 c when three letters picked without replacement from {i: 2, k: 1, c: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4510)\/(-164)*8\/120?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 8. Let z be r(5). Let v(t) = -t**3 + 2. Let b be v(0). Suppose 4*p = 578 - 538. Solve -z = -2*o + 1, -b*h + 3*o = p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/13432 and 13\/7008?\nAnswer: 161184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**2\/8 + 2541*l\/4 - 5079\/8 = 0.\nAnswer: 1, 1693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 13. Let d(q) = -9 - 6*q + 13 - 3*q + 6*q - 5*q - q**2. Let x be d(s). What is the highest common divisor of 8 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/26 + (-45)\/65*-7. Suppose -a*i + 1674 = q, -i + 458 - 118 = -5*q. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -74*c + 3229. What is v(44)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9954 by 21.\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*m - 73*m + 103 + 607 = 122 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -114027.25166 rounded to the nearest 10?\nAnswer: -114030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5003573 decades to years.\nAnswer: 5.003573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20371\/829 or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) 0.169 (c) 5 (d) 2 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in 5, 18, -1.1, 0.5, -4?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (13 - 69)\/(-4) - 7. Solve 0 = 6*w + x*w + 52 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.8 and -1313.\nAnswer: -1312.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l\/((l\/(l**(2\/13)\/l))\/l)*l*(l\/l**(-12))\/l*((l*l**(-3)*l)\/l)\/(l**1*l) assuming l is positive.\nAnswer: l**(145\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 3:53 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 23068566687 take away 0.22?\nAnswer: 23068566686.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**4\/2 - 51*t**3\/2 + 381*t**2\/2 + 1059*t\/2 - 693 = 0.\nAnswer: -22, -3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -62174.16505 rounded to the nearest ten?\nAnswer: -62170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*q = 30*q - 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.045732 to 3 decimal places.\nAnswer: 1.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1035 - 569 = 110*z - 284 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 28928*s - 189. Is j(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 149*v + 3578. Calculate the smallest common multiple of d(-24) and 3245.\nAnswer: 6490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 3*w - 18 = 0, 0 = 5*s - 3*w + 8*w - 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**4\/11 - 2*d**3\/11 + 30*d**2\/11 - 46*d\/11 + 20\/11 = 0.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 2*z - 20, -3*l = -l - 2*z + 6. Suppose -6 = l*u + u. Let x(c) be the third derivative of c**4\/24 + c**3\/6 - 2*c**2. What is x(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-22) - 2865648\/39952?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10888*t**3 + 15169*t**2.\nAnswer: -65328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2543008 and -3.\nAnswer: 7629024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69 + -57. Let l(a) = a**3 - 13*a**2 + 11*a + 17. Let w be l(v). What is the third derivative of 4*z**5 - 7*z**w + 7*z**5 - 6*z**2 + 2*z**5 wrt z?\nAnswer: 360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 6*w + 292. Let m = 161 + w. What is the remainder when m is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16268 + 2670*b**3 - 16268 + 126*b**3.\nAnswer: 2796*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7775664?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1944307?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 734, -5, -1 in decreasing order.\nAnswer: 734, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 54364876 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2871 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 10) to base 14\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*u + 176*u = 5*r - 25, -20 = -3*r - 4*u for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-3)*18\/8. Suppose -t + o*m + 48 = -m, -3*t = -5*m - 130. Let u be 9\/(-12) - (-22)\/t. Put -2, -4, u in decreasing order.\nAnswer: u, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*r - 922*r**2 + 23*r.\nAnswer: -922*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -30, -18, -2?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3506 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00024371923 to 6 dps.\nAnswer: -0.000244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20830*q**3 + 4*q**2 + 1441235*q?\nAnswer: -124980*q + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1001 - -1022) + (0 + -4 + 0 - 1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1142 - -913. Are -229 and d non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/11 - 63106*q\/11 - 63128.\nAnswer: 2*(q - 31564)*(q + 11)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(4\/(-96)*-12). What is the closest to 0 in 5, b, 3, -5\/11?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 9*r - 5. Let s(d) = 4*d - 2. Let j(i) = 2*a(i) - 5*s(i). Let n(k) = -3*k - 4*k**2 + 3*k. Give n(j(v)).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1359760 - 4724240. What is h rounded to the nearest 100000?\nAnswer: -6100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1729 and 22745489.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 2\/7, -16\/5, 10, 16139?\nAnswer: 16139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3082747 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 733\/2 + -366. What is the closest to -1 in k, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**3 + 9*c**2 + 5*c. Let d(f) = 13*f**2 + 178*f + 127. Let i be d(-13). Let m(j) = -2*j**3 - 4*j**2 - 2*j. What is i*m(u) + 4*n(u)?\nAnswer: -8*u**3 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p - p + 5*p + (5 - 2 + 0)*(3*p - 3*p + 5*p).\nAnswer: 17*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 3*z**2 - z**2)*(-z**2 - 2*z + 2*z) - 10*z**2 - 2*z**4 + 9*z**2 - 6*z**2.\nAnswer: -3*z**4 - 7*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1987, 1875, 1687, 1423, 1083?\n\"Answer: -38*w**2 + 2*w + 2023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*k**3*t*x**2 + 379*k**3*x**3 + 3*t*x**3 - 86*t*x**2 wrt k.\nAnswer: 9*k**2*t*x**2 + 1137*k**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -80 (b) 4\/5 (c) 2\/737 (d) 25 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 81 - 52. Let b(p) = 2*p**2 - 13*p - 12. Let v be b(11). What is the greatest common divisor of h and v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5164e4 (base 15) in base 10?\nAnswer: 3868864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 10) in base 11?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*y = -18. Let l(k) = 3 + 3*k - 2 - y - 3*k**2. Let v(m) = 8*m**2 - 8*m + 14. Let t(b) = 14*l(b) + 5*v(b). Solve t(i) = 0 for i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 8*f + 8. Let u be y(-6). Let q = 11 + u. What are the prime factors of (-3 - q)\/((-2)\/6)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v + v - v + v - 3*v + 3*v + (-3 + 0 + 1)*(-4*v + 0*v + 5*v) - v + 3*v + 3*v to the form r + t*v and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 85853.158 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-3)\/(-6)) + (-48)\/10. Is g less than 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2120 is divided by 63?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100630 and 64195?\nAnswer: 1735","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/5 - -2*6\/(-18). Let p = -1 - -1. Which is the closest to p? (a) 1 (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1282239268?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*a - 269310 = 221124. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102009?\nAnswer: 3, 37, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1748 and 155.\nAnswer: 1903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 2010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 247 + -242. Solve -i*n + 15 = -0*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 13*u - 3\/40*u**6 + 0*u**2 + 0*u**3 - 1\/16*u**4 + 1\/56*u**7 + 9\/80*u**5 + 0. Factor s(r).\nAnswer: 3*r**2*(r - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/((c**(1\/9)*c)\/c*c)*c*c*(c\/(c\/c**(-8\/9))*c)\/c*(c**(-1\/3)*c)**(-4\/27) assuming c is positive.\nAnswer: c**(154\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 4*z + 4. Give q(8).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-20)\/(-6))\/(((-32)\/6)\/(-8)). Suppose 9743 = -x*w + 28968. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.1 - 4.1. Which is the closest to 1? (a) 3 (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q - 12. Let m be z(7). Let w = 125 - 122. Solve -m*u + 1 = -w for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 1255 = -4*h - 1257, 0 = 5*p - 5*h - 15. Let i(l) be the third derivative of 11*l**6\/120 + l**5\/60 - l**4\/12 + l**3\/6 + l**2. Does 8 divide i(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*b - 100 - 144*b + 39 + 39*b + 39*b + 31*b.\nAnswer: 2*b - 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-8))\/(3\/(-12)). Let r(x) = -2*x**2 + 1. Let i(s) be the second derivative of -5*s**4\/12 + s**3\/6 + s**2 + 467*s. Give l*i(u) - 7*r(u).\nAnswer: -u**2 + 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -21868\nAnswer: 1\/10934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 691442, 691475, 691508, 691541, 691574, 691607?\nAnswer: 691640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1092 + 2752.1\nAnswer: 3844.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52 - -102. Let q = 2.356 + -52.556. Let n = q + f. What is the second smallest value in 0.4, -2, n, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1382861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/90*-5*12. Suppose 0 = -x - 4*o + 307741 + 239267, 2*o - l = 0. Round x to the nearest ten thousand.\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1981.164904 plus 620250?\nAnswer: 622231.164904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**3 - 5*s**2 + 2*s. Let w = 9 + -6. Let l be a(w). Suppose 5*g = l, -3*o - g = -2*g - 162. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 85.9 and -5.\nAnswer: 80.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*t + c - 20 + 28, 0 = -253*t + 248*t - 4*c + 15 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 2*v**5\/5 - 3*v**4 + 8*v**3 - 8*v**2 + 4. Let u(n) = 0. What is n?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7510484?\nAnswer: 2, 1877621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.022 + 0.039. Let g = -4.983 - d. Which is the second biggest value? (a) 0 (b) g (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*g - 508. Let n be (-1)\/(-6)*3*-472. Let h = g - n. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + 94.45.\nAnswer: 96.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(8) - sqrt(16)\/sqrt(2)) + 5 + (sqrt(6) + sqrt(6) + (sqrt(6) - (sqrt(72)\/sqrt(4))\/sqrt(3)))\/(sqrt(3) + sqrt(324)\/sqrt(12)).\nAnswer: sqrt(2)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = v - 69. Suppose 25 = 5*f - 0. Suppose -4*p = -2*k + 64, 0 = 4*k + p + f - 97. What is the remainder when v is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*n + 669 - 9729 = 685*n for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -34 + (4 - -16).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 28 = 5*h + 3*w, 3*w = h - 2. Suppose h*g = l + 70, 0*g + 3*l + 56 = 4*g. Is g less than or equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(1 + 2*k - 1)*(5*k - 4*k + k)*(-4*k**2 + 3*k**2 + 5*k**2).\nAnswer: 32*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71997, -288441, -649183, -1154223, -1803561, -2597197?\nAnswer: -3535131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 132 = 9*b. Let f = -50 - b. What is the tens digit of f*(-3 + (-12)\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/872 and 17\/8.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-57)\/36)\/((-3)\/(-30)) and -41\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a second in milliseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*d = -10, 2*s - 3*s + 3*d = -34. Let h = 67 - s. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h**2 + 151*h + 177. Let m be j(51). Calculate the highest common divisor of 975 and m.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y. Suppose 280 + 10 = 5*i. Suppose -52*m = 11*m + 3465. Let p = i + m. Calculate q(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2284, 2242, 2108, 1834, 1372, 674, -308?\n\"Answer: -8*x**3 + 2*x**2 + 8*x + 2282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -26, -3\/4, -3\/5, 0.1, 0, 609, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 109688, 219418, 329204, 439046?\n\"Answer: 28*c**2 + 109646*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - 867\/(-5) - 4\/10. Let v = 201 - p. Solve -5*l - h = v, l - 4*h = -1 + 16 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 136 - 109. Suppose 9 = 3*r - 0. Calculate the greatest common divisor of v and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -5*b**4 - 55560*b**3 + 20472170*b**2 + 55560*b - 20472165 = 0.\nAnswer: -11469, -1, 1, 357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-27)\/(-6))\/((-799)\/102 + 8). Solve -c*l = -11*l - 32 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52369487040 minus -0.1?\nAnswer: 52369487040.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -154 - -633\/4. Let o = 0.02 + -1.02. Are o and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*i**6 + 83*i**4 - 1483*i**2.\nAnswer: -480*i**3 + 1992*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*c - 6. Let n(d) = -d + 3. Let g be n(3). Let f = c - g. Solve f*v + 10 = -3*w, -3*v - 3 = -3*w - 18 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a decade in years?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -18*n + 4179. Let c = n + -166. What is the remainder when 89 is divided by c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -41*b + 9. Let r(q) = 21*q - 5. Let u(t) = 6*l(t) + 11*r(t). Let j(x) = -46*x - 3. Let c = -2050 + 2048. Calculate c*j(n) + 7*u(n).\nAnswer: -13*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 k when three letters picked without replacement from skjsdk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/971, -85\/4, -1.\nAnswer: -85\/4, -1, 2\/971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 4. Let b = -1170 + 1174. Solve 5*a + 25 = q*n - 3, -3*a + b*n = 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -898965646*p**2 + 20195204*p - 14.\nAnswer: -1797931292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -927, -1853, -2781, -3711, -4643, -5577?\nAnswer: -6513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 1 + 1 - 3*u + 0*u + 5*u + 0 - 2*u + 0 + (3 - 3 + 2)*(4 - 4 - 2*u) + 1 + u - 1 - 5*u + 0*u + 3*u + 2*u + 0 + 0 + 4*u - 5*u + 0*u)*(-20 - 23 + 20).\nAnswer: 46*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 33979, 34039, 34123, 34243, 34411, 34639, 34939?\n\"Answer: 2*h**3 + 46*h + 33931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = i - 205, 67 = 3*n + 82. Let y = -162 - -297. What is the greatest common factor of i and y?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2520309 is divided by 148252.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1767155263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, v: 4, y: 3}. What is prob of picking 2 v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 315950339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57898 is divided by 6257?\nAnswer: 1585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3108267123?\nAnswer: 3, 13, 193, 412949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*r**3 - 3*r**2 - 1190*r**4 + 1191*r**4 - 29 + 3*r**2 to the form l*r + s*r**4 + h + u*r**3 + o*r**2 and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16, 49, 118, 241, 436, 721?\n\"Answer: 3*t**3 + 12*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1310 - 906. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, -5, 8 in descending order.\nAnswer: 8, 6, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -211 (base 4) to base 6\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2 + 4 = 0. Suppose -5*d = l*r + 1119968, 0*d - 2239972 = 4*r + d. Let s be r\/(-4) - 9\/(-6). Round s to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35803\/78 - 2755\/6. What is the third biggest value in g, -0.2, -128, 2\/25?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from llllluuudlvvluuvlv.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -7.078.\nAnswer: -1.4156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/144)\/(1*6\/3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and -847053.\nAnswer: -847052.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (64*q**2 + 768*q**2 + 386*q**2)*(-2 + 2*q + 2) + (-q**2 + q**2 + q**2)*(q - 1 + 1) to j + r*q + m*q**3 + w*q**2 and give m.\nAnswer: 2437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 15*f + 0 - 7 + 10 as d*f + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -284 + 399. Is t a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -105716, -105718, -105720?\n\"Answer: -2*r - 105714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/6293992 and 85\/124.\nAnswer: 6293992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -18, -2, 145 in decreasing order.\nAnswer: 145, -2, -4, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 353 - 330.1. Let w = -24 + t. Let r = w + 1.1. Which is the biggest value? (a) r (b) -1\/4 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + 120 + -46 + -25?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhprp. What is prob of picking 2 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 13365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38613, 77282, 115937, 154572, 193181?\nAnswer: 231758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18267097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (-1 - -3 - 4)) + (-64585 - -64668).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2164800 and 152401920?\nAnswer: 762009600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 0*o + 1\/13*o**2 + 8 + 8\/39*o**3. Factor z(a).\nAnswer: 2*a*(4*a + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15392 divided by -3848?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 37. Let h be 4\/j + (-3)\/(-45). Suppose 0*m + h - 2\/5*m**2 = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.1, 25, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 7*p + 11. Calculate the remainder when 9 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 4*t - 20, t = 4*i - 5 - 0. Suppose k + 4*r - 1 = 21, i = -r + 5. Suppose 2*o = 5 - 1. Is k greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**3 + 10*u**2 + 17. Suppose 3*f = 4*f - 2*a + 13, a + 18 = -3*f. Is g(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28107.2*-153\nAnswer: 4300401.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (1 - 14\/2). Suppose -4 = 3*s + y. Let r(d) = -d**3 - 4*d**2 - 3*d + 2. Give r(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*d**2 + 9*d**2 - 66*d**2)*(-2 + 1 - 2811*d - 2 + 1099*d + 3).\nAnswer: 121552*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -7 (b) 267 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1581559 >= 1581442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p**(-2\/5)\/p)\/p*p))**5\/(p**(2\/3))**(-3\/16))**7 assuming p is positive.\nAnswer: p**(679\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 1:29 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 313119640 to the power of 1\/4, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/372 and (-754)\/(-70) - 61\/854.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1363\/2 + -666. Find the common denominator of k and -53\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17075935 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 105547 + -105539. Let q = 0.2 - 1.2. Which is the fourth smallest value? (a) 1\/6 (b) 3\/2 (c) q (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/(i\/(i**(2\/55)\/i)*i)*i*i*i*i**8\/i assuming i is positive.\nAnswer: i**(497\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 220717531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1007*r = 1011*r - 660. Which is the closest to -0.1? (a) 2\/7 (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, m: 2, o: 1, a: 1}. Give prob of sequence wam.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(8\/5)*o**12*(o\/o**6)\/(o*o*o\/(((o\/(o*o**(-5)*o)*o)\/o)\/o*o)) assuming o is positive.\nAnswer: o**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 109458.8+13.4713\nAnswer: 109472.2713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**2 + 15*j - 12. Let y be a(-6). Solve 0 = -3*o - y for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and -11 + (-36372)\/210*(-3 + -2).\nAnswer: 9405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40877471419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 6:35 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5 + (-3*(sqrt(684) - (-4 + sqrt(684))))**2.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3025 or 0?\nAnswer: -3025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) 820 (c) -0.095 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + -0.8. Let g = 24.2427 - -0.0573. Let k = 24.3 - g. Put 2\/5, i, k in descending order.\nAnswer: 2\/5, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zquzhfzzhfhhgzuuhuzu. What is prob of sequence huzg?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 4*b + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32.5 + 32. Let o = 0.5 + 0. What is the nearest to 1\/4 in 2, m, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21610109?\nAnswer: 37, 584057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 794738 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2061 - -2035) + (23 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r + 15. Let q be a(12). Let x be (q - (1 + 1)) + 2. Suppose x*w + 2*y - 47 = -0*w, 4*y = -8. Calculate the highest common factor of 119 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7994048 (base 10) to base 2.\nAnswer: 11110011111101011000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/8, 438, 0.3, 0.03, 2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((6 - 6) + -2 - -4) + -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 117761\nAnswer: 706566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3\/5 + 48*s**2 + 960*s.\nAnswer: 3*s*(s + 40)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 895 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 10:19 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 19*o - 15*o = 150, 3*m + 5*o = 150. Calculate the highest common divisor of m and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 r when two letters picked without replacement from {z: 2, r: 1, s: 4, y: 1, q: 11}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 43 = 5*c + 3*f, c = f for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 6*c**2 + 7*c - 9. Let y(f) = f**2 + 2*f + 2. Let t be (3 - (-21)\/(-6))*4. Let l be y(t). Suppose 21 = i + l*i. Calculate s(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + (-504)\/(-882)*14\/(-4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 150*x - 48*x + 1938 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.154066 rounded to two decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 5*i + 25 = 13, -g - 4*i = -10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d - 21*d - 4*r - 32 = 0, -3*r = -3*d + 24. Let -k - 1\/10*k**3 + 7\/10*k**2 + d = 0. What is k?\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*c**4 - 3*c**3 - c + 97?\nAnswer: 252*c**2 - 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1772)\/(-20) - 4\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of a**6\/60 - a**5\/30 + a**2 + 3*a. Let p(u) be the first derivative of b(u). What is the third derivative of p(o) wrt o?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/2)\/x)**(-4)\/(x**0)**(-1)*((x**(-2\/5))**30)**(18\/5) assuming x is positive.\nAnswer: x**(-186\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16a + -14563a9?\nAnswer: -145623b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0209 to 3 decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 4\/7 (c) 0 (d) 3 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 0. Suppose 0 = 8*o - 6 + 22. Put -4, y, o in ascending order.\nAnswer: -4, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 70\/(-21)*6\/(-5). What is the units digit of 5 - l - 4 - -44?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cdddbdcbddcd. What is prob of sequence cbd?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 8*z + 4*z)*(z - 2*z + 3*z + (-2 - 2 + 5)*(0*z + 3*z - 2*z) + 2 - 2 + 2*z - 93*z - 123*z + 81*z).\nAnswer: 650*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 7\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 950717037 to the power of 1\/3, to the nearest integer?\nAnswer: 983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 5*l - 43, 2*l - 2*b = 11 + 3. What is the least common multiple of 8 and (10\/(-3))\/(l\/(-12))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = c - 11, -c = 3*g - 56 + 45. Solve 22*b + 99 = -c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 774 - 462. Suppose -w*u = -307*u - 380. What are the prime factors of u?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11658 + -93521\/8. Let r = -32 - z. Which is the smallest value? (a) 3\/4 (b) r (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 4*r**2 - 2*r + 4. Let z be v(-4). Let u = z + -702\/5. Which is bigger: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from illzllqlmszmllllllml. Give prob of sequence iq.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 20 = 6846*k - 6843*k, 4*k = -3*f - 40 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 2*x - 4 = 0, 3*p = x + 25 - 18 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 825*o + 53. Is d(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1272.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2926 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4170, -8312, -12438, -16542, -20618?\n\"Answer: m**3 + 2*m**2 - 4155*m - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in months?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**3\/2 - 824135*d**2\/2 + 4944864*d - 14834646 = 0.\nAnswer: -824147, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = v - 4. Suppose 4*z + v = 27. Suppose -122 - 18 = -z*t. Calculate the greatest common divisor of t and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14726255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 4) to base 3\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + i + 120 = -2*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 163220914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3 = c, 5*c + 5*u - 19 = 16. What is the lowest common multiple of c and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + 72 - 36)*(88*n + 9*n + 23*n)*(5*n**2 - 4*n**2 + n**2).\nAnswer: 480*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65428009 to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -402*d**5*g + 2*d**3*g + 2*d**2 + 355*d*g + 1 wrt d.\nAnswer: -24120*d**2*g + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.038 + -1.058. Let s = a - 11.28. What is s rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by 4635713?\nAnswer: -19\/4635713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/132)\/(8\/(-10)*(-4)\/8).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 6:29 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**18*(p*(p\/((p*p**5)\/p))\/p*p)\/p assuming p is positive.\nAnswer: p**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2225*j - 1967. What is the hundreds digit of m(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*i + 32*i = -m - 13, -4*i - 425*m = 441 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -314 + 156 + 5*j**3 + 151.\nAnswer: 5*j**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14707 and 163163660.\nAnswer: 1142145620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 140, 1575, -1337 in decreasing order.\nAnswer: 1575, 140, -1337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 - 13*u + 8. Let h be y(7). Let l be (-1 - -9)*h\/30. Suppose -l*m = 3*m - 3409. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h**3 - 138*h**2 - 67*h - 3405. What is k(-28)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**14*p*p)\/(((p*p**(-10))\/p)\/p))\/(p**(2\/7)\/p)**(1\/7))**(-35\/2) assuming p is positive.\nAnswer: p**(-6885\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*w - 15. Let v = 0.03 + 0.15. Let r = v + -0.58. Put r, 3, w in descending order.\nAnswer: 3, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -p**3\/3 + p + 21. Let t(g) = -4*g**2 - 17*g + 2. Let j(y) = -2*c(y) + t(y). What is the second derivative of j(s) wrt s?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 602, 2836, 6560, 11774, 18478, 26672?\nAnswer: 36356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.48994 to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16174*f + 16113*f + 9394 = 0. Which is greater: 141 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 a when four letters picked without replacement from gggagggggggagaggaaa?\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*a**3 + 32919*a**2 - 202 - 32919*a**2 + 202.\nAnswer: 19*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 + 67. What is the third biggest value in -3, 5, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(2\/13)*l)\/l)**(-2\/39))**(-36))**(15\/2) assuming l is positive.\nAnswer: l**(360\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.104 * 1023\nAnswer: 106.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 4:07 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -9. Suppose -h*s = 3 - 47. Let w(g) = -2*g**3 - 4*g**2 - 2*g - 4. Calculate the remainder when w(-3) is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -996*p**2 + 15*p - 25. Let i(h) = -18924*h**2 + 288*h - 480. Calculate 5*i(g) - 96*t(g).\nAnswer: 996*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f + 3*f + 12*f.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 1526 = -7*d. Suppose 5*b = d - 158. Let y = b - 64. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 29*m - 3. Let f(p) = 59*p - 6. Calculate -6*f(d) + 11*o(d).\nAnswer: -35*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1\/4 (b) 0.02 (c) 9.8 (d) 2 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 32. What is the remainder when 19 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 470, 4, 7, -3, 1 in decreasing order.\nAnswer: 470, 7, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 + -38. Suppose 3*o - d + 4 = 0, 5*o = -2*w + 7. Solve 5*v = -9 - w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44\/5 + -9. What is the nearest to z in -2\/11, 2\/9, 0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**4 - 5*l**3 - 25*l**2 - 15*l.\nAnswer: 5*l*(l - 3)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -135.86 + 0.\nAnswer: -135.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 750 + -240. Round p to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 + (-64)\/(-24) + (-16)\/6. Let q(t) = t**3 + 2*t**2 - 4*t - 1. Let f be q(-3). Is (-4)\/b*633\/f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11.37624 and 4.4.\nAnswer: 50.055456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 - 77.9. Let s = v + 55. Let q = s + -4.1. Which is smaller: q or 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137 + 241 - 119 + 3*t.\nAnswer: 3*t - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211011201012002 - -2?\nAnswer: 211011201012011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 12:31 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * 4\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 7854065*d. Let q(b) = -11*b. Determine q(a(l)).\nAnswer: -86394715*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.206 and 5.\nAnswer: 1.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**3 - 15*t**2 - 7*t - 8. Give x(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**5\/60 + o**2. Let f(q) = -14 - 46 + 7*q + 60 - 21*q. Give f(u(t)).\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-244)\/(-11) + 4\/(-22)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**2)**(-42)*(i**(2\/9))**(-28) assuming i is positive.\nAnswer: i**(-1190\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 665 and 1273?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 12*p + 120 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a meter in millimeters?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.05, -1060.22, -1\/3, -11?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19620999 by -6540333.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 14 = -3*q, -2*s - 1 = -q + 1. Let r = -13.4 + 13.3. Let f(x) = -x + 12. Let o be f(8). Which is the biggest value? (a) o (b) r (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.008, -2\/9, 117\/61?\nAnswer: 117\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/8*6)\/((-32)\/(-192))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 4*s + 25 + 10, c + 4*s + 15 = 0. Suppose -105 = -5*z - p - 16, -5*p - 5 = 0. What is the remainder when z is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-1 - -9) - (-4 - -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**5\/2 + 4*h**4 + 25*h**3\/2 + 19*h**2 + 14*h + 4 = 0 for h.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 446 + -5806\/13. Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -688 divided by -1.\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 10:37 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-20)*1000\/900?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14, -34, -54, -74?\n\"Answer: -20*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 11*b - 6. Let v be c(-11). Let a be -1 - v - (3 - 0). Let d(w) = -2*w**2 + 2*w**2 + w**a - 4. What is d(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 469 = -5*k, -23 = 5*k - 18. What is the highest common divisor of 377 and v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 136257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + -1*sqrt(110)\/(sqrt(10) - sqrt(250)) + -5*6*(sqrt(11)*-1)**2.\nAnswer: -327 + sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (32 - (-8 - -8) - 8) + (6 - 1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16851434, 16851440, 16851446, 16851452?\nAnswer: 16851458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 5*m = 5, 4*q - 357 = 5*m. Suppose q = 2*t - 47. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 22, 87, 194, 343?\n\"Answer: 21*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -475, -521, -561, -595, -623, -645, -661?\n\"Answer: 3*i**2 - 55*i - 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25\/6 in 5, -181, 0, 0.2, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 536035?\nAnswer: 5, 47, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3672, -7344, -11016?\n\"Answer: -3672*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 156, 357, 638, 999, 1440?\nAnswer: 1961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -751 - 86?\nAnswer: -837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 6*w + 2621. Let h be v(0). Suppose 13*q - 889 - h = 0. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 16 - 7 + 1 + 2*f - f + 0*f. Let d be 16\/(-3) - (-4)\/(-6). Let b be v(d). Solve -b*t - 2 = -3*z - 1, 4*z + 40 = -5*t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 395*x - 26351. Give w(-85).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c - 3. Let t = 12 - 7. Calculate the smallest common multiple of t and o(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 69504182*m*q**3*w - 7*m*q**2*w - 991*m*q*w - 30*m*w - 19*q**2*w - w wrt q?\nAnswer: 417025092*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*f + f + 61*f - f.\nAnswer: 201*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 106*p**2 - 6*p + 37. Let j be w(5). Suppose -3*n + 19 = 4. Suppose 0 = -3*q + 2*s + j, 6*q - 3538 = 2*q + n*s. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5429 + 3.9921. What is i rounded to 1 dp?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oozy when four letters picked without replacement from {z: 2, o: 3, y: 7}.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*w - 105. Let m be (w\/4)\/((-15)\/(-40)). Solve -3*q = -h - m, -h - 5*q + 19 + 7 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 430300 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -581982430 to the nearest one hundred thousand.\nAnswer: -582000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -11654\/15251 != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2989, -3008, -3041, -3094, -3173?\nAnswer: -3284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkkercckk. What is prob of picking 1 p and 1 k?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 31930 rounded to the nearest 1000?\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26414903 to the nearest integer?\nAnswer: 5140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 12. Let k = 17 + b. Suppose 0 = -j - 2 + k. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 513 and ((-20)\/(-15) - (-5)\/(-6))*6.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**2 - 16*z + 10. Let i be p(-9). Let j(u) = -6*u**3 - 5*u**2 + u - 22. Is j(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4368, -4425, -4520, -4653, -4824, -5033?\nAnswer: -5280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7896 and 392168.\nAnswer: 1176504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-24\/11))**(9\/4)*(q**27)**(-50))**(-15) assuming q is positive.\nAnswer: q**(886275\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a kilogram in grams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1587854169?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 22*q**2 + 100*q - 42. Is 13 a factor of i(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 k, and 1 q when four letters picked without replacement from {t: 1, q: 4, k: 5, o: 4, h: 2}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/6)\/((-1)\/6). Let d be 5 + -1 - (4 - 4). Suppose -22 + 6 = d*w. Sort 1, g, w in ascending order.\nAnswer: w, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/1612 and ((-9917)\/9495)\/((-134)\/5 - -2).\nAnswer: 14508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -51 + 155ae?\nAnswer: 1555d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -82*s**2 + 1. Let m(o) = 11*o. Calculate m(q(d)).\nAnswer: -902*d**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 192970574219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/2)\/(45\/(-18))*-5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1429\/117 + -140\/13. Let w(a) = -a**3 - 20*a**2 - 25*a - 3. Let c be w(-13). Find the common denominator of (-7708)\/c + -5*(-2)\/(-6) and q.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 567 is divided by 551.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -5*t + 14, 4*b + 3 = -b - t for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 49413.37462 to the nearest 10.\nAnswer: 49410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*i**2*m + 2*i**2 - 46*i*m - 24672*m wrt i.\nAnswer: -24*i*m + 4*i - 46*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2419508*d**6*j**2 - 3848*d**2*j - d**2 + d*j**2 - d - 5 wrt d.\nAnswer: -290340960*d**3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiciiii. Give prob of picking 1 c and 1 i.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 p when four letters picked without replacement from ncpppsvvvppvnnsp?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3 = 3*u, 0*t - t + 5*u = -9. Let i = 4 + t. Solve -5*o - 2*y + 18 = 0, 2*o = i*y - 0*y - 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22779470200 to the nearest 1000000.\nAnswer: 22779000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5001 + 5001.4. Put -3, a, -31, 0.2 in increasing order.\nAnswer: -31, -3, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100111100100201 (base 3) in base 11?\nAnswer: 2936984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - x**2 + 5*x - 6. Let c be v(-4). What is the hundreds digit of (-10 + 14)*c\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -7*c + 12. Let g(k) = 8*k - 13. Let a(j) = -2*j - 21. Let o be a(-14). Let q(s) = o*y(s) + 6*g(s). Suppose 5*f - 12 = 3*f. Give q(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeev. What is prob of picking 2 v and 1 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18318 divided by -6106.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 2*w - 0*w - 16, 12 = -3*d + 3*w. Let t = -6 - d. Suppose 5*z = -2*u + 3*z - 2, -t*u = 5*z + 8. Sort 4, u, 0 in decreasing order.\nAnswer: 4, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -666, 0, -1, 1, -5 in decreasing order.\nAnswer: 1, 0, -1, -5, -666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b + 8. Suppose 9*k = 6*k - 27. Let l be (1 + -3)\/(k\/36). Let y be n(l). Solve -4*d + y + 16 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7324 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and 1.62 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 606452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -38 + 43 + -32 + -3 + 3\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3193648.5 times -1?\nAnswer: -3193648.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13824, -13827, -13832, -13839, -13848?\nAnswer: -13859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 36976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/9*66\/(-88). Which is greater: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - m + (3*m + 3*m - 5*m)*(20 - 9 - 2).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/7776 and 86\/135?\nAnswer: 38880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122938.\nAnswer: 2, 61469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 159*5\/(45\/(-6)). Find the common denominator of (-4 - -3) + b\/8 and 20\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3299 (base 11) to base 7.\nAnswer: 15443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/((-608)\/(-48))*50\/105.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ehhehfh. Give prob of picking 3 h.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z + 9*z - 6 = 4*j, 4*j + z = -5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 70?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -5*q - 14. Let i(f) = -f**2 - 4*f - 14. What is 5*i(u) - 4*n(u)?\nAnswer: -5*u**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95481*b**3 - 48000*b**3 - 47478*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**4 - 96*w**3 - 2397*w**2 - 4418*w = 0.\nAnswer: -47, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -23. Let w be -1*(0 + 1 - -8)\/3. Which is the third smallest value? (a) 2 (b) w (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.071 + -115.071. Let s = 115 + l. Let u = 0.6 - -4.4. Which is the closest to s? (a) -0.2 (b) 1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6310484 greater than or equal to 6310486?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15461.9 + 15464.9. Let x be 6\/(-15) + (-104)\/(-210). Which is the closest to 0? (a) z (b) 0.3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 36?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 3*i**2 + 2*i + 4. Determine z(-5).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**12\/d*d**(-7)*d)\/((d**(-1\/9)*d)\/d**(-22)) assuming d is positive.\nAnswer: d**(-161\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + 2*t - 3*t + 3 + (-4 + 5 - 3)*(-t - 4*t + 3*t) + 3*t - 3*t - t.\nAnswer: t + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, d: 1, i: 1, p: 6, t: 4, y: 1}. Give prob of sequence tty.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*h - h - 1, -1 = -5*h - l. Let m be h + 3 + -1 + 0. Solve 1 = -m*r - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5377006027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 62. Let d(x) = -x**2 - 4*x - 4. Let m(g) = -g**2 - 5*g - 5. Let t be (-22 - -12)*2\/15*3. Let q(w) = t*m(w) + 5*d(w). Calculate q(k(f)).\nAnswer: -f**2 - 124*f - 3844","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 10, -4*d + 2*h + 7 = -5. Suppose -3*v - 1180956 - 299050 = d*c, -v = -5*c - 3699998. What is c rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -835496? (a) -5 (b) 1\/5 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-267)\/(-3)*(1 - 2). Let x = k + 128. Let o = x + -5. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/120)\/(3\/(-45)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 314\/10 + (-27)\/(-45). Suppose -46 + x = -7*b. Solve 2*n + b = n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = -251 - 13367. Let c = 2278 - z. List the prime factors of c.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15390598*g**3 - 20055928*g wrt g?\nAnswer: 92343588*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 10775*u - 75391. Calculate k(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 - -40. Solve -g = -0*m - 5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -54*n + 52*n. Is n even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 86122*d**2 + 75323*d wrt d?\nAnswer: 172244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 639678679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**2 + 0*k**2 + 11*k + 2*k**4 + 0 - 4 + k**2 - 2*k**3 as n*k + z*k**3 + b + x*k**4 + d*k**2 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -142 + 131 + 0 + 5.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*i + 3*x, 0 = -2*i + 37*x - 36*x + 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 36*o**2 - 62*o - 551. Give t(38).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2713, -5539, -8689, -12325, -16609, -21703, -27769, -34969?\nAnswer: -43465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -483*a**2*p**2 - 101*a**2*p - 8*a*p - 2*a - p**2 - 14*p + 1 wrt a?\nAnswer: -966*p**2 - 202*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1524*k**3 + 1041*k**3 + 938*k**3)*(-4 + 4 + 4*k) - k**4 + 3*k**3 - 3*k**3 to g*k**2 + n + u*k**4 + o*k + i*k**3 and give u.\nAnswer: 1819","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.038014 to two dps.\nAnswer: -1.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -78337*u**5 - 474431*u?\nAnswer: -1566740*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h + 2. Let x(p) = 2*p + 2. Let a be x(2). Let l(c) = 13*c + 7. Let r be (3 + -38)\/(-7) + 1898\/(-73). Calculate a*l(k) + r*d(k).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, w: 1, n: 1, k: 1, a: 2, z: 1}. Give prob of picking 1 z, 1 k, and 1 f.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1227 + 1904. Let z = p + -1437. Let x = -760.000341 - z. What is x rounded to five decimal places?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 156735 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 243 and 662741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 67*k**2 - 2*k - 4. Let x(f) = 132*f**2 - 7*f - 7. Determine -9*j(n) + 5*x(n).\nAnswer: 57*n**2 - 17*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.33 + -0.03. Let s = -4 + 3.7. Let q = -76805.1 + 76805. Which is the closest to 9? (a) i (b) q (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2664*a**3 + 5*a**2 - 24*a + 19. What is p(1)?\nAnswer: -2664","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 12 + 8 + -36?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -213, -161, -61, 99, 331?\nAnswer: 647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p + 3*a + 11, 3*p - 5*p - 14 = 2*a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*n = 3*n, 4*n + 4 = 0. Let s(d) = d**3 + 5*d**2 + 7*d + 6. Let y be s(-4). Let b = -1 - y. Put b, m, 4 in decreasing order.\nAnswer: b, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 10 = -n. Let u(d) = 9*d**2 - 5*d - 5. Let k(l) = 4*l**2 - 2*l - 2. Let y(r) = 5*k(r) - 2*u(r). Let i(x) = 5*x**2. What is n*y(m) - 3*i(m)?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 12*y**2 - 6*y + 4. Let m be g(-3). Suppose 5*k = -2*u + 52, 7*k = 5*u + 5*k - m. What is the greatest common divisor of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 601036894.\nAnswer: 2, 59, 487, 10459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 954460*j**5 + 563*j**2 - 12067?\nAnswer: 57267600*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4021 is divided by 1327.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111000010001101 - 1011110101?\nAnswer: 111110110110011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.36 * -327.\nAnswer: -117.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*j + 5*o, -17*o + 20*o = j - 18. Solve -2*b + 5*t + 11 = 0, -5*b + 2*t - j = 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 26, 60, 96, 134, 174, 216, 260?\n\"Answer: o**2 + 31*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + f**2 + 18*f + 5. Suppose 3*n - 5 + 46 = -5*m, 3*m - 2*n + 17 = 0. Is s(m) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4605?\nAnswer: 3, 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8\/349 - -365\/698. Which is the nearest to 6? (a) -19\/5 (b) -0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/7)\/(r*r**(-1\/3)\/r))\/(r**(3\/13)\/(r\/r**9)) assuming r is positive.\nAnswer: r**(-2195\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*o - 2*m, 2*o - 8*m + 5*m = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**3 + 4*m - 2*m**3 - 1 - 2*m**3 - 6*m**3 to b*m + z*m**3 + y*m**2 + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24\/5? (a) -5\/4 (b) -2816 (c) -4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -8. Let s(b) = 3*b + 13. Let x be s(r). Solve -3*k + 2*t = x, 2*k - 5*t - 7 = -23 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-2\/7))**(-30)*(z*z**(-6))\/z**5 assuming z is positive.\nAnswer: z**(-430\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -894222563*o**4 - 475035161*o**2?\nAnswer: -21461341512*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11\/33 + 40\/24. Solve -d*n - 2 = 3*h, h + 1 + 8 = n for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 791\/(-61) + (72 - (-82 - -141))?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4098 and 3567.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 times -543?\nAnswer: -59730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.351 and 1892.\nAnswer: -8232.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -78327 (base 10) in base 3?\nAnswer: -10222110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -100, -18, 4.\nAnswer: -100, -18, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**5 - 9*n**4 - 9*n**3 + 33*n**2 - 18*n.\nAnswer: 3*n*(n - 3)*(n - 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) -0.5 (c) -116 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5176453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -135 + 410\/3. Let s = -0.4 + 0.8. Let n = 37244 - 37244. Which is the closest to n? (a) s (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1180823 - -122?\nAnswer: 1180945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 10157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 3*x**4\/8 + 3*x**3\/2 - 27*x**2. Let w be t(-20). What is the units digit of 0 - 1 - (0\/1 + w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3 - 9*q - q**3 + 0*q**3 - 10*q**2 + 3. Let l(x) = -x**3 + 2*x + 3. Let u be l(0). Let k be 2 - u - 10 - -2. Calculate t(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*k = -1193*k - 70784 for k.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 8:44 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-52)\/18 - 3\/(-27)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8701, 8104, 7113, 5734, 3973?\nAnswer: 1836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -9, 3\/5, -30, -4, 0.07, 2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 20*u**2 + 83*u - 3. Determine c(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -881*k = -886*k + 15. Suppose 0 = 4*f - k*u - 174, 25*f - 29*f - 5*u + 190 = 0. What is the remainder when f is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 + -46. Let a(n) = 27*n + 3. Let q be a(v). Let i = q + -11. Solve 3*t + i = 4 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 945*g + 9. Let o be f(-3). Let p = o + 5329. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5\/3 + 5*h**4\/3 + 8*h**3\/3 + 4*h**2\/3.\nAnswer: h**2*(h + 1)*(h + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1561322 (base 7) to base 11\nAnswer: -138806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 4*w + 4*w + (3 - 2 + 1)*(-w - w + 0*w))*(-19*w**3 - 45*w**3 - 59*w**3) + (3*w**2 + 3 - 3)*(w**2 + 2 - 2).\nAnswer: 249*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1427890 divided by 7?\nAnswer: 1427890\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -27*r**2 + 6*r - 44. Let b(w) = 57*w**2 - 13*w + 89. What is -6*b(i) - 13*f(i)?\nAnswer: 9*i**2 + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(sqrt(4) + (sqrt(12)\/sqrt(3)*-5 - sqrt(4)) - sqrt(4)) + -1.\nAnswer: -1 - sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - 1 - (188 - 8). Let f = 208 + n. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/2 in -3\/16, -58, 1\/35?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -18. Let p = 59\/15 - 7\/3. Let o = p - 27\/20. Put o, d, 1 in ascending order.\nAnswer: o, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k**2 - 166*k + 2611. Give q(16).\nAnswer: -1325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.3 and 324?\nAnswer: -421.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 minus -143.242?\nAnswer: 143.362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 77818907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.281 and -0.7588.\nAnswer: 4.7660228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -397142370 to the nearest one hundred thousand.\nAnswer: -397100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -0.2, -638, -5, -2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - a - 1. Let z be (4\/(-3))\/(4\/30). Let h be (-170)\/(-50) - (-4)\/z. Let v be y(h). Solve v*j - 13 = 3*g, -2*j = -5*j + 5*g - 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -1.9, -31, -0.03, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 28 - (2 - -1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1023?\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (49400\/117)\/20 + -21 - 73\/9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 10 - 10)*(-3*q - 3*q + 4*q).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3741*0.75.\nAnswer: 2805.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2226 + -2227. Let c(g) = -1. Let i(n) = -3. Let s(u) = 4*c(u) - i(u). Let h(o) = o**2 + 2*o - 2. What is t*s(w) + h(w)?\nAnswer: w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 1304?\nAnswer: 1304.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20955*t**2 + 24260*t**2 - 3305*t**2 + t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -254 - -245.45. Let g = -8 - i. What is g rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 174693 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6.703135ug?\nAnswer: 0.000000000006703135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 - 211f729?\nAnswer: -211f731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3648*g**3*m + 5*g*m + g + 2*m - 2 wrt g.\nAnswer: -21888*g*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 g when four letters picked without replacement from {n: 1, b: 2, w: 2, a: 7, h: 5, g: 3}?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-2)\/4)\/(6336\/(-1056)).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.193, -0.09, 2\/17, -5, -0.0114?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjer when four letters picked without replacement from rjbexjbxjxb?\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 6 + 1 + -2 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 269212 divided by 34\nAnswer: 7918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1370969 is divided by 15489.\nAnswer: 7937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 12:17 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -23649, -3, 0 in increasing order.\nAnswer: -23649, -3, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 38 + 6)*(-p + 3*p - 3*p).\nAnswer: -44*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 87264 - 6153 = 0. Let a = z + -166471\/2. Let g = 2164 + a. Calculate the common denominator of g and 75\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**2 - 2*l**2 + 2*l**2 + (-2*l + 3*l + 0*l)*(2*l + 5*l - 6*l) - 4*l - 8*l**2 + l**2 + 6*l.\nAnswer: -4*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*k**2 + 38*k + 13*k**4 - 20*k**4 + 6*k**4 as f*k**3 + o*k + w + v*k**2 + l*k**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 368*i - 341. Let z(h) = -2*h - 4. Let v(p) = -c(p) + 4*z(p). What is the first derivative of v(n) wrt n?\nAnswer: -376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.93 - -1.93. What is the second smallest value in 0.6, i, -1\/7, -5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8325, -8347, -8369, -8391, -8413?\n\"Answer: -22*n - 8303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 608414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -16. Let j = a + 2. What is the second smallest value in j, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-70)\/(-15)*(-3)\/(-2). Let b(r) = -r + 3. Determine b(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 4*g + 19 - 31 = 0, -3*g = -l - 19 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4583752 divided by 572969\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(-i - 2*i - 2*i) + (-2*i + 5*i - 2*i)*(0 + 0 + 1) + 2 + i - 2 - 134*i + 56*i - 13 + 68*i.\nAnswer: 2*i - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 9*f - 1. Calculate w(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*c - 15 = 0. Let z(f) = -f + 9. Suppose -33 = -12*p + p. Let k(d) = -2*d + 18. Let a(o) = c*z(o) + p*k(o). Differentiate a(l) wrt l.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 186.7345cm?\nAnswer: 1867345000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 39 - 259)*(-1 + 0*w**3 - w**3 + 2).\nAnswer: 278*w**3 - 278","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -2.68 (c) -27 (d) 2 (e) 15 (f) -3.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 20449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1532*f*p + 149*f + 2*p**2 with respect to p.\nAnswer: -1532*f + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -16992*r + r**2 + 17012*r - 15 + 15 as n + q*r + g*r**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5\/9292 + -167201\/102212. Find the common denominator of 0 + 1 - (-838)\/(-812) and o.\nAnswer: 4466","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5\/6 + 3\/2. Let s = 2571 + -2550. Is s less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 7.9, 0.033, 3, 5, -6?\nAnswer: 7.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193, 859, 1935, 3421, 5317?\nAnswer: 7623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -39\/4 in 2778.9, -1\/4, 0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/((k*k**(-4\/11)\/k)\/k))\/k**(-8))\/(k*k**(-1\/5)*k*k**(5\/4)\/k))**(-32) assuming k is positive.\nAnswer: k**(-14632\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2 + t**3 + 0*t**2 + 1 + 5*t**2 - 2*t**2 - 10*t. Let q be i(-5). Solve q*f + 2 = -0*y - y, 4*f + 2 = -2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -16*r**2 + 244*r - 33. What is b(15)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/18*246\/410?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -181.4 + 181. What is the biggest value in b, 0.4, -24, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of g**2\/2 - g - 3. Let k(i) = 20*i + 13. Let z(o) = 6*c(o) + k(o). Is z(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -1 - -5 - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 259793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 2 + sqrt(1300))**2 - sqrt(52)\/(sqrt(4) + sqrt(32)\/sqrt(8) + sqrt(4)).\nAnswer: 131*sqrt(13)\/3 + 1577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38757?\nAnswer: 3, 12919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(180) - sqrt(180)*-3) + 2 - (sqrt(180) - (sqrt(180) + sqrt(180)*-3*5))) + 0)**2.\nAnswer: -4224*sqrt(5) + 348544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.42 + -24.42. Let p = -10309 - -10309.4. Which is the biggest value? (a) j (b) 7 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78 - 73. Solve 89*i**4 - i**3 + i**h - 91*i**4 + 2*i**3 = 0 for i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/5*h**4 + 16\/5*h + 2\/5*h**3 + 4*h**2 + 0 = 0.\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + (sqrt(16)\/(-3*sqrt(48)\/sqrt(6)))**2.\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4218170 divided by -2?\nAnswer: -2109085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -565 - -567. Let d be (-462)\/98 + 5 + (-16)\/(-42). Factor d*r + r**z + 0 + 1\/3*r**3.\nAnswer: r*(r + 1)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(8\/6)*(-328)\/(-492).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -3*w - 20 + 14, 9 = 3*s - 4*w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7960 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*g = -7, 4*g - 7 = 5*h + 16. Let t = 2 + h. Which is the closest to t? (a) 0.16 (b) -0.2 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4151*k**3 - 51856*k**3 + 2557*k**3.\nAnswer: -53450*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10103 + -1?\nAnswer: -10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1641\/134 or -13?\nAnswer: -1641\/134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 q, and 1 k when three letters picked without replacement from {k: 1, m: 1, f: 2, q: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from sssssmssmssssm.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0 = -8. Find the third derivative of -51*m**4 - m**2 + 20*m**4 + 21*m**n - m**2 wrt m.\nAnswer: -240*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -15*f - 269. Is i(-31) a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, h: 5, u: 1, j: 4}. Give prob of sequence hhz.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 46385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 158*w**4 + 420*w**3 - 382246*w**2.\nAnswer: 3792*w + 2520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 10 - 2)*(3 - 1 - 3)*(-d**2 + d**2 - 3*d**2)*(-4*d + d - 5*d).\nAnswer: 336*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 240 - 241. Which is the closest to -0.2? (a) 0.1 (b) -6 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112821 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 149*h + 153*h + 8 = 0, -v + 5*h = -29 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152397?\nAnswer: 3, 7, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - b. Suppose -3*d = 5*x - 68, b = -5*x - 4*d - 3 + 72. Calculate the greatest common factor of 26 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272) + 0 + (sqrt(612)*-2)**2 + -3 + sqrt(272) + 3.\nAnswer: 8*sqrt(17) + 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 545160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 3*s**2 + 24*s - 4. Let c(r) = -r**2 - 2. Determine 3*c(w) - k(w).\nAnswer: -w**3 - 24*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-6)*d)\/(d*d**(2\/5))*(d\/d**(-2\/5))**21)\/((d*d**(-1\/12))\/d**(-1\/2))**(-45) assuming d is positive.\nAnswer: d**(347\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 76841447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 299 + -6 + (3 - 0). Suppose -m + c - 1498 = 3*b, -1204 = 3*b + 2*m. What is b rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3322?\nAnswer: 2, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 17*g + 358. Calculate x(-21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 93877525609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18006253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62 and 4?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21331 at most 14134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 p when four letters picked without replacement from rrpdndpdrrpprnrpdr?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - y - 3. Let u be z(-2). Suppose 0 = v + 4*g - 29, -53 = -u*v - g + 6*g. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**5 + 807*i**4 + 2*i**3 + 101606*i wrt i?\nAnswer: 20*i**3 + 9684*i**2 + 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -11*c**3 - 9*c**2 + 7*c - 7. Let f(b) = -3*b - 27*b**3 + 14*b**2 + 3 + 32*b**3 - 10*b**2. Determine -14*f(d) - 6*q(d).\nAnswer: -4*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1981 * 0.2\nAnswer: 396.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1079 = -329*k + 5999 + 3963 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 0.127743 (c) 1\/3 (d) -1 (e) 5 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d**2 + 3*d - 5. Let t(w) = -2*w**2 + w - 2. Let j(f) = -7*f. Let b be j(4). Let r = -6183 - -6166. Let x = r - b. Calculate x*t(y) - 4*h(y).\nAnswer: -2*y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 (base 15) in base 10?\nAnswer: -261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 l, 1 o, and 1 z when four letters picked without replacement from {p: 3, l: 5, z: 1, o: 3, t: 1}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**3\/3 + p**2\/2 - 12*p. Let a(b) = 48*b - 2044 + 2064 - 16*b. Let y(q) = -3*a(q) + 60*o(q). Let r(f) = f. Give y(r(x)).\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 36 = -4*n. Suppose -3 = -p + n. Calculate the remainder when 22 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 1375.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405401 is divided by 172?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-25)\/((-35)\/7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -194, -1, 0?\nAnswer: -194","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w - 21. Let t be 9\/(-12)*6\/(-3)*6. Let s be q(t). Solve 4*l - s = 10, 13 = k + 3*l for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -257a8 - 3?\nAnswer: -25800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g. Let u(l) be the second derivative of -l**3\/3 - 8*l. Give u(z(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 5*a**2 - 4*a + 4. Let o be g(-4). Let m be (o\/10)\/((-1)\/(-5)). What is the derivative of -3*n**4 - n**4 + m + 2*n**4 wrt n?\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 10 = 11*z, 0 = -4*g + 4*z + 16. Solve -4*f + 4 = g*w, w + 4*w = -4*f - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 19434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/9843040 and -73\/20670384.\nAnswer: 206703840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -267 + 266.9. Which is the third smallest value? (a) k (b) 4\/5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30817838 less than 30817840?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q + 56*q - 5*q**2 + 4*q**2.\nAnswer: -q**2 + 56*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 124*b - 124*b - 10*b**4 + (-5*b**2 - b**2 + 3*b**2)*(-18*b**2 - 3 + 5 + 15*b**2).\nAnswer: -b**4 - 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 5, 3, -7 in decreasing order.\nAnswer: 5, 3, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/10, -47, -27\/10?\nAnswer: -27\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**2\/9 - 14*t\/3 = 0. What is t?\nAnswer: -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1205 is divided by 100.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -11, -5, -3, 1 in decreasing order.\nAnswer: 4, 1, -3, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 730, 1463, 2196?\n\"Answer: 733*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 45*a**2 + 10*a + 443. What is i(-45)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.1 + -5.1. Let x = 10.6 - 10. Let n = x + -0.9. Put f, 3, n in increasing order.\nAnswer: f, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -412*s**3 - 7 + s - 416*s**3 - 8*s + 3*s**2 + 829*s**3. Calculate u(-5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009155 to 5 dps.\nAnswer: -0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-102)\/(-13) - (-9)\/(351\/6). Let g(q) = -q**2 + 10*q + 7. Let b be g(u). What is the highest common divisor of 1 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 85*d - 13*d - 56*d. Let x(b) = 2*b**2 + b - b. Give m(x(t)).\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -6, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3802156262 - -11114.3.\nAnswer: 3802167376.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x + x + x)*(0*x + x + 2*x) - 4*x**2 - 3*x**2 + 0*x**2 + (0*x - x + 2*x)*(2*x + x - 6*x) in the form m*x**2 + a*x + c and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 3810\/850 + (-69)\/115.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {w: 3, n: 3, j: 2, r: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 4, 0 = -44*t + 48*t + o - 66. Calculate the remainder when (-7 - (-771)\/18)*6 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2405610 to the nearest 10000.\nAnswer: -2410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v + 4*v + 364. Let u = 89 - v. Let m = 1 + -7. Sort m, u, -4 in decreasing order.\nAnswer: u, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2070 divide 717246720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 6, 6, 4, 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 120\nAnswer: -1\/120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 8*o + 4. What is p(7)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzlazaooz. Give prob of picking 2 z and 1 o.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 6:55 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*34*(-714)\/867.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 16, k: 2}. Give prob of picking 2 y and 1 k.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -20*f**2 - 1. Let x(w) = -w**2. Determine -o(v) - 2*x(v).\nAnswer: 22*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**3 + 3*h**2 - h - 2. Let u be s(2). Solve -u + 9 = 3*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/3 (b) -17.1 (c) -2\/9 (d) 6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((4 - -1) + 0)*(6 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 3*r**2 - 6*r + 4. Let v be i(5). Suppose -f + v = 2*f. What is the remainder when f is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -432 - -432.2. What is the smallest value in 1\/2, t, -1\/9, 5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375 = -2*h - 87. Let f = h + 31. What are the prime factors of f?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 523 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 366218 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -677*p - 5*g - 55 = -675*p, -8*p = 2*g - 14 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d - 157. Let s be b(-32). Solve -2*m - 1 = s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 35 - 80 - 24*x + 41 - 12*x + 4*x. Let o(b) = 2*b**2. Give d(o(y)).\nAnswer: -64*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-643 + 1)*(1\/((-8)\/32) + -4). What is the greatest common divisor of x and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 33*q**2 + 10*q - 75. Let b be w(-32). Suppose -2*m + 3*m - b = -2*y, -5*m + 3119 = -3*y. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 8*t + 88*t**3 - 15*t**2 - 87*t**3 - t + 6*t + 15. Calculate j(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01327411 times -3?\nAnswer: 0.03982233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128 - m - 3*m - 12*m + 35*m.\nAnswer: 19*m - 128","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4213*x**2*z**5 - x**2*z**2 + 159*x**2*z + 6947*x*z**2 + 11*x - 29542*z**4 wrt z?\nAnswer: -252780*x**2*z**2 - 709008*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -14*c**2 + 79*c - 33. Let b be i(8). Is -295 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f**3 - 13*f**3 + 28*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b - -3520?\nAnswer: 3513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**5 + 74*a**3*j**3 + a**2*j**2 - 12*a**2 + a*j**3 wrt a?\nAnswer: -60*a**2 + 444*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 t when two letters picked without replacement from yztrrrzrqtqzzr?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 8*r - 3. Let m(n) = -2*n**2 - 9*n + 4. Give -3*l(j) - 2*m(j).\nAnswer: j**2 - 6*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 52619 != 59381?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (1 + 5 - 608\/104)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 5*a + 6. Calculate the remainder when a is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-395 - -401)*((-15)\/(-9) + -2 + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.1, 166, 0, -0.2 in descending order.\nAnswer: 166, 0.1, 0, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 214.21 - -1.79. Let z = -215.9999643 + t. Round z to six decimal places.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/6 - (50\/(-10) + 2)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9888 (base 10) to base 16.\nAnswer: -26a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 24 = 4*k, 182*k - 181*k - 17 = 4*a. Solve -m = t + 2 - k, -4*m = 2*t + 10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 76, 70, 64, 58, 52, 46?\n\"Answer: -6*k + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 (base 10) in base 8?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5065, -1 in descending order.\nAnswer: -1, -6, -5065","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -0*h - 33396. Let s be (-3611430)\/432 - 0\/2 - -8. Let d = s + h. What is the common denominator of d and 58\/33?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28876.\nAnswer: 2, 7219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220 (base 3) to base 13.\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 0 (c) -0.2 (d) 1 (e) 1\/8 (f) -0.608\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4398397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6948.66ms in minutes?\nAnswer: 0.115811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3057.\nAnswer: 3, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*s + 3*s. Let m be -1 - s - -1*3. Solve -5*n - 5 = 3*d - 3*n, -5*d - 3*n - m = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lmg when three letters picked without replacement from mguummuugmmumlhlmull?\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 2*l**2 - 2*l + 2. What is n(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -103 + 36723?\nAnswer: 36620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4663, -4657, -4643, -4615, -4567, -4493?\nAnswer: -4387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + -48 + 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -97*n + 5. Let f(b) = -49*b + 3. Let s(m) = -147*m + 9. Let a(x) = 14*f(x) - 4*s(x). Let r(z) = 5*a(z) - 6*p(z). Let l(w) = 2*w**2. What is l(r(d))?\nAnswer: 16928*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**2\/3 - 158129210*i\/3 - 6251211763806025\/3 = 0?\nAnswer: -79064605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 2 + (6 - -5). Suppose -13 = -5*l + w. What is the second derivative of x + l*x - x**4 + 2*x**4 - 7*x wrt x?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -416, -3378, -11452, -27194, -53160?\nAnswer: -91906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31624759 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.26 in -12\/11, -0.6, -0.5, -386?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-36090)\/(-27) - 7) + (-1)\/(-3). What is the greatest common divisor of v and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/96)\/(1\/50). Let o = -3823\/8 + 477. Let r = o + m. Which is the closest to 0.2? (a) 0 (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/(-6))\/((-15)\/20). Let s be 20*(3 - (-1)\/(-2) - w). What are the prime factors of -1*3\/6 - (-1235)\/s?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of 0*l**6 + 0*l + 0*l**4 + 0*l**7 + 8*l**2 + 19\/168*l**8 - 11\/60*l**5 + 0 + 0*l**3. Find the third derivative of o(s) wrt s.\nAnswer: 2280*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 618, 5\/3, 14\/11, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (5 - 3) - (-1 - (-11 + 4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54087749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 48?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/1)\/(-40))\/(35*33\/83160)\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 6 = -3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 10*f**2 - 2*f - 13. Suppose 22 - 2 = -2*u. What are the prime factors of x(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1587 and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46603792?\nAnswer: 2, 103, 28279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*d + 6*d + 16. Suppose d*a + 1066 = 3*v, 519 - 1597 = -3*v - 2*a. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2 = n. Let j be 2\/(4 - 11\/n). Let z = -0.12 + 5.12. Which is the third smallest value? (a) -2 (b) j (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4768 and 1982296.\nAnswer: 1192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 4*x + 32, -5*x - 2*q = q + 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 0*b**2 + 0*b - b)*(b - b + 5*b)*(37 - 37 - 4*b).\nAnswer: 40*b**4 + 20*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*c + 5*t + 113, t = c - 109. What is the greatest common divisor of c and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 0 - -17 - (0 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4367 + 2223 + 2232)*(-4 + 0 + 3)*(2*y**5 + 0*y**5 + 0*y**5).\nAnswer: -176*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + x)*(x + 3*x - 6*x) + (-3 + 5 - 4)*(-1 + x**2 + 1).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + h**2 + 2*h**2)*(-2 + 0 + 0 + 0 + 1 - 4 + (0 + 1 + 0)*(2 - 2 + 1) + 1 - 5 + 3 + (1 + 0 + 0)*(-6 + 1 + 3) + 0 + 3 - 1).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -415a7a + -233?\nAnswer: -416202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 35 = 5*m, 5*m - 6*m = -4. Let b(x) = 3*x + 85. Let c be b(0). What is the highest common factor of h and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*k - 3*k**4 - 23*k)*(2 - 3 + 2) + k**4 - 5*k**4 + 2*k**4.\nAnswer: -5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 0*n + 6 - 6*n - 3 + 4*n. Determine y(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v = 7 + 17 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1214981*u**2 - 2*u + 365917?\nAnswer: -2429962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 + 11088\/(-522))*(-8)\/32.\nAnswer: 9\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2005852, -4011771, -6017694, -8023621, -10029552, -12035487?\n\"Answer: -2*d**2 - 2005913*d + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 33. Let u = -255 - -257.09. Let l = u + -1.09. Which is the third smallest value? (a) 0.3 (b) q (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*q + 97*q = 10, 2*z - 5*q = 174. Let h = 46 + -18. Calculate the remainder when z is divided by h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w + 370 = 354 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 4*r + 12. Suppose k + 69 = 4*p - 2*p, -2*p - r*k + 64 = 0. Suppose -5*s + p = 3*l - 0*s, 4*l = -2*s + 22. Solve l*v + 2 = -1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -805.\nAnswer: -804.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 4:31 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14012813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1157574927.\nAnswer: 3, 1373, 281033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 74 + 24 = 0. Calculate the smallest common multiple of 16 and h.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5\/2, -1\/7, 1081, -2, 3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 239285339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -10*t - 1. Suppose -3*j - 30 = -6*j. Suppose -10 - j = 5*m. Calculate the remainder when q(m) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c = -19*c - 4. Let z(o) = 0 + 0*o**2 - 1 + 4*o**2 - 3*o**2 + o. Let p(t) = 5*t**3 + 10*t**2 + 5*t - 5. Let d(u) = c*p(u) - 5*z(u). Factor d(g).\nAnswer: 5*g**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -3272?\nAnswer: 3272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 35 + 1 + -39\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, 1, 9, 16006?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -76 + 0 - (614 - 679).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 7 - 43. Let w be (-150)\/(-3) + -1 + 1. What is the greatest common divisor of b and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 939983094 to the power of 1\/5, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w - 221. What is h(39)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -30. Let r be ((-42)\/(-24))\/(2\/168). Suppose -5*j = 2*c - r, j - h*c - c = 26. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 2) + -10 + 9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 374876448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29783*g + 40428*g - 3 + 33607*g + 3.\nAnswer: 44252*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (12\/(5 - -1) - 21). Suppose -z - 10 = -0*z. Let j = z + a. What is the remainder when 62 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-11) - ((-8)\/(-100) - 216\/825)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 19 (b) 0.5 (c) -0.5 (d) -0.4 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w. Let d be v(-3). Let k be (-2 - -3)\/(d\/234). Suppose -3*m - 2*m = -4*x + 74, k = 5*x + m. Calculate the highest common divisor of 176 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 5736150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/1377, 1\/8, 89, -2, 3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -46 and 16?\nAnswer: -736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 291 (b) -154 (c) -2\/9 (d) 5 (e) -1 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 12) + (-2 - -3). Let p be (d - 2)\/(6\/9). What is the units digit of 2*(p\/(-6) - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 6 - 1. Suppose q = 3*i - u, -3*u = 5*i - u - 12. Find the second derivative of j**i - j**2 + 2*j - 2*j**3 wrt j.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/1*3*(-4)\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3124, 12413, 27874, 49489, 77240, 111109?\n\"Answer: -3*c**3 + 3104*c**2 - 2*c + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 2\/3*n**3 + 0*n**2 - 8 - 9\/4*n**4 + 0*n. Find the third derivative of v(h) wrt h.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 26*s + 2. Let u(k) = 27*k + 2. What is 6*g(z) - 5*u(z)?\nAnswer: 21*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1961722 take away -0.3?\nAnswer: 0.4961722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 2*g**2 + 22*g - 63. List the prime factors of h(12).\nAnswer: 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 3*p + 7*p - 19 = 0, -5*p = -3*t + 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3576 = 3*v - 4*h, 3*v + 3*h = 2694. Does 28 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7775 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 - -21. Sort 1, t, -3 in increasing order.\nAnswer: t, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.92 to one decimal place.\nAnswer: -6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 + 76 = 4*v. What is the remainder when v is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -6*p**4 + 18*p. Let r(l) = -l. Let j(g) = -2*d(g) - 44*r(g). Find the second derivative of j(n) wrt n.\nAnswer: 144*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-50)*7\/((-168)\/(-1560)).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*z + 57*z + 56*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/4 + (-176)\/(-32). Let y(n) = -3*n - 17. Let r be y(-8). Let z = r + -3. Solve 15 + k = z*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67 + -17. What is the greatest common factor of n and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, 22, 73, 146?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-572)\/(-10))\/((-545)\/(-550) - 1). Is a\/(-6) + (-18)\/(-54) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2\/5, 1\/3, -59, 2, 37 in ascending order.\nAnswer: -59, -6, -2\/5, 1\/3, 2, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r - 5. Let c be x(-4). Suppose 6*f = c*f - 3. What is the smallest common multiple of 16 and f + 15 - (1 - 1)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a centimeter in millimeters?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t + 0 - 3 + 28*t**2 + 2 - 1. Let r be m(2). Let c = r + -81. What are the prime factors of c?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 2201103?\nAnswer: -2201112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7075 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 717477.5 days?\nAnswer: 1033167600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 424829, 850370, 1275913, 1701458, 2127005?\nAnswer: 2552554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 9*k - 8. Let j = 9 + 1. Let x be v(j). Let r = x - -29. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12189?\nAnswer: 3, 17, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2367.6 + 2382.6. Sort -15, -0.1, -1\/5, b, 4.\nAnswer: -15, -1\/5, -0.1, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2073 and -94809?\nAnswer: 96882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 44.03425 meters?\nAnswer: 44034250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 4*o + 10, x + 0*o = -2*o + 9. Suppose 342 = 5*i + q, -3*i + x*i = -4*q + 280. Calculate the greatest common divisor of 17 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-26)\/(-40) + 6\/(-15). Let s = 1111\/2216 + -3\/2216. Factor -s*d**2 + m*d**4 + 0*d**3 + 1\/4 + 0*d.\nAnswer: (d - 1)**2*(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 3*f**5\/160 - 3*f**3\/16 - 3*f**2\/8 + 411*f. Factor o(m).\nAnswer: 3*(m - 2)*(m + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*u - 2*a = 71*u - 6, 3*u - 3*a = 27 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of 8*q**2 + 7\/3*q**3 + 0*q**4 + 1\/40*q**6 + 0*q + 0 + 0*q**5. Differentiate v(d) with respect to d.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - g - 49 = 0, 13*f - 2*g = 14*f - 22. Solve -2*q - 15 = 5*h, 5*q - 11 = 2*h + f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1412 - -112003?\nAnswer: 113420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txxiucxxttxxcuxcxl. Give prob of sequence cul.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5*y**2 + 61*y - 10. What is t(14)?\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -118*w**2 - w - 74. Let a(d) = -299*d**2 - d - 149. Determine -2*a(h) + 5*b(h).\nAnswer: 8*h**2 - 3*h - 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**5\/9 + 20*c**4\/9 + 40*c**3\/3 + 200*c**2\/9 + 140*c\/9 + 4.\nAnswer: -4*(c - 9)*(c + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -307 (base 12) to base 6\nAnswer: -2011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4267692 and 581958.\nAnswer: 12803076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 13, -7, -2 in increasing order.\nAnswer: -7, -2, -1, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 558*d + 505*d - 268*d = 46110 for d.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10611128.\nAnswer: 2, 11, 17, 41, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 4*h + 5. Let z(r) = r - 1. Let f be 52\/(-6)*1*(-81)\/6. Let m = f + -113. Determine m*z(i) + v(i).\nAnswer: -i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 769 equal to 769?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**4\/13 + 38*y**3\/13 - 88*y**2\/13 - 152*y\/13 + 384\/13 = 0. Calculate y.\nAnswer: -2, 2, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -0.243, -840 in decreasing order.\nAnswer: 5, 4, -0.243, -840","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, h: 3}. What is prob of picking 2 h?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1140784871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -62713*t**3 - 867*t**2 + 867*t - 867. Let v(q) = 289*q**3 + 4*q**2 - 4*q + 4. Give 4*i(j) + 867*v(j).\nAnswer: -289*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 5 (c) -33 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -96027 + 152255. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 100706.2 + -100706. Let s = -6 + 5.4. Let i = s - -1. What is the second biggest value in o, 1\/7, i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204469845.\nAnswer: 3, 5, 13631323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**3 - 3*y**3 - y**3)*((1 + 3 - 5)*(1 + 1 + 0) - 1 - 2 + 4).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 171 + -159. Suppose -a**3 - 6*a**2 - 215*a + d*a**2 + 8 + 230*a = 0. Calculate a.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.19 - -0.31. Let m = k + -7.399. Round m to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 355925949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -8. Solve z*r - 15 = 5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2. Let g(y) = 494*y**2 - 19*y + 19. Let u(k) = 99*k**2 - 4*k + 4. Let r(l) = -4*g(l) + 19*u(l). Calculate b(r(m)).\nAnswer: -9025*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2 + 3*i + 1 + 0. Let c(s) = 8*s + 8. Suppose 2*v + 2*z = -3*v + 68, 4*z = 3*v - 46. What is v*t(d) - 5*c(d)?\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14327 - -1719257\/120. Let f = d + 1\/40. Put f, -4, 2\/5, -2\/5 in descending order.\nAnswer: 2\/5, f, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 1268790?\nAnswer: 1268785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 70. Let z be f(-11). Suppose -4*i + 161 = z. What is the lowest common multiple of 18 and i?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 3*n + 21, 2*n - 15 = -4*u + 3*n. Let g(a) = -a**3 + 4*a**2 - 2*a + 2. Let s be g(u). Solve -3*r + s - 17 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 72751*n**2 + 14*n + 40. Let s be x(-4). Round s to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3263086116 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1071\/476*16\/6. What is the greatest common divisor of p and 4530?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -31 + 14?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6251?\nAnswer: 7, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -12*r**3 + r**2 - 1. Let y be z(1). Let m = -6 - y. Suppose -t = t - m. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 c, and 1 e when four letters picked without replacement from cttctcetctttcw.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 9:35 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1 (b) -1\/8 (c) 2\/7 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*m - 6 - 5, -5*m + 11 = 3*f. Suppose 2*g + 5*l = f*g - 20, 4*l = -20. Let j = g + 13. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6760?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + g**3 - g)*(-5 - 4 + 41)*(-1 - 1 + 3).\nAnswer: 32*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -7896\/5 greater than -1578?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -54*g + 26. Give j(-2).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 613\/82 - 173335\/22386. Calculate the common denominator of -79\/429 and j.\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 11 - 146*m**3 - 2*m**2 - 5*m + 69*m**3 - 11 + 69*m**3. Let o(r) = 12*r**3 + 3*r**2 + 8*r. Let q = -1 + 9. Give q*z(i) + 5*o(i).\nAnswer: -4*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13281919 is divided by 1301.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14202, 14177, 14122, 14025, 13874?\n\"Answer: -2*u**3 - 3*u**2 - 2*u + 14209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wa when two letters picked without replacement from qqwqawwqqawqqaqqqqa.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = 4*n - 109. Suppose 4*m - 1995 = -n*b, 20 = 3*m - 7*m. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-6\/7))\/u)\/u*u**7*u)**18 assuming u is positive.\nAnswer: u**(774\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -14\/5, 0.1, -0.02, 5, 0.5, -305\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3 times -454.29?\nAnswer: -1044.867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7624163.6453 + -7626044. Let k = x - -1879.4546997. Let l = 0.9 + k. What is l rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.1, 114, 0.3, 1\/2, 0.06?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 461515 by 92303.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -904 + 1276 = 62*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/7)*l\/l**(-24\/5) assuming l is positive.\nAnswer: l**(208\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 152034540 (base 6) in base 9?\nAnswer: 5872716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 m when four letters picked without replacement from {m: 4, u: 2, c: 1, p: 4, x: 3, y: 3}?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -7. Suppose 2*g + g - w = 31, 0 = 4*g + i*w - 38. Calculate the remainder when (3\/3)\/(1\/29) is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, c: 7, k: 1}. What is prob of picking 1 g and 1 k?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4497947 is divided by 2746?\nAnswer: 2745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, k: 1, x: 2, g: 3}. What is prob of picking 2 g and 2 x?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 3. Differentiate -2*y**4 + 2*y**4 + 1 - 2 + 3*y**z wrt y.\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -127.92 - -128. Let m = h + -2.08. Which is the nearest to -2? (a) 0 (b) m (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4520 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + 29. What is the third biggest value in -0.3, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70852, -141701, -212550?\nAnswer: -283399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86146 divided by -72.\nAnswer: 43073\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 2*q = -4*p + 42, 3*p = 3*q - 93. Let w(x) = -7*x + 9. What is the units digit of w(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 34*p**2 + 8*p - 215. Is k(-29) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.17 and -21.6?\nAnswer: -3.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*z = 50*z - 142038 - 123682. What is the highest common factor of 169 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 74 + -2. What is the greatest common divisor of 108 and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1037*t**3 - 7 + 7 - 884*t**3 + 1709*t**3 + (-5*t**2 + 4*t**2 + 3*t**2)*(-4*t + 0*t + 3*t).\nAnswer: 1860*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2206.00002584 + 2206. What is x rounded to six decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4644)\/(-172)*43\/(-27).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71964211*g**2 + 69564709*g?\nAnswer: -143928422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/238*(-1 + -1)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**6\/360 - p**5\/40 + p**3\/3 + p. Let o(k) be the second derivative of c(k). What is the second derivative of o(r) wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = t - 11 + 8, 0 = 3*s + 15 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 + ((-15846)\/5460 - (-20)\/(-50)) and 79\/63?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*z + 21 = 29*z - 62*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-470)\/141*(-12)\/70?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 693\/2, 31, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633887?\nAnswer: 67, 9461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 510708 and 28620.\nAnswer: 22981860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + (-65)\/20 - (-1341)\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (1 + 22\/(-2)). Let v(w) = -w**2 + 8*w - 4. Give v(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*q + 35 + 1 = 0, 2*i - 16 = -2*q. What is the second derivative of 3*o - 9 + 9 - 2*o**i wrt o?\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w**3 - 49*w**2 - 33*w + 158. Give z(8).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 - 207\/27)*5442 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3783 - -3790. Solve -9*n + b = 43 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*w - 45*w = 46*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 12*r**3 - 3*r**2 + 54*r - 594. List the prime factors of o(9).\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -3, 610.\nAnswer: -5, -3, 3, 610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 3*a**2 - 6*a - 5. Suppose 7*w = -13*w + 100. Calculate u(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 1369*c**5 - 10545*c**4 + 22770*c**3 - 5130*c**2 + 405*c + 841. Factor x(z).\nAnswer: 5*(z - 3)**2*(37*z - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.1? (a) 1 (b) 0.3 (c) 4\/9 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 98*t + 5733. Give w(-37).\nAnswer: 2107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 345 and 483?\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1924740 to the nearest one hundred thousand.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/27 - (-114)\/27. Let a = -413 + 425. Calculate the highest common divisor of a and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**2\/2 + 93*v + 8649\/2 = 0.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -275*t**2 - 32*t - 24. Let s(x) = -596*x**2 - 66*x - 48. Let f(j) = -13*m(j) + 6*s(j). Give f(20).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 3:34 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293*r = -139*r + 770 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + z + 1. Let r(v) = -23*v**2 + 2*v + 3. Let h(a) = -r(a) + 3*x(a). Let w = 3 + 77. What is the remainder when w is divided by h(1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y + 7. Let r be (-166)\/((-4)\/(-1 + 3)). Let p = 95 - r. What is the remainder when t(7) is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 14 + 4 = 0. Let c(u) = u + 17. Suppose 5*y - 102 - 113 = 0. What is the remainder when y is divided by c(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -19 + 27 + (-7 + 6 - -1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of 3*q**6\/160 + 7*q**5\/40 - 7*q**4\/32 - 5*q**3\/4 - 2*q**2 - 38. Factor r(d).\nAnswer: 3*(d - 1)*(d + 5)*(3*d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -145 - (45 + (-133 - -16))\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (1 + sqrt(720)*1 - sqrt(720)))**2 + (1*((sqrt(720) - (sqrt(720) + 1 - sqrt(720))) + sqrt(720)) - (sqrt(720) + 0 + 2))**2 + 0)*-4.\nAnswer: -2932 + 288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/16 and -45\/52.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10 - 2)\/2*-1. Suppose 2*s = -s + g. Suppose 2*l = a - s*a + 256, 3*l + a - 382 = 0. What is the greatest common divisor of 14 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from tcubqcffb?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**2\/5 + 10782*u + 161712\/5 = 0 for u.\nAnswer: -26952, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2319 - -4635\/2. Which is the smallest value? (a) j (b) 5 (c) -7 (d) -3 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302*v + 5296*v - 137520 = -625*v - 111*v for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a - 11 = w - 39, -3*a + 4 = 2*w for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 + (-6 - -7) - 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -5*c**4\/6 - 62*c**3\/3 - 21*c**2. What is the derivative of t(u) wrt u?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*k + 232 + 514 = 0, -2*k = -2*c + 746. Let u = -245 + c. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 7:14 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 56*c + 576. Let s be j(12). What is the greatest common divisor of s and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.679705t in milligrams?\nAnswer: 679705000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1271617 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*o + 24*o - 19*o.\nAnswer: 36*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66*1444.\nAnswer: -95304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(60)\/sqrt(4))\/((sqrt(405)*1 - sqrt(405)) + sqrt(405)).\nAnswer: 2*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 689726.\nAnswer: 2, 344863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + -3 + 1*sqrt(700) + (6*sqrt(700)*-2)**2.\nAnswer: 10*sqrt(7) + 100795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1268508 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11197084213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-8\/3))**(1\/43)\/(p\/(p*p*p**(2\/13))*p)**49)**(-1\/3) assuming p is positive.\nAnswer: p**(-12538\/5031)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50098, 50091, 50070, 50029, 49962, 49863, 49726, 49545?\nAnswer: 49314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (884 + 1136 - 1592)*(-7 + 20 - 13 + 79*t).\nAnswer: 33812*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65 + 26. Let h = 41 + j. What is the highest common divisor of h and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8366, 8352, 8350, 8366, 8406, 8476, 8582, 8730?\n\"Answer: w**3 - 21*w + 8386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*111.0913.\nAnswer: 2.221826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -94?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 164 and 32.\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + r + 16 = 0. Let v(b) = -2*b**2 - 8*b + 11. Let t(j) = 4*j**2 + 16*j - 21. Let q(a) = r*t(a) + 7*v(a). Is q(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2\/7, 7, 5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6864, 13712, 20560, 27408?\nAnswer: 34256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**3 + 321*q**2\/2 + 40*q = 0. What is q?\nAnswer: -80, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/24 and 31\/232.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1426, -1468, -1544, -1660, -1822, -2036, -2308, -2644?\n\"Answer: -s**3 - 11*s**2 - 2*s - 1412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.1 - -4.1. Let g = d + -7.1. Let p = -0.1 - g. Which is the closest to p? (a) 5 (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2428727 is divided by 478.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 5*k**2 - 2*k - 3. Let b be w(4). Let i = b - -29. What is the second derivative of -464 - 18*p**i + 464 - 18*p wrt p?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.442613 decades to months.\nAnswer: 53.11356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-1 + 0 + 2 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122383789 to the power of 1\/2, to the nearest integer?\nAnswer: 46069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (42\/39)\/(4\/104). Solve -2*x + 9*x = -l for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (9 - 29\/6)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*f - 28, 0 = -v + 2 - 3. Solve -f*i + 12 = -4*k, -10*i + 9*i = 4*k - 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -436, -876, -1328, -1798, -2292, -2816?\n\"Answer: -c**3 - 433*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/6*(-7)\/(-28)*-9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2 + w - 2. Let b = -75 + 25. Let y = b + 44. Let v be (-6 - y) + (4 - 2\/2). What is i(v)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38.8 - 38.7. Which is the nearest to -0.2? (a) -2\/5 (b) s (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 23975, 23976, 23979, 23984?\n\"Answer: u**2 - 2*u + 23976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8316\/(-48))\/(-11)*20\/140?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 9*y**2 + 20*y + 6 + 5*y - 28*y + 2*y - y**3 + 7. Give a(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**3 - 50*o**2 - 245*o + 969. What is b(20)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 1 (b) -0.1 (c) -0.3 (d) -0.78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 11*w + 1. Determine m(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5\/10 + 0 + (-402)\/(-4) is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*t - 11 - 9 = 0, 4*s + 2*t = 8. Suppose -2*w = -2*a - 543 + 19, s = -2*w + 3*a + 526. Does 38 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {u: 3, t: 15}.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*-2*-4 + -5.\nAnswer: -5 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**8\/6720 + r**7\/420 - r**6\/240 - r**5\/30 + r**4\/12 + 3*r. Let l(z) be the third derivative of w(z). Calculate l(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 1134.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/((12464\/(-190))\/(-41)*540\/16)?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*((c**(1\/5)*c)\/c*c)\/c*c)\/c)**(-32))**(1\/45)*((c**(-2\/9)*c)**(1\/14))**(-27\/2) assuming c is positive.\nAnswer: c**(-481\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4795985?\nAnswer: 5, 101, 9497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2707.86763 rounded to the nearest 10?\nAnswer: -2710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/26 - (-19)\/247. Suppose -3*u - 24 + 3 = m. Let l(a) = -a**2 - 6*a + 7. What is l(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 - 2 + 40202*u - u**3 + 15 - 40202*u.\nAnswer: -u**3 + 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -697\/2 - -355. Is 7 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7477497*j + 59819978. Give t(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/10654855 and -35\/70322043.\nAnswer: 351610215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -608*q - 599*q + 1224*q - 727039 = 0. List the prime factors of q.\nAnswer: 42767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 7*b - 4. Let u = 15 + -9. Let h be o(u). Let g(y) = -2*y + 2. Give g(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, j: 4, s: 2, f: 4, o: 2}. Give prob of sequence jee.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 41818530791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51 and 9?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24202786 to the nearest integer?\nAnswer: 4920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*(o*o\/((o**(2\/7)*o)\/o)*o*o)\/o)\/o)**(-15\/8)\/(o**(-1\/4)*o**(-3)))**(1\/31) assuming o is positive.\nAnswer: o**(-103\/1736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) -0.05 (c) 3.6 (d) -0.216\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 322*o - 120*o - 30906. Calculate the remainder when 915 is divided by o.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uwwb when four letters picked without replacement from wuuuuwwuwuubuwwuvww.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/3785 and -65\/1187733.\nAnswer: 5938665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.14511 to two decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100010 (base 2) to base 11.\nAnswer: -138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(-2700)*63*-2?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and 4.32.\nAnswer: -34.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 41889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11384, 11507, 11594, 11633, 11612, 11519, 11342?\nAnswer: 11069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -32\/85, -6, -0.3, 2\/5?\nAnswer: -32\/85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 0*d**4 - 7*d**2 + 2\/3*d**3 + 0*d + 0 + 2\/15*d**5. What is the derivative of j(h) wrt h?\nAnswer: 16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(104) + (sqrt(104)*-2 - sqrt(104)))*-3 - sqrt(104))*4)\/(sqrt(48)\/(sqrt(66)\/(sqrt(11) + sqrt(55)\/sqrt(5)))) + 4.\nAnswer: 4 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oip when three letters picked without replacement from {k: 1, o: 2, r: 2, p: 1, i: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*g**3 - 16 - 12 + 212*g**3 + 54 - 18 as t*g**3 + l*g**2 + b*g + y and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -n - 5*g + 27, 2*g - 9 = -n. Let s(m) = 8*m - 2. Let v be s(n). What are the prime factors of v*2\/(-5) - -175?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013198915 to 5 decimal places.\nAnswer: -0.0132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 + 29.2. Let w = -21.1 - -18.1. Let s = d - w. Put -0.5, s, 1\/2 in decreasing order.\nAnswer: 1\/2, s, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 + 7*u**2 + 8*u**2 - 15*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 10 + 10 + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 102859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41246 (base 10) to base 9.\nAnswer: 62518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/103, -2\/23, 5.\nAnswer: -2\/23, -2\/103, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-54)*-51 + 1\/3 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -10*r**3 + 3*r**2 + 2. Let a(w) = -w**3 + w**2. Let o = -2119 + 2118. What is o*x(t) + 3*a(t)?\nAnswer: 7*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1794154 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/(-24)*4 + 50\/(-30)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*z = 31, 11 + 4 = -5*p - z. Let h be p\/7 - (-23)\/7. Suppose 0 = 5*j + 15, h*d - 4*j - 15 = 57. Calculate the remainder when 79 is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 q when three letters picked without replacement from {r: 2, h: 1, q: 2, w: 1, j: 1, l: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75023.\nAnswer: 13, 29, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.4, 52, -6\/13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/13, 10, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((2 + sqrt(1539))*6)**2*1 + (sqrt(114)*3*-6)\/(sqrt(6)*4*-3).\nAnswer: 2595*sqrt(19)\/2 + 55551","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 2 + 1 - 1 + 2 + (-4 + 6 - 4)*(-2 + 2 - 2) + 2 + 1 - 5)*(-2*g**2 + 0*g**2 - 2*g**2) as n*g**2 + l*g + m and give n.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 x when three letters picked without replacement from ixtiixxixiiixtxiiii?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5854267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 160807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*1*sqrt(35))\/(-5*sqrt(63)))**2 + ((sqrt(720) - (sqrt(720) + 2)) + sqrt(720) - (-2 + sqrt(720))**2).\nAnswer: -3626\/5 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t + 7. Calculate y(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(9\/5))**(3\/19))**11 assuming g is positive.\nAnswer: g**(297\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -26.9 (c) -27.1 (d) 4 (e) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -488 + 31*g**5 + 488 + (0*g - 5*g**4 + 0*g)*(-4*g + 0*g + 2*g) + 0*g**5 - g**5 + 0*g**5.\nAnswer: 40*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 114*c - 832. Let o be m(-106). Calculate the highest common divisor of 812 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) 1\/34 (c) 4 (d) 5 (e) 53 (f) -7805\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + (3*((sqrt(65) + 1*sqrt(65) - sqrt(65)) + sqrt(65))*4)\/((((2*sqrt(75) - sqrt(75) - sqrt(75)) + sqrt(75))\/sqrt(3))\/sqrt(5))).\nAnswer: -144*sqrt(13) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/30 and 31\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1467, 2, 8, -4 in decreasing order.\nAnswer: 1467, 8, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 1. Let x = 18 - 16. What is the third derivative of -x*f**3 + v - 2 + 4*f**3 - f**2 wrt f?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14 - 10 - 13\/1. Let z be (-100)\/(-105) - 1\/w*-6. Which is the nearest to -2? (a) -2 (b) 2\/19 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 1. Let j(x) = 9*x - 12. Let s(h) = -j(h) - 12*w(h). Let l be ((-6)\/9)\/((-2)\/6). Let b(v) = -5*v**2 + 3*v**2 + 0*v**l. Determine b(s(y)).\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/((-95)\/(-76)*(-8)\/(-30)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, r: 4, y: 11}. Give prob of sequence ryr.\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5369*a + 5370*a + 5373*a - 16108*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**2 - 6*s**3 - 3 + s**4 + 2*s - 2*s**3 + 11*s**2 - 13*s**2 in the form x*s**4 + t + l*s**2 + a*s + n*s**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 0. Let d(s) = -19793*s**2 + 12*s + 2. Let b(m) = -9897*m**2 + 5*m + 1. Let q(f) = 7*b(f) - 3*d(f). Let y be q(i). Round y to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 7*p + 6. Suppose -p*m + 70 = v + 18, 3*m - 2*v = 49. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -x**7\/42 - 3*x**6\/10 - 7*x**5\/10 - 175*x + 1. Factor r(z).\nAnswer: -z**3*(z + 2)*(z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 878286 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 d when three letters picked without replacement from qqdbqdbbbbqabqbb.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 3*l + 10. Let y(z) = z**2 + 2*z - 9. Suppose 3*i = 2*i + 5*m - 24, 2*m = -i + 4. Let u(r) = i*y(r) - 3*h(r). What is the units digit of u(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 7 = 4*a. Solve 5*b + 18 - 5 = 3*p, -a*b = -p + 9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32301, -41428, -56641, -77940, -105325, -138796?\nAnswer: -178353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -4, 1, 22 in decreasing order.\nAnswer: 22, 1, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**4 + 127*c**3 + 753*c**2 + 1521*c + 891 = 0.\nAnswer: -99\/4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 192910 to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1175 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/16? (a) -5 (b) 1\/2 (c) 10 (d) -26 (e) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13203*-0.3.\nAnswer: 3960.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.082 and -2.\nAnswer: -0.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 188.8 - 188. Which is the nearest to -1\/6? (a) -0.5 (b) s (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28796*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(96\/(-4))*4\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72300 is divided by 285?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v - 5. Let r be y(5). Suppose r = z + 3*z - 120. What is the greatest common factor of 12 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 14*d + 35. Let l be h(-3). Differentiate -39 - 31*y**3 + 82 - 42 + l*y with respect to y.\nAnswer: -93*y**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3149711684.\nAnswer: 2, 7, 3181, 35363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/25 of a millennium?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2686\/193 != 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 15. Let w = 230 + t. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3291862*i - 6583723*i + 3291863*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 2266?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + b**2 + b - 1. Let p(m) = -4*m**3 + 4*m**2 - 12*m + 8. Let g(h) = p(h) + 3*z(h). What is g(6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299543.\nAnswer: 59, 5077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 430 divided by -811\nAnswer: -430\/811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -10 (b) 9 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*z + 169971 = 0, 39*z = -v + 44*z + 56674. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6032 is divided by 85.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -519 + 539. What is the greatest common divisor of h and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1911229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 398149 - 501?\nAnswer: 397648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 106\/((194\/1552)\/(2\/(-32))).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -7 + 1. Does 28 divide (52 - 10)*2\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2752 is divided by 307?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by 274.\nAnswer: -17\/274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11cdb2 + 0?\nAnswer: -11cdb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*b**3*d*n + 7*b**3 + 3727*b**2*d*n - 48194*b**2 + b*d - 2*n wrt d.\nAnswer: 10*b**3*n + 3727*b**2*n + b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.33 + 0.07. Let l = 0.015 + -1.715. Let q = h + l. Sort q, -3, 1.\nAnswer: -3, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, t: 1, a: 4, x: 2, g: 4}. Give prob of sequence ga.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -3b5a?\nAnswer: -3b55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0731 and 550263.\nAnswer: 550263.0731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 6:44 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4*x + 2256, 0 = 2*x - 5*t - 1198 + 63. Suppose h + 3335 = -x. What is h rounded to the nearest 100?\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/4776864 and 197\/1020?\nAnswer: 23884320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*d = -2*y - 111, 0 = -4*y - 3*d - 195. What is y rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, h: 3, n: 1, g: 10}. Give prob of sequence ghhn.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2016665.572 and 1.32.\nAnswer: -2016664.252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + v + 4 - 4 + v + 4 + (v + 2*v - 5*v)*(1 - 3 + 1) + v - 1 - v + 2*v to h*v + k and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8366 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 64\/176 + 84\/(-110). Which is smaller: s or -1\/543?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2175602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 10:58 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -58689354 equal to -58689348?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = 1 - 19. Let c(s) = -j*s + 2*s - 1 - 3 - s**2 - 2*s. Give c(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64 + 144*b + 39*b**2 - 10*b**3 - 36*b**3 - 3*b**4 - 198*b**2.\nAnswer: -(b - 1)*(b + 8)**2*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11101211110122 (base 3) to base 5\nAnswer: 1044321343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 26 = 5*z, -z + 6 - 2 = n for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + 743 - 743.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f**3 - f**2 + f. Suppose -2*w + 11 + 13 = -4*t, 0 = 3*w - 2*t - 16. What is the least common multiple of w and m(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17.8 - -56.8. Let n = -107.8 - -70. Let u = o + n. Which is the second biggest value? (a) 2\/11 (b) -4 (c) u (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hlllhlllhh. Give prob of sequence hl.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 140721 bigger than 140708?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**4 - 30*a**3 + 80*a**2 + 120*a - 352 = 0 for a.\nAnswer: -2, 2, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**4\/12 - 5*i**3\/6 + 7*i**2. Let p be t(-4). Suppose 6*w - 3 = p*w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**5\/60 + s**4\/3 + 7*s**3\/6 - 5*s**2. Let r be l(-7). Solve r = -2*c - 0 + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + v = 0, 3*n + 0*v - v = 8. What are the prime factors of (3 + 26)\/n - -4?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3404 by -148.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 28, 1\/3, 10, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 12 = -6*k. Suppose 0*q + q - 1501 = -k*r, -3*r - 4548 = -3*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * -0.1135.\nAnswer: -0.00227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m - 8 + m**2 + 13 - 3*m. Let z be t(-4). Is 9 a factor of 0 - (-7)\/(z\/72)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 1923.\nAnswer: 7692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*q - 20. Let f be 4\/(-20) + (-18)\/q. Let k be f + -1*(0 + 1). Put -6, k, -5 in descending order.\nAnswer: k, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14004 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 + 0 - 1 - 14*l**2 + 4*l**2 - l**2 - 2*l**2 + (0*l + 2*l + 0*l)*(0*l + 3*l - 4*l).\nAnswer: -15*l**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-78))\/((-408)\/5746)*5*(-30)\/(-25)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1011000001101010110 (base 2) to base 12\nAnswer: 155106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*v, -l - 30*v = -32*v - 5988. What is the thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*v**2 + 5*v**2 - 17*v**2 + (4 - 1 - 1)*(v**2 + v**2 - v**2) to the form a + n*v + y*v**2 and give y.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -14365 (base 7) in base 3?\nAnswer: -12102221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8368354 is divided by 557.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -8, 3*o = 2984*g - 2986*g - 23 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.32 + -2.68. Which is the closest to -0.1? (a) t (b) 6 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140394 (base 13) to base 2.\nAnswer: -1110110101100010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*k + 1958 - k**2 + 6*k + 12*k.\nAnswer: -k**2 - 8*k + 1958","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 421448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 180 and 7340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2108 and 204.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (2 + -39 + 25 + (50 - 0))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34818779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1291 times -10658\nAnswer: 13759478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**5\/10 + f**4\/12 + f**2 + 12*f. Let b be c(0). What are the prime factors of 3 - 20\/(-8)*b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18362030 to the nearest integer?\nAnswer: 4285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(-1)\/u))**(2\/51))**(-31)\/((u**(-1))**(-2\/147))**(26\/9) assuming u is positive.\nAnswer: u**(-55568\/22491)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34323324 by -276801.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {d: 4, f: 2, k: 6}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 - 146927*q + 2644028. Give s(18).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 14 - (-10)\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.4, 0, 2281, -5, -0.079?\nAnswer: -0.079","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 g, and 1 k when four letters picked without replacement from {x: 6, a: 4, g: 5, k: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 317.07 * -0.2.\nAnswer: -63.414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113774.\nAnswer: 2, 163, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -844, -865, -912, -1003, -1156, -1389, -1720, -2167?\n\"Answer: -3*q**3 + 5*q**2 - 15*q - 831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -63, -124 in descending order.\nAnswer: -2, -63, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*x - 998 = 0, -5*j - x + 2695 = -2379. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9039*l + 180 + 60 = -9023*l for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 727 = 211. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -132 - -607663?\nAnswer: 607531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -178 - -334. List the prime factors of x.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dlabjjn. Give prob of sequence jj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 6*i**2. Let f be o(6). Suppose -u - 3*u + 5*l + 172 = f, 8 = -2*l. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -154, 0, -1249\/2?\nAnswer: -1249\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (78\/22490)\/((-105)\/(-100) + 0). Is o equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 499983038 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**1*p)**(-2\/3))**(9\/4)*(p*p**(2\/7)*p**(-2))\/(p**(1\/6)*(p*p**(1\/4)*p)\/p*p) assuming p is positive.\nAnswer: p**(-641\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -285605 divided by 57121?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbbagggxw. What is prob of picking 1 x and 1 g?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(84) - (sqrt(84)*-2*-2 + sqrt(84))) + (3*sqrt(84)*-1 - sqrt(84)))*-3)\/(6*sqrt(144)\/(sqrt(48)\/sqrt(4)*2)))**2.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3*-9*608\/(-57)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85917*s**2 + 85917*s**2 + 3*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258564.\nAnswer: 2, 3, 29, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 24 + 34 = 2*k, 0 = 2*p + 5*k - 58. Let w = -18 + p. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 851 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*p - 276*p - 1229 = -373 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 426087 smaller than 426020?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c + 4*c + c + (-2 + c + 2)*(3 - 2 + 1) - 2*c - 2*c + 2*c + (2*c - 4*c + 3*c)*(2 + 1 - 5)*(3 + 1 - 5)*(-13 + 0 + 8) to r*c + b and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(-2*sqrt(405)).\nAnswer: -sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + ((-12)\/(-90) - (779\/105 + -3))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((1*(-3 + (sqrt(468)*-2 - sqrt(468))))**2 + 3 + sqrt(468)*-2 + sqrt(468)*-2*-3) + -5)*2.\nAnswer: -42250 - 1320*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3041 + -112?\nAnswer: -3203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of g**3\/2 - 41*g**2\/2 - 4*g + 165. Let l(o) = -o. Give m(l(c)).\nAnswer: -3*c - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5711964?\nAnswer: 2, 3, 475997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 945877 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8337, -8104, -7859, -7602?\n\"Answer: 6*g**2 + 215*g - 8558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5034, 5035, 5036, 5037, 5038, 5039?\n\"Answer: n + 5033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 242274 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 32149?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*i + 14*i - 38*i + 17*i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 4120162\nAnswer: -2\/2060081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2292, 18399, 62106, 147213, 287520, 496827?\n\"Answer: 2300*t**3 + 7*t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(126)\/sqrt(3))\/sqrt(6)*-3 + (sqrt(84)*-2*-3)\/(sqrt(12) - sqrt(1452)*1).\nAnswer: 72*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 1 - 5 - 3 + 2 - a. Let r(z) = -1 - 8 - 2*z + 0*z. Let t(u) = -7*k(u) + 4*r(u). Let l(b) = 2*b + 2. What is 4*l(v) + 9*t(v)?\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**5\/o*o*o**(-1)\/o*o*o*o**1\/o**(-2\/5))**(-1\/65) assuming o is positive.\nAnswer: o**(-32\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262873403.\nAnswer: 13, 613, 32987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ay when two letters picked without replacement from azaayyyaayaal?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (342\/(-26))\/((-3)\/(-24)). Let d = -30369\/286 - s. Calculate the common denominator of (-55)\/(-132)*(92\/(-10) + 1) and d.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = w + 5. Does 2 divide -1 + 4 - w*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2769 divide 1897318800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - 33. Let l(j) be the first derivative of -5*j + 1 - 3\/2*j**2. Calculate l(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -316, 6\/5, -2\/5, -0.3, 196.6 in increasing order.\nAnswer: -316, -2\/5, -0.3, 6\/5, 196.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 48 = 18*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by -110014.\nAnswer: 25\/110014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2150 or 1.131?\nAnswer: -2150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 8:20 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jsxsjssxsjxsbsbsjgbj. What is prob of sequence gbb?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00555669 to four dps.\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 7*m - 13. Let l be w(3). What is the third biggest value in -6, 0.2, l?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) 0.1 (c) -0.2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 352?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m + 59. Let n be s(19). Let w(g) = 8*g + 3. Let u be w(-2). Let b = -8 - u. Solve -5*a + b*f - 20 = 0, 4*f - 10 = -n*a - 0*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 478\/25 - 493\/25. Which is the nearest to 0.1? (a) 9 (b) 5 (c) s (d) -7\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k - 1807 = 7223. Let h = 610 - k. Solve 4*r - h*r + 20 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16106 (base 7) to base 13.\nAnswer: 2093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3506920981?\nAnswer: 367, 9555643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.99 - -1. Let l = 7.21 + -7.6. Let g = l - t. Which is the second biggest value? (a) g (b) 1\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 6, -t = 5*p - 2 + 4. Let v be (-3)\/(-9)*(-15)\/p. Solve 2*f + 26 = v*a, 0 = 3*a + 5*f + 3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (351\/((-185328)\/10912))\/(3*4\/18)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (67 + 176)\/(-1701) + (-295)\/(-7)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -2. Suppose 3*p + i*o = 21, 4*p - 4*o + 9 = -3. Which is smaller: 1\/3 or p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 0.06586941?\nAnswer: 2.06586941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 758382 or 758379?\nAnswer: 758382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - -86. Let m = x - 4. Let k = -93 + m. What is the highest common divisor of k and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.112014 plus -17.248776?\nAnswer: -43.36079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -851\/960 - -29\/64. Calculate the common denominator of f and 76\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 21 = -3*r, 13 = 3*k + r - 2. Suppose -k*m - 5*w = -4, -1 = -m - w + 5*w. Let a be (-252)\/(-21)*m\/3. Is 8 less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b + 114 + 37 + 10 + 3*b + b - 5*b + (-5 + 0 + 3)*(1 - 2*b - 1) - b + 0*b + 0*b - 4*b - 6 + 6 - 4 + 3*b + 4 to s*b + m and give m.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12309 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**8\/420 - l**7\/70 - l**6\/6 - 17*l**5\/30 - l**4 + 5*l**3\/3 - 12*l**2. Let z(k) be the first derivative of y(k). Factor z(a).\nAnswer: 4*(a - 6)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 265*q - 2. Is u(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-7)\/5 - -1)*(0 - 10). Suppose 5*g + 15 = 0, -1 = d*c + 5*g - 26. Calculate the remainder when c is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2346704, 9386824, 21120356, 37547300?\n\"Answer: 2346706*j**2 + 2*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -15, 4*p - u + 40 = -233. Let g = 9 - p. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*r - 3*r. Suppose r*s - 3 = 5*s. Suppose f = 3 + s. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 - (99\/(-11) + -42)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 12*q. Let n(d) = -d. Suppose 0*u = -y + u + 4, -25 = -5*u. What is y*n(g) + s(g)?\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 4*d + 5*d + (4 - 2 - 1)*(-14*d + 4*d + 5*d))*(5 - 1 - 1 + (6 - 3 - 2)*(-1 - 2 + 4) - 2 + 0 + 0 + 3 - 1 - 1).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 120 = -13*u. Let i be 1*3\/((-6)\/(-8)). Solve -3*t - u = t, 3*n + i*t + 18 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 10:26 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 40 = 3*b, -q - 2*b = -3*b. Let o(g) = 2*g + q*g - 5*g. Let n(k) be the second derivative of k**4\/12 + k. What is n(o(l))?\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -275*b - 42912. Determine x(-156).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -128 - -234. Find the second derivative of 3*s - y*s**3 + s + 106*s**3 - 7 + 8*s**4 wrt s.\nAnswer: 96*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 3677*i**6\/3 + 1209*i**2 - 7840. What is the second derivative of w(h) wrt h?\nAnswer: 147080*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 15 = -6*a. Solve -a*k = t - 3 + 30, 4*k = 4*t - 12 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -333456 + 331249.948. Let d = g + 2210. Let s = d + -4. What is s rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 155, -9, -1, -2, 5, 6 in ascending order.\nAnswer: -9, -3, -2, -1, 5, 6, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1124760, -1124966, -1125172, -1125378, -1125584?\n\"Answer: -206*k - 1124554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33978\/6889 or -6?\nAnswer: -33978\/6889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**3 + 66*t**2 + t + 20. Determine l(-22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 183029, 732177, 1647427, 2928779?\nAnswer: 4576233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 630\/(-160) - 9\/144. Let o(k) be the first derivative of 2*k**3\/3 + 3*k**2 + k - 3. Calculate o(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 9. Let b(y) = -10. Let c(j) = -4*b(j) - 5*i(j). Suppose 2*w - 84 = -28. Let z(p) = -4*p**2 - 20*p**2 + w - 4. Determine -14*c(f) - 3*z(f).\nAnswer: 2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3*j**9)**(-29) assuming j is positive.\nAnswer: j**(-348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 44*x + 1075. Determine w(-19).\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282 = 208*m - 255*m. Calculate the remainder when 40 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (324\/(-108))\/(3\/7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(196) - (sqrt(196) - 1*sqrt(196)))\/(-4*sqrt(10)\/sqrt(5)) + -4)**2.\nAnswer: 14*sqrt(2) + 177\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 136 = 2*g. Let l = -26 - g. Solve -m = -5*w - 2, -m - l = -5*m + w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzw when three letters picked without replacement from {w: 1, z: 1, m: 2, k: 2, h: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2003 (base 9) to base 6.\nAnswer: 10433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -21, -5, -49, 5, -124, -3 in descending order.\nAnswer: 5, -3, -4, -5, -21, -49, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/((-13975)\/(-86)) - (-1)\/(150\/88)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/4*b**2 + 9\/4 + 3\/2*b = 0. Calculate b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z**2 - 17*z + 10. Let j(r) = -5*r**2 + 22*r - 9. Let p(y) = 5*j(y) + 6*u(y). Calculate p(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -8706\nAnswer: 2\/4353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -13102030 (base 4) to base 10\nAnswer: -29836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24422 + -4442?\nAnswer: 15540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119766 is divided by 7044?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 3:01 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**6\/720 + n**5\/45 + 7*n**4\/48 + n**3\/2 + 596*n**2. Factor w(u).\nAnswer: (u + 2)*(u + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.95 + 0.05. Let x = 8 - l. Put 0.3, x, 0.1 in descending order.\nAnswer: x, 0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + v - 2*v)*(1 - 4 - 2).\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -40355512.8473?\nAnswer: 40355512.9473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m**3 + 12*m**2. Let t(y) = -66*y**3 - 156*y**2. Give 27*q(h) + 2*t(h).\nAnswer: 3*h**3 + 12*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -3, -22, 0.3, -0.1, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1.2+-0.0777996\nAnswer: -1.2777996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -69419 less than -4?\nAnswer: 69415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 143.4 + -148.4. Suppose 8*g - 5*g - 18 = 0. Which is the biggest value? (a) g (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1719037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*o - 5*o - 2228 = -584 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 3*b + 2. Let k be u(-3). Let x(h) = 2*h**2 - 5*h + 5. Let t(p) = p**2 - 2*p + 2. Determine k*x(f) - 5*t(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 k when three letters picked without replacement from {c: 1, k: 8, m: 9, o: 1}.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3255*d + 55248. Give p(17).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**5 + 3071*j**4 - 2346974*j**3 - 16582718*j**2 + 2346975*j + 16579647 = 0. What is j?\nAnswer: -7, -1, 1, 1539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 4*r - 19 = 12, 0 = -g + 4*r + 13 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -203*v**2 - 3*v. Let z(s) = -609*s**2 - 10*s. What is 7*k(h) - 2*z(h)?\nAnswer: -203*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1054435 is divided by 38963?\nAnswer: 2434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -131*y**2. Let d(m) = 19*m. Give d(i(q)).\nAnswer: -2489*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y - 157. Let w(s) = 87*s. Determine w(j(o)).\nAnswer: 261*o - 13659","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-14) - (15\/(-21))\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8623287 divided by -319381\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -214*h**2*q*w**2 + h**2*q*w - 12*h**2*w**2 + 123*h*q*w + 37*h - q*w wrt w.\nAnswer: -428*h**2*q - 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from olvvttjl. What is prob of picking 1 v and 1 t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 + 44. Let h = n + 4. Let z(p) = -p**2 + 5*p - 1. Let o be z(4). Solve o*u - h = -3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*k + 5 - 20 = 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*i - 130*i = -210. Let g be (63\/i)\/((-1)\/(-2)). Solve g*r - 4 = 4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102 divided by 420024.\nAnswer: -17\/70004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.17 (b) -5 (c) 11.1 (d) -3\/2 (e) 2\/7 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 5:39 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*a**2 - a**2 + 6*a**2)*(-2*a + 2 - 2) + 2 - 2 - a**3 - 118*a**3 - 35*a**3 - 119*a**3)*(a**2 - 3*a**2 + a**2).\nAnswer: 277*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*y + 1932 = 310 - 2032 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -189424.\nAnswer: 1325968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence acw when three letters picked without replacement from {c: 2, h: 3, a: 2, s: 4, w: 2}.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l = -3*y + 15, -4*l + y - 3481 + 3506 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 498081826?\nAnswer: 2, 11, 22640083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 5*t - w - 18, 3*w = 5*t - 95. What is the greatest common factor of t and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1203323 - 1003030?\nAnswer: 200243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 10) to base 13\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - x - 2. Let u be a(2). Suppose 4*n - 6 = n. Find the second derivative of -h + 3*h**2 - 2*h**n + u*h**2 wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 82551 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2421.43 * 51\nAnswer: 123492.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -4*m + 8*h - 10, -4*m + h - 18 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/5 - 94*i**2\/5 + 62*i\/5 + 5766.\nAnswer: 2*(i - 31)**2*(i + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 61*r - 173. Let o be q(58). Let g(s) = -8*s + 3. Let k(l) = 1. Calculate o*g(z) - 2*k(z).\nAnswer: -8*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 4*b + 5. Let k be n(-4). Suppose -5*d - 5*c + 60 = 0, -k*d + c + 48 = 2*c. What is the remainder when 16 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**5 + 0*o**5 + 2*o**5 + (-2*o + 2*o - o)*(0*o**4 - o**4 + 3*o**4 + (-o + 6*o - 3*o)*(-o**3 - 2*o**3 + o**3)).\nAnswer: 3*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -314a55 (base 14) to base 15.\nAnswer: -22d484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 19, -14, -75, -170, -305?\n\"Answer: -h**3 - 8*h**2 - 2*h + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrrvrvyrvrvrr?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 3*k - 1061, 0 = -5*z - 14*k + 13*k + 1318. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55103030 (base 8) to base 6\nAnswer: 1101324132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 42\/21 + (-664)\/2. Let f = 573 + b. Round f to the nearest ten.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1120\/48*(-16)\/(-40)?\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**4)\/i*i**(2\/3))**49*(i\/(i*(i*i**(-3\/4))\/i)*i*i**1)**10 assuming i is positive.\nAnswer: i**(-815\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 530.7 + -555. Let l = 24.7 + q. Let c = -13 - -13.5. Which is bigger: l or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 110, 0.06, -2\/7, -5, 4, 6, -27 in decreasing order.\nAnswer: 110, 6, 4, 0.06, -2\/7, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*((-9)\/((-36)\/(-16)) - -5). Let z(v) = -5 - 10*v**3 + f*v**2 - 8 + 4 + 11*v**3. Determine z(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -13 + 0*m - 6*m - 3*m + 9*m - 3*m + 2*m**2. Calculate d(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c**2 - 69. Let d(r) = 7*r**2 + 4*r - 8. Let w(o) = o**2 + o - 2. Let x(s) = d(s) - 4*w(s). Give x(u(b)).\nAnswer: 27*b**4 + 1242*b**2 + 14283","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 2472.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-8) + (-770)\/88 + 22. Solve -19*a + 12*a = h for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ae187e (base 15) in base 12?\nAnswer: 2947902","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-1 + sqrt(931))*6)**2.\nAnswer: -504*sqrt(19) + 33554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 890, 1008, 1240, 1622, 2190, 2980?\nAnswer: 4028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8258?\nAnswer: 2, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is af0958 (base 16) in base 12?\nAnswer: 3a12508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 21982 = -5*g + 3*n, g + 2*n - 4406 = 0. Let k be g\/90 - 4\/(-30). Suppose k = 4*j - 15. Solve -2*v = -6*v + j for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, w: 1, g: 2, u: 4}. Give prob of sequence hwu.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 h when two letters picked without replacement from ashwe.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**5\/7 + 3219*g**4\/7 + 113823*g**3\/7 + 217985*g**2\/7 + 107382*g\/7 = 0.\nAnswer: -33, -1, 0, 3254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 28 + -f?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 287475449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + 2. Let d(l) = -27. Let g(b) = -d(b) + 2*r(b). Let f be g(11). Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261*x + 4*q = 263*x, 4*x = -2*q. Let b(t) be the second derivative of 0 + 1\/2*t**4 + x*t**3 + 0*t**2 - 10*t. Let h(n) = -2*n**2. Calculate b(h(m)).\nAnswer: 24*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 1 - 121*t**2 - 57*t**2 - 18*t**2 - 21*t**2. Let r(u) = -2*u**2. What is r(b(l))?\nAnswer: -94178*l**4 + 868*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.72 rounded to zero decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -5. Suppose -g*v = -1 - 14. What is the highest common divisor of v and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from mzlkzlmllz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 99887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2117833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 140264251?\nAnswer: 140264250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -62 - (3489 + -3431 + -1 + -78)\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2172743786 divided by -2\nAnswer: -1086371893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w + 5. Suppose 3*p - p = 3*y - 8, -33 = -3*y - 3*p. Let n = y - 8. Let f(r) = 1. Let q(s) = n*a(s) + 4*f(s). What is q(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1956152872 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -72 (b) 0 (c) 417\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**5 + 1 - 1 + (70*s**5 - 27*s**5 + 62*s**5)*(5 + 1 - 9).\nAnswer: -316*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(3 - 3 + 2*i**2) - 6101*i**2 + 5461 - 5461.\nAnswer: -6103*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 975 - 7580*h + 10885*h - 5048 wrt h.\nAnswer: 3305","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 83*g**2 + 88*g**2 + 39*g**2 + 2*g + 28*g**2 to the form j*g**2 + y + r*g and give j.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 32590425, 65180853, 97771281?\n\"Answer: 32590428*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 1:20 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 5 - 1)*(-44)\/132. Solve 4*a = -3 - g for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 e when four letters picked without replacement from reere?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/14 - (2210\/91)\/(-5). Suppose 4*v = -4*m + h*m + 85, 0 = -4*v - 5*m + 55. Let w be -5*(-2 - (-8)\/5). Solve -w*z = 3*z + v for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -935\/673 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w - 1. Suppose 8*a - k = 4*a - 20, 0 = 2*a + 3*k - 4. Let g be a\/(-1) - (3 - 1). Let t be u(g). Let n(o) = -o**3 + 2*o**2 + 3*o + 2. What is n(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -1168640*b + 11. Let r(c) = 7*c. What is r(q(m))?\nAnswer: -8180480*m + 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002631824 rounded to 5 decimal places?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 4. Let m(v) = -5*v**3 + v**2 - v - 2. Let y be m(-1). Determine s(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*f - 429 + 226 + 208 to the form y*f + t and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z - 12. Let i be b(12). Let y = i - 12. Suppose 5*t = -5, y*a - a - t + 40 = 0. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -495.\nAnswer: -247.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 144090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*f - 84189 - 84150 + 168339.\nAnswer: -113*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-14) + (-185)\/(-35). Suppose u*r - 82 = 3. What is the highest common factor of 170 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**2 - 1620*t + 1623 = 0. Calculate t.\nAnswer: -541, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96980?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1743 (base 8) to base 2.\nAnswer: 1111100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 + 26*w + 5. Let o be y(-13). Suppose 123 = s + o*j - 44, -5*s = -5*j - 775. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.043, 1\/6, -5, -0.9.\nAnswer: -5, -0.9, 0.043, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 768324.79.\nAnswer: -5, 1, 768324.79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 175\/3 - 58. Which is the fourth biggest value? (a) x (b) 0.2 (c) 4 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/4*(8\/(-6))\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5004*j + 4529*j + 393781 - 60718 = -124521 for j.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -533.81 rounded to the nearest ten?\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -892 + 3699. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p = -14*p + 14. Solve -t = -3*f, -5*f + 0*f = 3*t + p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**3 + 4*r**2 - 4*r + 4. Let g(f) be the second derivative of -3*f**5\/20 + 5*f**4\/12 - 5*f**3\/6 + 5*f**2\/2 - 29*f. What is -4*g(h) + 5*t(h)?\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w + 5 - 9*w - w - 3. List the prime factors of a(-18).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 194, 459, 796, 1205?\nAnswer: 1686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbylyybylvyby. What is prob of picking 1 v and 1 b?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 34 - -4219?\nAnswer: 4251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 221774 and 132.\nAnswer: 14637084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 46392*i + 4679. Is y(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*y + 2*u + 35, 3*u + 5 = -5*y. Suppose 0*v + 172 = y*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 21 - 3. Suppose -2*u = 5*y - q*u + 11, 4*y + 2*u = -14. Let s(c) = -c + 1. Let i(z) = -6*z + 3. What is y*s(j) + i(j)?\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2437*s + 286 + 285 + 241 + 465 with respect to s.\nAnswer: -2437","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 4)*(9*s + 11*s - 6*s) as i + j*s and give j.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8454 + -4654. Let k = q - 37957\/10. Calculate the common denominator of k and (-101)\/(-2)*(-4)\/40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4013 - 4033. Let f(k) = -k**3 - 20*k**2 - 26. Calculate f(g).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 533 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 + (-5 + 4 - -1) and 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 322 - 323.91. Let l = -0.09 + r. Let o = 1.95 + 0.05. Sort l, o, 1.\nAnswer: l, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 + 43*z + 209 - 58 - 47 - 48.\nAnswer: 43*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3186)\/(-4))\/(-3)*58530\/263385?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1684519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 3:45 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/7980 and -37\/14.\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -48, 101411 in increasing order.\nAnswer: -48, -1, 101411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22788 and 120?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -54 + -74 + -2 + (764 - 736)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1600 + 1564. Let t be (-226)\/8 + (-2)\/(-8). Let w be ((-21)\/t)\/((-3)\/z). What is the greatest common factor of 72 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 8818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x - 5*t = 207, 63*x - 33*x - 26*x = 2*t + 60 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1948424544, 3896849089, 5845273634, 7793698179?\nAnswer: 9742122724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 2*o + 35 + 47 = 0, 2*l + 5*o - 62 = 0. Let g be (-1)\/4 + 21\/4. Solve 0 = g*x - 14 - l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (0 + sqrt(42)\/(-1*sqrt(486)))**2 + -4.\nAnswer: -398\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 6.5. Let q = -22 + s. Let w = -21 - q. What is the closest to 1 in 0.3, w, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 0*u = -5*u - 20, -u = 3. Suppose 2*q - 20 = 2*l, -x = -4*l - 9. Solve -q = 2*i - 7*i + c, c + 2 = 2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1988 = 4*o - 0*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(8\/2976*62)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 663064*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*o + 629 = 214*o - 867 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78848 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**5\/60 - g**4\/18 + 12*g. Factor k(z).\nAnswer: z**2*(z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/26128 and 91\/220455?\nAnswer: 3527280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5435.\nAnswer: 5, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeellle. What is prob of picking 3 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 4398?\nAnswer: 439c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 892867, 1785731, 2678595, 3571459, 4464323, 5357187?\n\"Answer: 892864*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-108)\/189 + -3*(-54)\/14. Suppose -455 = -k*j + 6*j. Is 26 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1163 + 1166. Let z(y) be the second derivative of 12*y - 13\/2*y**2 + 0*y**p + 1\/2*y**5 + 0 + 0*y**4. Differentiate z(k) wrt k.\nAnswer: 30*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-9))\/((-2)\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 5*u**2 - u + 10. Let f be y(5). Let z(j) = f - 4 + 3 - j - 6. What is z(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -1.3. Let i = 546.698 - 557.7. Let w = -0.002 - i. Which is smaller: j or w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 417182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38364843.\nAnswer: 3, 11, 1162571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 - 50. Let a = i + 12.000028. Round a to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qeezeezzeeqzzmqzeee. Give prob of picking 1 q, 1 e, and 1 z.\nAnswer: 54\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 928815 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*k + 93, 24 = -3*k - 2*j + 67. Is 17 != k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23664 - -28575. Let c = 73328 - g. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/441*6)\/(2\/28).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from jrrrrbjrjja.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -23) + (9 - 4) + 7 + -22.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 + 9*y - 15. Suppose -3*m - 9 = -2*l, 12*m = 17*m - 15. List the prime factors of q(l).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 706 = 10*x + 486, -14*i - 2*x - 3*x + 110 = -26*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**2\/5 + 25617756*r\/5 - 54689118539628\/5 = 0?\nAnswer: 4269626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 69511, 3.97 in decreasing order.\nAnswer: 69511, 3.97, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 425659078 and 1468?\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 0*r - 12. Suppose r*q - 4*d - 12 = 0, 3*d + 0 = 2*q - 6. What is the lowest common multiple of q and 10*-3*2\/(-6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2 - 32 = -5*x, -p = -1. What is the remainder when 28 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -674*j + 83230 = -109*j - 1520*j - 1075*j for j.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/4*(-42)\/9. What is the highest common divisor of x and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -328 - -367.8. Let k = -31.7 + 1.7. Let j = k + r. What is j rounded to zero dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104.695 millimeters to meters.\nAnswer: 0.104695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7820.021 micrograms in tonnes?\nAnswer: 0.000000007820021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 2\/9 (c) 30 (d) 0.1 (e) 63\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 13) in base 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 - -64. Let p = w - 36. Which is smaller: p or -13?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7 + 126\/26 + -31 + 33. Let w be ((-3)\/12)\/((-9)\/(-428)). Let g = 12 + w. Which is the second smallest value? (a) -4\/5 (b) u (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 6*o - 3*o = 4*t + 25, 7*o = -33*o - 40 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/8 of a meter in millimeters?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -232.6850329 to the nearest ten.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {w: 4, q: 1, n: 5, b: 4, y: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 216*b**2 - 3451*b - 25. Determine z(16).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1364 divided by -1\nAnswer: 1364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**5 - 63*x**4 - 363*x**3 - 681*x**2 - 540*x - 156 = 0.\nAnswer: -2, -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q*q**(-7)*q**(1\/6)\/q*q*q*q**(-1\/2)\/(q**(-12)\/q*q) assuming q is positive.\nAnswer: q**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 234 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d + 4*d + 2*d + (0 + 3 - 4)*(-2*d + 2*d - d) + (5 - 3 + 0)*(-d + 7*d - 4*d)*(8 + 4 - 2).\nAnswer: 43*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 18 = 2*o - 267, 2*u - 100 = 2*o. Suppose -8*n + u = -3*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -200 and 2?\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 5*g + 3. Suppose -r - 4*h - 2 + 7 = 0, 10 = 2*r + 3*h. Let z be c(r). Suppose 17 = 2*j - 3*a, -2*j + 1 = z*a + 2. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2147*o - 2521. Does 112 divide u(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -465644, 2, -93 in descending order.\nAnswer: 2, -93, -465644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00417561556 rounded to seven dps?\nAnswer: 0.0041756","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*k**2*m - 13*k**2 - 5*k + 65*m**4 wrt m?\nAnswer: 2*k**2 + 260*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h - h + 0*h)*(872*h - 1937*h**2 - 689*h - 185*h) to the form d*h**3 + r*h**2 + k*h + i and give d.\nAnswer: -3874","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2870566, 5741135, 8611704, 11482273, 14352842, 17223411?\nAnswer: 20093980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -135 - 12*c**3 + 78*c**3 - 205*c**2 + 19*c**3 + 205*c**2 with respect to c.\nAnswer: 255*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 517*o**2 - 1319*o**2 + 480*o**2 + 319*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007470109 rounded to six decimal places?\nAnswer: -0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -103371*v**5 + v**2 - 2*v + 2112 wrt v.\nAnswer: -6202260*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -17*y - 71. What is the remainder when 51 is divided by s(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 409689*d + 1. Let c be p(1). Let i = c + -195690. What is i rounded to the nearest ten thousand?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -170*h + 5429. Give a(29).\nAnswer: 499","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*d - 32*d - 64 = 0, 5*d - 65 = 5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**4 - y**2 + y. Let j(l) = 2*l**4 - 21*l**3 - 59*l**2 - 55*l - 24. Let q(i) = j(i) - 5*m(i). What is z in q(z) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 19*v + 22. Let b be s(-18). Find the third derivative of -4*k + 12*k**b + 4*k + 118*k**2 - 106*k**2 wrt k.\nAnswer: 288*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b**3 + 3*b**2 + 5*b + 7. Suppose 5 = -5*a - 15. Let t(f) = 5*f**3 - f**3 + 4*f**2 - 11*f**3 + 6*f - 1321 + 1328 + f**3. Calculate a*d(u) + 3*t(u).\nAnswer: 2*u**3 - 2*u - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - l + 2. Let r be o(-4). Let x be (-4)\/(8\/r)*-1. Sort -3, x, 2.\nAnswer: x, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/3)\/((-2)\/3). Let r = -171 + 177. Solve -b - r = g*d - d, d = -2*b - 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3171c (base 13) in base 6?\nAnswer: -1524240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40027 - 56117851\/1402. Which is greater: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004427643493 to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 5:23 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 + 52. Let h(j) be the first derivative of 4*j - 2*j**3 + 7\/2*j**4 - o*j**2 + 1 - 6\/5*j**5. Factor h(l).\nAnswer: -2*(l - 1)**3*(3*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 bigger than -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128 and 150607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140, 140, 130, 104, 56, -20, -130?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 25*p**2 + 23*p - 579. Give f(25).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -61 divided by -11\nAnswer: 61\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7097, -7098, -7099, -7100, -7101?\n\"Answer: -o - 7096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11637 and 3933306.\nAnswer: 3933306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -216373\/56 - -3864. Find the common denominator of a and -87\/28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**3 + 3*k**3 - 4*k**3)*(k**2 + 2*k**2 - k**2) - 4551*k**5 + 2468*k**5 + 2754*k**5 + (-1 + k**3 + 1)*(4*k**2 + k**2 - 7*k**2).\nAnswer: 667*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -104 + 100. Which is greater: -6 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.27? (a) 0.2 (b) -9 (c) 3 (d) -3\/10 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15576 rounded to the nearest one hundred?\nAnswer: -15600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwddwwwww. What is prob of sequence wdd?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -12. Solve 5*n - s = n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 12 = 2. Suppose 0 = 4*i - 31 + 3. Suppose -i*l + 12*l = -5. Which is the nearest to l? (a) 0.7 (b) 4\/3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1239.\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16.4 - -14. Let s = 2.40000064 + n. Round s to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67.3628884 + -2.\nAnswer: 65.3628884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 6*s**2 + 3*s - 1. Let h(c) = -6*c**2 - 4*c + 1. Let k be 8\/6*9\/(-2). Let b(m) = k*f(m) - 5*h(m). Give b(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(408)\/sqrt(8))\/sqrt(3))**2 + (2*sqrt(136)*4 - sqrt(136))\/sqrt(8).\nAnswer: 7*sqrt(17) + 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 c when four letters picked without replacement from {c: 5, w: 8, q: 3}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 - 7*d - 3.\nAnswer: -(d + 3)*(2*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -2*i - 371 + 358, -16 = -z + 3*i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/((y**(-7)*y*y)\/y))\/y*y*y)\/y*y*(y*y*y**1*y)\/y)\/(y*y**1*y*y**(-2\/3)) assuming y is positive.\nAnswer: y**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 35*i**3\/6 + i**2 + 10*i. Suppose -5*t + 2*t + 6 = 0. Let f be d(t). Calculate the highest common factor of f and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2*k - 20 = 0, -4*r + 2*k - k + 25 = 0. Let t(h) = 29*h - 988. Let c be t(34). Let l(s) = s. Let w be l(-7). Sort c, r, w in descending order.\nAnswer: r, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from btsbsdodk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/269 and 22\/1075?\nAnswer: 289175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 15 + 0*h - 8 - 6*h + 4*h**2. Let c be v(2). Suppose -5*d + 315 = 3*u, -3*d - 72 = -2*u + 138. What is the highest common factor of u and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 1:25 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.019 + -26.481. Let y = 0.5 - v. Let o = y + -29. Which is bigger: 9 or o?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 105, 230, 355, 480, 605?\n\"Answer: 125*g - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -87936, -351700, -791292, -1406712?\n\"Answer: -87914*n**2 - 22*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/828 and 51\/4?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1362782.988 milliseconds in weeks?\nAnswer: 0.00225327875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3190 rounded to the nearest 100?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3, j - 6*z = -2*z - 2. Let r(q) = -q**2 + 5*q - 3. Let h be r(j). Find the second derivative of 4*a + h*a**5 - 4*a - a wrt a.\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55 - -222. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5*q**2 + 2081*q - 16998. Determine v(8).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*b + 5. Let v be b\/2*8\/12. Suppose -9 = 3*c, 8*t - 36 = v*t + 2*c. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1305635?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 45*l**2 - 45*l - 39. Let u be w(-44). Suppose -47 = -2*b - 3*v, u*b - 167 = 4*v - 15. Solve 0*a - b = 7*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39 - -3) + 27 + -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 838866 is divided by 2292.\nAnswer: 2286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 146298260 and 680.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 795.\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2. Let k(p) = -111*p**2 + 596*p**2 + 411*p**2 - 84*p**2. Give a(k(f)).\nAnswer: 659344*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(784) + sqrt(784) + sqrt(784))\/(sqrt(70)\/sqrt(360)).\nAnswer: 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -15155 less than or equal to -15104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67 + 96. Let d = n - -141. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1296*j**3 + 836*j - 1701*j + 852*j.\nAnswer: -1296*j**3 - 13*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001100111 + -1001000100000?\nAnswer: -1010010000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - -196629?\nAnswer: 196635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 10*o**2 + 1. What is v(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/sqrt(128) - (sqrt(17) + sqrt(17) + 0 + 5).\nAnswer: -7*sqrt(17)\/4 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 7*s + 465 = -6*s, -2*s = 4*x + 386. Which is the second smallest value? (a) 5 (b) x (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-3)*15\/10. Suppose -25 = -5*k, -17*k = 4*s - 20*k + 11. Which is the nearest to s? (a) f (b) 3\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3667*x - 135676. Calculate q(37).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 11*p - 101. Calculate the greatest common divisor of p and 105.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 300 and 2.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 416724 a multiple of 246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/15, -1\/10, -9.08 in increasing order.\nAnswer: -9.08, -7\/15, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*n - 4*i, 0*i + 6 = -3*i. Let m = n + -5. Which is smaller: m or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, x: 2, r: 5}. Give prob of sequence xr.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127 - 97 + 6*f + 224 + 9*f.\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.398 + -0.398. Let f = 0.7 + 4.3. Let q = f - 3. What is the nearest to q in 1, y, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16684 or -18134?\nAnswer: -16684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 4. Suppose -5 + 3 = k. Let h be (k\/(-2))\/(2\/(-6)). Is c(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14310*i = 14314*i + 3*s - 7, 4*i + 4*s - 12 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 12. What is the closest to 0 in 0.3, -0.1, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 453\/11 + -3103\/66. Calculate the common denominator of c and -58\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2770 at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -2 + 61 + (-100 - -45)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*y - 2 + 94. Solve a + 1 = -y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -0.155\nAnswer: 0.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -3. Suppose 2*y + 148 = 158. Suppose 4*l - 1 = y*l, 1 = -p + 4*l. Which is the third biggest value? (a) p (b) i (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*3.5.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 1 - (-2 - -2). Let q be 7\/2 + y\/(-2). Suppose o = -q*o + 192. Does 18 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*x - 2064 - 1522. List the prime factors of x.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 11\/2 of a micrometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*(-6*(-3*(-5 + sqrt(704) + 4) + 5))**2.\nAnswer: -55296*sqrt(11) + 921601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 24*b**2 + b + 2. Is g(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5003780491.\nAnswer: 257, 19469963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2\/13 + 371052*d\/13 - 17209948338\/13 = 0. What is d?\nAnswer: 92763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, v: 4, a: 6, h: 1}. What is prob of picking 1 h and 2 a?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4579932 less than -4579931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/6*(-42)\/238.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -610.2 + 610. Which is the nearest to -0.03? (a) r (b) 1\/3 (c) -1\/4 (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-7))\/((-235)\/329).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 208 - 202.28. Let x = 5.71999494 - l. What is x rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -237.028 - -237. What is h rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 55.3503 milliseconds?\nAnswer: 0.0553503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 680367876 to the nearest integer?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.02 + 0.98. Let d = -2 - -2.3. Which is the closest to g? (a) 0 (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*g = -55, -3*p + 0*p - 110 = g. Let f = -24 - p. Let o(v) = 19*v + 9. List the prime factors of o(f).\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-2\/63)\/n))**(-36) assuming n is positive.\nAnswer: n**(-260\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 210347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, e: 1, a: 4, w: 2, k: 3, x: 1}. What is prob of picking 1 a and 1 w?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -366.23 to the nearest integer.\nAnswer: -366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 22, -2, -0.3, -3, -128, 1\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -5*d**2\/2 + 2*d - 3. Let f(u) = -15 - 22 - 16 + 60*u - 10 + 37 + 1. Determine 25*a(s) + 2*f(s).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 15. Let a be (4\/10)\/((-5)\/(-75)). What is the units digit of b(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l - 40 = -0. What is the third biggest value in -15, 0.5, l?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 2*b**2 + 4. Let z be ((-6)\/(-18))\/((-1)\/(-9)). Let u be o(z). Solve j = 2*k - u, 0 = 4*k + 2*j - 16 + 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((-85)\/(-51) + 70\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -85.6 and 333 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1942*f + 24890 = 547*f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1358 and 3104.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*r - 87245 = 105755. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(3*sqrt(2268)*1*-1 - (-4 + sqrt(2268) + 0 + sqrt(2268)*2)))**2*4*-1.\nAnswer: -326656 + 3456*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -194, -195, -198, -203, -210?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 7 + 1 + 3 + 36 + 14?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 10*z + 41. List the prime factors of j(14).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -486*q**5 + 293 - 294 + 95*q**5 + (-q + 1 - 1)*(0*q**4 - 3*q**4 + 2*q**4).\nAnswer: -390*q**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2120*p**3\/3 - 1334*p**2 - 488*p\/3 + 8 = 0?\nAnswer: -3\/20, 2\/53, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*y + 4*g - 33, -y = -2*g + 8. Which is the nearest to 1? (a) -3 (b) y (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 3*f = 40, 5*f - 2 = -27 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 850465 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -235044 + 234967. Let m = 4 + -4. Is m greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-4\/7)\/f))\/f*f)\/f**(-17) assuming f is positive.\nAnswer: f**(137\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 9*k + 1243. What is o(-138)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 21. Let f = 8.066 - r. Round f to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a litre in millilitres?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -149 + 157. Calculate the remainder when 15 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/37599024 and -137\/28199268.\nAnswer: 112797072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 0*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -21. Calculate the smallest common multiple of m and 7\/(-2)*-24*2\/3.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155800447?\nAnswer: 11, 1287607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39674.03 + 40258. Let m = -583 + n. What is m rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 16, -3*j + 0*c - c = -20. Let u be 5\/2*j\/10. Solve -3*q + 4*m = 17, m - 8 = -0*q + u*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -4*s**5\/3 - 60*s**4 + 2056*s**3\/3 - 2568*s**2 + 3924*s - 1980 = 0.\nAnswer: -55, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 966 and 11454.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/18*3 + 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3247.5 and -0.3?\nAnswer: 3247.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 587 + -1d9d?\nAnswer: -1816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 3*s + 6 = 0. Let z be (0\/(-1))\/(-7 + 6). Let p be 2 + z*(1 - 2). Solve -4*a + s*a = 3*f - 3, 0 = -p*a - 5*f + 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(((-9)\/(-184))\/((-11)\/((-1144)\/(-78))))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 6486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 11:54 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v - 6. Let h(b) = 10*b - 65. Let m = -68 + 3. Let q(c) = -c**2 + 9*c - 8. Let x be q(7). Let y(i) = m*u(i) + x*h(i). Let k(w) = 2*w**2. Give y(k(s)).\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 29 - 7)*(-1 + 1 - h) + 2*h + 3*h - 3*h.\nAnswer: -29*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104637499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1751038 to four decimal places.\nAnswer: -0.1751","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23222 (base 4) to base 10.\nAnswer: -746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39*i**3*l**2 - i**3*l - 4*i**2*l - 10*i*l**2 + 50*i wrt l?\nAnswer: -78*i**3 - 20*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 7:54 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z. Let o(c) = -36*c + 19608. Calculate d(o(i)).\nAnswer: 72*i - 39216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294 = -4*u - 2*b, -2*b - 138 = 3*u + 81. Let c be 1 - u\/(-45) - 4\/(-6). What is c rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64 + -61. Solve 3*t = -2*z + z, 3*t + m*z = -6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r + r**2 - 23 + 7 + 21 to l + j*r + p*r**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7093, -7123, -7153?\n\"Answer: -30*q - 7063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of p**5\/40 - p**3\/12 + p - 3. Let v(b) be the first derivative of o(b). Factor v(y).\nAnswer: y*(y - 1)*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**(-18\/13)*l**(4\/9)*l**0*l**(-6)\/l**(-2)*(l*l**(-3)*l*l)\/((l*l**3)\/l) assuming l is positive.\nAnswer: l**(-929\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -39 + 6*a - 35 + 79. Let q(j) = 3*j + 2. Let o(c) = 2*k(c) - 5*q(c). Let w(s) = -2*s + s + 3*s. Determine o(w(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.32 - -0.299. Round x to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(133)\/sqrt(7) + (sqrt(19) - (sqrt(76) + sqrt(76) + 1*sqrt(76) + sqrt(76) + sqrt(76))\/sqrt(4)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3683 = 5*a, 302*a - 307*a - 4*o = -3662. Solve 14*b + 864 = a for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/6)\/((-12)\/(-4)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/150 and -149\/5180?\nAnswer: 77700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*t + 28, -5*k + 9*k = -4*t. Which is the nearest to 19? (a) 1\/2 (b) 3 (c) -3 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*-3*3\/(-18). Suppose v = -5*k - 21 + 6. Let n be 0 + k - (-96)\/28. What is the third biggest value in n, -0.4, 2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503740519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -6 + -23 - -4\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18371436 or 1?\nAnswer: -18371436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -622, -1251, -1878, -2503, -3126?\n\"Answer: s**2 - 632*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15086 to the power of 1\/2, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (-2)\/10 + -1. Let s be (-2)\/((-14)\/(-35)*-1). What is the second smallest value in x, s, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3213130 (base 4) to base 2.\nAnswer: 11100111011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) -4 (b) -1\/6 (c) 1 (d) 46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3491570 is divided by 77?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172599760.\nAnswer: 2, 5, 457, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -16. Let y(m) be the third derivative of 14*m**2 + 0 + 0*m + 1\/24*m**4 + 1\/3*m**3. Calculate y(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19006+2\nAnswer: -19004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 4*p**2 - 28*p - 21. Let v be b(8). Let o = -29 + 59\/2. Is o greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**4 + 792*r**3 + 36612*r**2 + 401632*r + 1279488 = 0.\nAnswer: -136, -48, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2*-12761854\nAnswer: -25523708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3337031377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 25*d**2 + 25. Let k(l) = 3*l**2 - 51*l - 5. Let s be k(17). What is the hundreds digit of o(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188756 is divided by 56.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 - -20345621?\nAnswer: 20345603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 13*d**4\/12 - d**2 - 11. Let m(z) = -7*z. Determine t(m(l)).\nAnswer: -182*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38366*r**3 + 38291*r**3 - 76661*r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -107 (b) 0.16 (c) -2\/17 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.04 + 0.04. Let j = d - -2.2. Let p = -62.48 + 61.98. What is the nearest to -2 in j, 2\/9, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14003122 (base 5) to base 8.\nAnswer: -423355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 158 + -156. Let b be 0*(-1)\/(-4)*-2. Let k(o) = -3*o + a*o + 0 + b. Calculate k(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 244*s. Let j(c) = 41*c + 35*c - 168*c + 46*c + 44*c. What is d(j(p))?\nAnswer: -488*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2\/31)*q)\/q**10)\/((q*q**2)\/(q*q**(-2\/29))))**44 assuming q is positive.\nAnswer: q**(-440396\/899)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 divided by -623.\nAnswer: -38\/623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7\/33, -0.2, -1611, 1\/2?\nAnswer: -1611","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 2*q = -56, -1646131*q + 36 = -3*r - 1646134*q for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -272, 3, -6 in decreasing order.\nAnswer: 3, -6, -15, -272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-4)*(-7072)\/(-15470)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - (-2)\/4) + (-870)\/(-12). Let k = d - 62. What is the remainder when 42 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -38872, -44538, -50204, -55870, -61536?\n\"Answer: -5666*w - 33206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*3\/36)\/((-36)\/54).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1048282 or -1048283?\nAnswer: -1048282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1230)\/(-574)*(-56)\/(-54) - 2. Suppose d*b + 2\/9*b**2 + 0 = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-1680 + (13 - 9)) a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 + 10*v**2 - 11*v**2. Let s(y) = 30*y. Give s(p(b)).\nAnswer: 30*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 8 = -6*c. Find the second derivative of -2*t**c + 4*t**3 - 3*t**3 - t**3 - 6*t wrt t.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 209 and 209 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 20, -4*g + 3*z - 79 = -243. Suppose 840 + 4860 = g*q. Solve 2 = -152*x + q*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280\/420 + ((988\/(-12) + -1)\/(-2))\/(-1).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 2*g**2 + 12*g - 52. Let w be z(4). What is the tens digit of 4*6\/w + 161\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*f**2 - f**2 + 3*f**2)*(-1109 - 118 + 179)*(-2 + 2 + f) to the form r*f**2 + m + i*f + l*f**3 and give l.\nAnswer: 2096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001115383 to 6 dps.\nAnswer: 0.001115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and -24674.\nAnswer: -24674.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -565235 divided by -13145\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {s: 13, x: 3}.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of o**5\/20 - 4*o**3\/3 + 6*o. What is the second derivative of s(j) wrt j?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*73.\nAnswer: -1971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + 3*w + 1 - 10, 0 = -5*r + 2*w - 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23978 and 78?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 119 or -5?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80345624 divided by -4.\nAnswer: -20086406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(p + 3*p - 2*p) + (-p - 3*p + 15*p)*(3 + 1 - 5) - 3*p + 3*p + p + p - 2*p - p + (0*p - 2*p - 3*p)*(2 - 1 + 0).\nAnswer: -15*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 0 + 6*p + 5 - 7*p - 4. Let c be o(-1). Let x(k) = -2*k - 2*k + 7*k - 2*k + c. What is x(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26994 (base 16) to base 6\nAnswer: 3215540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (44\/(-10))\/((-6)\/255)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1479)\/(-58) + -25)*(36 - 6\/(-3)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17342981.\nAnswer: 31, 559451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -b**3\/6 + 5*b**2\/2 + 2*b. What are the prime factors of p(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -2. Let h be (2 - 3)*f*-11. Calculate the highest common divisor of h and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 - 4*s - 2. Let h be r(-3). Let q = 48 - h. Calculate the highest common divisor of q and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 186*f**3 - 98*f**3 - 91*f**3 + 5*f + 77*f**2 to the form o + x*f + n*f**2 + q*f**3 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y + 4 + 28 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -788736596, -788736595, -788736594, -788736593, -788736592, -788736591?\n\"Answer: x - 788736597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*q + 105 = 0. Suppose -122*m + 0*m = -2196. Calculate the remainder when q is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1849204.163 rounded to the nearest one hundred?\nAnswer: 1849200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/10728 and -77\/4?\nAnswer: 10728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 10*d = 25. Let v(t) = -t**3 - 6*t**2 - 3*t - 4. What is v(d)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -4. What is the closest to 0 in a, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 4*i + 7. Let x be s(-5). Suppose 0 = -4*n + x, 98 - 29 = -5*k + 3*n. Let z = 21 + k. Solve 2*t = 3*r - 13, -r + 7*t = 4*t - z for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 6\/7 (b) -2\/5 (c) 0.29 (d) -5 (e) 0 (f) 10 (g) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -15*z**3 - 4203324*z**2 + 1681332*z = 0.\nAnswer: -280222, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*n + 366 - 188 + 7*n**3 - 16*n - 178.\nAnswer: 7*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -187*q + 3 with respect to q.\nAnswer: -187","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/11)*b**(-6))\/(b**(-2\/19)\/b**(-3)) assuming b is positive.\nAnswer: b**(-1897\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u - 33*c + 38*c + 20, -3*c + 2 = 4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5123 - -5112. Put -2, o, 5, 3 in increasing order.\nAnswer: o, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j - j**2 + 5*j - 5*j**2 + 5*j**2 - j**2 + (j - 1 + 1)*(-1 + 1 - j) + 4*j**2 - j**2 - j - 4*j**2 - 5*j**2 + 62*j - 62*j.\nAnswer: -9*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -100.941 - -100.9409936427. What is c rounded to seven decimal places?\nAnswer: -0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -w**5\/120 + 5*w**4\/24 + w**3\/6 - 3*w**2. Let g(z) be the first derivative of v(z). List the prime factors of g(-13).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 50091 and 50091 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56886 and 9.\nAnswer: 170658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 253953 and 184870?\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 503098194 rounded to the nearest ten thousand?\nAnswer: 503100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -8*f**2. Let v(o) be the second derivative of 5*o**4\/6 + 13*o + 2. What is y(v(s))?\nAnswer: -800*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.239146 - 0.2308516. Let v = -0.47 - o. Round v to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*t)*(-t - 2 + 2)*(-t**2 - 2*t**2 + t**2) + 123*t**4 - 53*t**4 - 54*t**4.\nAnswer: 20*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1919346336?\nAnswer: 2, 3, 1087, 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.203 + 99.797. Let q = -100.00000094 + j. What is q rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*c + 1288125 = 182*c. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8044*l + 99 = 8055*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 + 6*w - 6. Let l = 5 - 1. Let j(c) = -c - 3 - 3*c + l + 3*c. Give d(u) + 6*j(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/1566 and 53\/7?\nAnswer: 10962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -7377*g**2\/2 - 7884*g + 196. Differentiate i(h) with respect to h.\nAnswer: -7377","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1665167687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 - y + 2. Let p be i(1). Suppose -9 = -4*m + p, 2*d - 192 = 2*m. Let f = d + -21. What is the remainder when f is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*z**2 + 99*z**2 - 31*z**2 - 37*z**2 - 18 to the form w + h*z**2 + f*z and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 8*h + 15. Give j(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 13 = s, -3*s + 23 = 2*q - 8*s. Solve n = -q*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22107.891 months in centuries?\nAnswer: 18.4232425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -11. Suppose 0 = -3*d + 6 + v. Suppose -50 = -u - 4*u. Calculate the least common multiple of u and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5178766 a multiple of 898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 1802.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3822490 is divided by 5289?\nAnswer: 3832","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a188 + -805?\nAnswer: -2a992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(5) + 1)*-2 + 5)**2 + -3)*6*-5.\nAnswer: -2160*sqrt(5) - 4740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 486 (base 15) to base 14\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1*-2)\/((112\/664)\/(-7)) is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*v - 18, 2*s - 2*v = -2*s - 20. Let d = 46 + -47. What is the nearest to d in s, 0.5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 4*s = 15, -10 = 2*y - 4*s. Let p(o) = 4*o + 22. Let m be p(-10). Let n = m + 21. Solve 4*d - f + n = 0, 3*d + y + 1 = f for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, m: 1, d: 2}. What is prob of picking 3 m and 1 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63 + -111. Let i = -55.4 - c. Round i to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1811596734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2709238960 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a. Let p(j) = -155*j**2 - 6*j - 127. Let h(b) = -6*c(b) - p(b). Differentiate h(u) wrt u.\nAnswer: 310*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0995 - -0.1995. Let s = -0.8 - 0.2. Let w = 5 + s. Which is the nearest to y? (a) -1 (b) 0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -4, 323, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 12 - 3 - 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12154 and 8.\nAnswer: 48616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66589\/3 - 22196. What is the second smallest value in i, -0.1, 251?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 9*r**3 - 3*r**2 - 6*r + 2. Let b(g) = 8*g**3 - 2*g**2 - 6*g + 2. Let m(x) = -4*b(x) + 3*p(x). Calculate the remainder when m(-3) is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 12. Let m be 10134\/(-126) + -1*(-4)\/c. Let h = 83 + m. Which is smaller: 24\/11 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -2\/3 (c) 4 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(111\/148*24\/(-5))\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o + 6. Calculate u(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*1 - (-636532224)\/(-64). Let g = 35225819 + b. Round g to the nearest one million.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12\/64321 + 2122533\/321605. Solve 0 + h*u**3 - 12*u + 3\/5*u**4 + 24\/5*u**2 = 0.\nAnswer: -10, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 170 - 168. Let p be (t\/4)\/((-17)\/34). Which is the nearest to -2? (a) -6 (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, 1, -37, -19, -3.\nAnswer: -37, -19, -6, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.06 + -0.058712. Round m to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 8:26 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 87660163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -204 + 206. Suppose -17*c - 1 = -20*c + 4*m, 2*m = -g. Let b = -1912\/155 + 62\/5. Which is smaller: b or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1004, -1999, -2994, -3989, -4984?\nAnswer: -5979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 minus 1464685?\nAnswer: -1464684.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22241*f**3 - 4454*f**3 - 4446*f**3 - 4445*f**3 - 4446*f**3 - 4452*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -66 (b) 1\/4 (c) -5 (d) 1921\/18 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(312\/455)*(13 - 1 - 14).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108 and 239712.\nAnswer: 2157408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (-23 + -2 + 2). Let i = h - 21. Let x(g) = g**3 + 5*g**2 - g - 3. Let l be x(-5). Solve 4*m + i*r + 14 = r, 2*m + 4 = l*r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(21)\/(sqrt(15)\/sqrt(5)) - sqrt(7)) + sqrt(7) + (sqrt(7) - (sqrt(175) + 3)))**2 + 3 + 0).\nAnswer: 108*sqrt(7) + 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30204015422 + -1?\nAnswer: 30204015421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.052199035 to 4 dps.\nAnswer: 0.0522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1460 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u - 30. Let b be p(9). Let w be (-3)\/b - -2*(-3)\/(-4). Which is bigger: -1\/83 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -1\/3, 0.2, 4\/59, 401.8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24399 is divided by 22127.\nAnswer: 2272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - 4*g - 4*g)*(-2647*g**4 + 541*g**4 + 52*g**4).\nAnswer: 6162*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 1)\/(5\/(-45)). Let q = 20 + u. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 + 0 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1414 - 442 = 9*v. Find the third derivative of 113*b**2 - 4*b**3 - 8*b**3 - v*b**2 wrt b.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t + 6*t + 3*t**3 + 0*t.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*l - 1233 = 0, -3*b + 3*l + 1895 = 32. Suppose -3*j - 186 + b = 0. Calculate the greatest common divisor of 73 and j.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1)\/(8\/(-12)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.04 + -0.16. Let o = -2 - -2. What is the biggest value in -0.3, o, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.893 - -0.107. Sort h, -0.4, -1\/2, 4\/3 in increasing order.\nAnswer: -1\/2, -0.4, 4\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m**2 + 7504*m + 59782. Calculate t(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 - -54. Solve 0 = -3*w + 2*a - 3 - 1, 0 = -4*w - 3*a - t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -9\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -349 + 349.0000151. Round n to six dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 4*o - 15. Suppose 2*i + 5*j = -21 + o, -3*i - 2*j - 2 = 0. Find the third derivative of y**5 - 3*y**5 - y**i + 0*y**5 wrt y.\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 96204 or -4\/29?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -162431 + 294381. Round m to the nearest one thousand.\nAnswer: 132000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(-95)*(-2 - (-8)\/5)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30110 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 3*w**2 - 3*w - 7. Let i be l(-3). Let q(a) = -1 + a**2 + 2*a - 1 + a. What is q(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 12796.\nAnswer: 319900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -498 divided by 9.\nAnswer: -166\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1413?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*6)\/(6*sqrt(16)).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 420\/(-280)*-3*62\/9. Let y = -12 - -32. Let k = f - y. What is the greatest common factor of k and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 1b?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2428388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5329436*j*q - 160081*q + 6 with respect to j.\nAnswer: -5329436*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 232902 and 112138?\nAnswer: 3027726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k - 13. Let m be y(19). Let c(b) = 8*b**2 + 7*b + 3. Let p(w) = w**2 + w + 1. Give m*p(t) - c(t).\nAnswer: -2*t**2 - t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9268.8 minus 96852.67?\nAnswer: -87583.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**4\/6 - 287818*v**3\/3 - 41419600562*v**2\/3 = 0. What is v?\nAnswer: -287818, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8380*a + 16760*a - 2*a**3 - 8380*a.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (20\/(-35))\/2*-21. Calculate the highest common divisor of k and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 41*y**2 - 42*y - 32. Let q be g(-40). What is the highest common factor of 80 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2 - 6*v + 11. Suppose -23 = -n + 4*g, 7*g = -5*n + 3*g + 43. Let q(r) = -5*r**2 - 17*r + 31. Let k(o) = n*b(o) - 4*q(o). Determine k(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 135 - 93. Let m = 16 - 10. Suppose -3*a = -m*a + g. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23 or -64308301?\nAnswer: -64308301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 5*n, 0*b + 32 = -12*b + 2*n + 102 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) -11 (b) 3 (c) 5 (d) -1\/4 (e) -0.05 (f) 90\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(2\/(-4) - (-21)\/14). Suppose f = -3*c - c - 8, 3*d - 5*c - 97 = 0. Calculate the remainder when 51 is divided by d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8790330 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*s - 41*s = -6417 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.066 and 0.04?\nAnswer: 0.00264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -w**3\/6 + 11*w**2\/2 - w. Let k(t) = t - 6. Let h(m) = 10*m + 3. Let y be h(-1). Give y*k(z) - 4*l(z).\nAnswer: -3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**3 - 11*n**2 - 3*n + 3. Let k be u(4). Suppose -8*y - k = 1. What is the nearest to -1\/3 in 14\/15, y, 2\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52\/9*k**3 + 0 - 16\/3*k**4 - 8\/3*k**2 + 16\/9*k**5 + 4\/9*k.\nAnswer: 4*k*(k - 1)**2*(2*k - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**4 - s**4 - 6*s**4 + 2*s - 2*s**2 + 2*s**4 as p + l*s**4 + o*s**2 + h*s + n*s**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000452 to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2750*i**3 - 1737*i**3 - 10459*i**3.\nAnswer: -9446*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggbgbgggbbgbgbggbgg. What is prob of picking 3 b?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 1, -17, 2 in ascending order.\nAnswer: -17, -4, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7382 times -2?\nAnswer: 14764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/165688 and 149\/24.\nAnswer: 497064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 7*q**2 - 2*q - 6. What is r(5)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + 21?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 44.2689 grams?\nAnswer: 44268900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 3 = -6*a. Suppose q - 4*q - 540 = -5*b, 2*q - 305 = -a*b. Is b a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 19*j**3\/6 + 2*j**2 + 15*j - 2. Let y(u) = -13*u - 3. Calculate -5*l(f) - 7*y(f).\nAnswer: -4*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, b: 1, s: 2, f: 4, j: 8}. What is prob of picking 3 j?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107, 100, 81, 44, -17, -108, -235, -404?\nAnswer: -621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -773, -771, -767, -761, -753, -743, -731?\nAnswer: -717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 7*c**2 + 15*c - 10. Let j be 2 + 1 + 20 + 2. Let a = 18 - j. Does 31 divide h(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -431.231 - -431. Let k = 46.831 + y. Let i = 41 - k. What is i rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -6596 + 14*n + n**2 + 6583 - 6*n. Let w = -46 - -37. Give i(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/13 (b) -1 (c) 2 (d) 2\/5 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.08 - -0.44?\nAnswer: 2.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -569*m**2 - 2*m - 4. Let b(a) = -2276*a**2 - 9*a - 17. Let u(f) = 6*b(f) - 26*r(f). What are the prime factors of u(-1)?\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 2*v**2 - 4*v + 4. Let l(w) = w**3 + 3*w**2 + 5*w - 5. Let z(m) = 3*l(m) + 4*s(m). Let r = -13 + 15. Give z(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*r + 10*r + 7*r**3 + 8*r + 10*r.\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*i - 249178 + 68018. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 3*n**2 - 3*n + 2. Let s be a(-7). Suppose -2*i = i + s. Let z = 108 + i. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*x = 4*o + 20*x - 23, 0 = -3*x - 15. Let c(g) = -18*g**o - 3 - 6*g**2 + 21*g**2. Let h(w) = -3*w. What is c(h(i))?\nAnswer: -27*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7663401313 to 4 dps.\nAnswer: 0.7663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0018182845001 rounded to 5 decimal places?\nAnswer: -0.00182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -363 (base 11) to base 4.\nAnswer: -12300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1641 + 207*a**3 - 213*a**3 - 1641.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*q**3 - 160*q**3 - 165*q**2 + 31*q**3 + 54*q**3 wrt q?\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 + -211210?\nAnswer: -211011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/143, -1, -1\/8, -5 in decreasing order.\nAnswer: -6\/143, -1\/8, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.05 and -54444968245.45.\nAnswer: -54444968245.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 37 = 1. Suppose 0 = 3*b + 2*v + 66 - d, 3*v + 9 = 0. Let s = b - -22. Solve 2*n - 6*n - s = -q, 5*n = -4*q + 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1357 by 199.\nAnswer: -1357\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c - 5. Let a be ((-75)\/9 - -5) + 6\/(-9). Let m(j) = -3*j + 10. What is a*m(t) - 7*l(t)?\nAnswer: -2*t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 9:53 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -38, -46, -74, -134, -238, -398, -626?\n\"Answer: -2*z**3 + 2*z**2 - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 - 0.4. Let v = x + 2. Which is the nearest to v? (a) 1 (b) 5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95\/(-399)*(-8)\/((-128)\/24)*(-66)\/(-385).\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1202121320 + -10?\nAnswer: 1202121310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 185, 7, -3 in ascending order.\nAnswer: -3, 7, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8 - ((6 - 21) + 7). Suppose 4*u - 3*u - 2*m + 3 = 0, 5*u - 9 = 4*m. Suppose a = -r + 5, 3*t - 17120 = -3*r + u*r. Round t to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**27)**(-44)*(c**(-4\/9)*c*c)\/(c**(1\/8)\/c))**(4\/19) assuming c is positive.\nAnswer: c**(-85361\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 365693, 731281, 1096761, 1462133, 1827397, 2192553, 2557601?\nAnswer: 2922541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -1\/4, -2\/5, 0.02, -4.3, 1\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*l + 3*l. Suppose l*j - w + 10 = 0, -5*j + 3*w + 2 = 16. What is the third smallest value in j, -1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 525.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4990177568?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44 - m**3 + 14 + 142*m**2 + 13 + 8 + 11 - 4*m**4 to the form c*m**4 + q*m**3 + b + o*m**2 + n*m and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2869 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 726508589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 5*n + 112 = 0. List the prime factors of 88\/24 - 3*n\/(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 3*z - 12 = 0, -8 = -26*v + 24*v + z for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -3. Let t(b) = 0*b**3 + 0*b**3 - b + 6 + b**2 + a*b**3 + 5*b. Let i(k) = -6*k**3 - 3*k**2 - 11*k - 17. Determine -6*i(x) - 17*t(x).\nAnswer: 2*x**3 + x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-21))\/(41\/((-615)\/(-250)) - 48\/3).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124538634 is divided by 95.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.99 - 12. Let v = 1 - 0. Let n = -7.95 + 7.45. Sort i, v, n.\nAnswer: n, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 240448257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6 - 4*c + 8*c + 2. Let y be i(4). Solve -2*u - u + y = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 17 = t, -48 = 10*t - 7*t + 5*a. Let w be (-13)\/((-858)\/(-84))*t. Solve -22 + w = 4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 151 - 129. Calculate the highest common factor of 154 and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2)*h)\/(h\/h**(9\/7)))**(-1\/49) assuming h is positive.\nAnswer: h**(5\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 31*s - 6 - 4*s**2 - 1\/4*s**4 + 16\/3*s**3. What is the hundreds digit of a(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4184.802 months?\nAnswer: 348.7335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.573673 millennia to years.\nAnswer: 4573.673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -403*s. Let f(l) = 2*l. Determine 124*f(r) + x(r).\nAnswer: -155*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/1876647 and 37\/94860.\nAnswer: 112598820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/15 and -11\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 528 + -496. Let t be 33 - (1\/(-4) - (-8)\/o). What is the greatest common divisor of 363 and t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2\/15, 0.09 in descending order.\nAnswer: 2\/15, 0.09, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from hyhyyhyyyyyyyy.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 342 + -338. Sort -3, 2\/25, 0, o in descending order.\nAnswer: o, 2\/25, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/166*-2)\/2. Which is the smallest value? (a) x (b) 1 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o + 24. Calculate r(28).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5208, 3976, 2754, 1542, 340, -852?\nAnswer: -2034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 87.4?\nAnswer: -87.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*k - 15714 = 8*k. Let t = k + -292. Does 28 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * -0.082\nAnswer: -0.00492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (1 - -1) + (8 - 15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 720, 1437, 2168, 2919, 3696, 4505, 5352, 6243?\nAnswer: 7184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*a - 951, 189 = a + h - 0*h. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, o: 1, s: 2, z: 1, x: 2, v: 1}. Give prob of picking 2 k.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 6 + 4 - 13 + 797*n**2.\nAnswer: 797*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 13726670?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 4:36 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 306600.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7957889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -147 + 30c3?\nAnswer: 2c79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.3 - -3.39. Let z = 132.2 + -132.5. Which is the third smallest value? (a) z (b) m (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5137, 6, -3 in ascending order.\nAnswer: -4, -3, 6, 5137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*z - 87 - 35 = 0, 5*s + 4*z = 246. Suppose -s*j - 455 = -41*j. Let q = j - -99. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2514 + 6061. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p - 32. Determine r(-3).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29656, -118598, -266826, -474334, -741116, -1067166, -1452478?\nAnswer: -1897046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -57 at least -19314\/335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/105? (a) -1 (b) -4\/77 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 2\/(-3))\/(17\/(-4) - -4)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101427419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -67*b**2 + 555*b + 414. Give r(9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96)\/1264*2923\/(-148)*(-10)\/(-48)?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11111111101110111 (base 2) to base 15\nAnswer: 28be0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p. Let a be x(-1). Suppose 0 = 3*g + 2*l - 4, -l + 0*l + 8 = 3*g. Suppose 4 = -g*k + 3*k. What is the closest to -4 in a, -4\/7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/4 and 42\/625?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 20.99896969.\nAnswer: -22.99896969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3138*r - 23*r**4 + r**2 - 2 - 3136*r - 2*r**3 + 9409*r - 3135*r as v + l*r**3 + f*r**4 + j*r**2 + p*r and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -14435 take away 4?\nAnswer: -14439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 7) in base 10?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-10) + 24112\/(-113710). Sort -56, 3\/7, c in ascending order.\nAnswer: -56, c, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 21581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 5, -1\/10, -1\/7, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 2*b + 12, 12 - 4 = 4*v - 8*b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 77517120 a multiple of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -22900 to the nearest one thousand.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1353 and 123.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 2*q**2 + 0*q**2)*(0 + 0 - 1 + (4 - 2 - 1)*(0 + 1 - 2))*(2 - 2 + 2).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/18 of a day?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4 - 12*k**3 - 50*k**2 - 84*k - 45.\nAnswer: -(k + 1)*(k + 3)**2*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 777.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8452 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -107.161 - -109.2. Let j = 0.039 - v. Which is the closest to 1\/3? (a) 3\/5 (b) -0.5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/4216)\/(((-285)\/(-240))\/19).\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -170*k - 10787. Give b(-67).\nAnswer: 603","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 52 + 0*c - 2*c + 68 as n*c + o and give o.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 125\/50 + (-30)\/(-4). Suppose -7*h + 612 = q*h. Is 9 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9083513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37714 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*s - 12 + 24 = 2*h - 47*s + 27*s, -h + 286 = 41*s for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 12. Let w = p - 6. Let b = -0.14 + 0.09. Put -0.5, w, b in increasing order.\nAnswer: -0.5, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -6. Suppose 3*z + 2*p + 2 = z, z + 2*p = 1. List the prime factors of 13 + 0*z\/x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/2))**(7\/2)*t**11\/(t\/((t\/(t*(t\/(t*t**(-13\/5)*t))\/t*t))\/t)*t) assuming t is positive.\nAnswer: t**(233\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**5\/2 + 125*n**4\/2 + 280*n**3 - 1470*n**2.\nAnswer: 5*n**2*(n - 3)*(n + 14)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1266.892 and -1606.\nAnswer: -339.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -97167 or -97162?\nAnswer: -97167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 7*n**5\/60 - n**4\/2 + 17*n**2. Find the second derivative of m(j) wrt j.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6133874603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/720*12)\/((-24)\/(-30))*1.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13645, 109074, 368097, 872512, 1704117, 2944710, 4676089?\nAnswer: 6980052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 9:29 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*y + 16773252, -5*y + 3*o - 7*o = -20966591. Suppose 8*k + y = -11486685. Round k to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23469 is divided by 75?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -96 - -97. Let v be (-18)\/(8\/(-5 + h)). Let k(b) = b**3 - 10*b**2 + 11*b - 7. What is k(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-2)*(-18)\/(-15) + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7112995 to the power of 1\/2, to the nearest integer?\nAnswer: 2667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 796*w**6 + 2039*w**2 wrt w?\nAnswer: 95520*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -2)\/(-7 + 138\/18). What is the derivative of -24*h**j - 23*h**3 + 13 - 1 + 45*h**3 wrt h?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.05 + 14. Which is the second biggest value? (a) -1\/6 (b) z (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 11:52 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 214, 398, 542, 646?\n\"Answer: -20*o**2 + 244*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((95\/(-2))\/(-19))\/(-15)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -638292 divided by -3711\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 22. Let d = 6 - c. Solve -b + d = -0*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 548, 4562, 15474, 36710, 71696, 123858, 196622?\n\"Answer: 571*u**3 + 23*u**2 - 52*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*q - 70*q**3 - 23*q + 5*q**2 - 7*q**2 - 15*q to y*q + a*q**3 + r + z*q**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z**2 + 5*z - 5. Let j(f) = f**2 - f + 1. Suppose 2*w = -h - 3, -3*h - 2*w = -6*w - 1. Calculate h*x(b) - 5*j(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-112)\/35*5\/(-2). Let p(q) = 5*q**3 + 2*q**2 - q. Let m be p(1). Find the third derivative of 0*u**2 + 8 + 3*u**2 - 4*u**m - i wrt u.\nAnswer: -480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(75) + -1 + 0 + 5)**2.\nAnswer: 20*sqrt(3) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*s + 883 + 4871 = 219*s for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -4, -743 in descending order.\nAnswer: 0, -3, -4, -743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 24 in descending order.\nAnswer: 24, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 + -48. Let g be (10\/(-15))\/((-4)\/(-30)). Put g, 0, q in decreasing order.\nAnswer: 0, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 277693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 + 3*g**2 + 0*g**2)*(2 - g - 2) + ((-4*g + 3*g + 2*g)*(0*g + 2*g + 0*g) - 2*g**2 + 2*g**2 + g**2)*(-2*g - 3*g + g).\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 2. Let i(y) = -y**3 + 101*y**2 - 5*y + 504. Let h be i(101). Which is the biggest value? (a) h (b) -0.2 (c) -11 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b + -b6398?\nAnswer: -b6389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 - -59. Let o = 53 - 5. Calculate the remainder when o is divided by n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 - 9328*o**2 + 12461068*o + 30286852264.\nAnswer: -4*(o - 1786)*(o + 2059)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65 - -99. Let d = g + -25. Which is smaller: 8 or d?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -5*v**4 + v**3\/3 - 7*v**2 - 16*v + 2. What is the second derivative of h(t) wrt t?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15*24\/3960*(-16)\/(-2)\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 - 12606?\nAnswer: -12578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n. Let l(c) = 1117*c**2. What is l(o(s))?\nAnswer: 10053*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -7. Let y = 10 + j. Suppose 4*x - 12 - 12 = 0. Calculate the lowest common multiple of x and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/2, 4453, 73, 0.5, 4?\nAnswer: 4453","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001334066753 rounded to six decimal places?\nAnswer: -0.000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5371\/9 or 8544?\nAnswer: 8544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4823*g**3*m**2 + 1013*g*m**2 - 10568852*m**2 with respect to g.\nAnswer: 14469*g**2*m**2 + 1013*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (2 + 6 + 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31.19114 - 0.19214. Let f = h + -31. Let q = f - -0.0074. Round q to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122, -244, -368, -494, -622, -752?\nAnswer: -884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 7. Let z be n(-6). Let x be (-456)\/15*z*-5. Calculate the common denominator of 38\/11 and (1\/4)\/(2\/x).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 15\/(75\/330860) + 8\/20*10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2. Let c(u) = u + 6. Let v(j) be the second derivative of j**2\/2 + j. Let z(a) = -c(a) + 6*v(a). Determine k(z(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 11:18 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (1 - (-4 + (2 - -2)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1087509*b*k**3 + 109*b*k**2 + 2*k**2 + 3*k - 20 wrt k.\nAnswer: -6525054*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.5 (c) 5\/6 (d) 138245 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -17*n + 827 - 27*n - 33*n - 861. What is the units digit of q(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1347*t - 46 = -2*x + 1335*t, 2*t = -2*x + 16 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -3\/10 (b) 7 (c) 53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, -23294 in ascending order.\nAnswer: -23294, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(33)\/(-4*sqrt(704)).\nAnswer: -1 - sqrt(3)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 3*p - 18. Let v be u(3). Suppose v = -4*b + 35 + 25. Solve -4*r = -d + b, 5*r - r = 2*d - 18 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**3 - 2*w**3 + 4*w**3 + ((9 - 9 - 4*w**2)*(2 + 0 + 0) + (4*w - 6*w + 3*w)*(-5 + w + 5))*(-2 + 2*w + 2) - 34*w**3 + 69*w**3 - 36*w**3.\nAnswer: -17*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*g - z, g - 16 = -3*g - 2*z. Suppose x + 3*x = g*s, 0 = -4*s - 3*x. Let f be 4 + (-114)\/28 - 9\/21. Which is bigger: s or f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -431\nAnswer: -215.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -24, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-9) + 18\/81?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 - 9109290*q**4 + 1 + 9108033*q**4 + q**3 - 3*q + 0*q**3 to d + r*q**4 + v*q**3 + h*q**2 + n*q and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/36 - 4\/(-18). Let d = 3 + -8. What is the biggest value in -0.1, d, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 20163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**3 + 12*t**2 + 109*t - 244. Determine q(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 281842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) 1\/3 (c) -7\/29 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.37548 litres?\nAnswer: 5375.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3250 and 2564750.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 - -2. Calculate the greatest common divisor of x and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -74.1636 - 0.0364. Let c = m + 74.1999597. Round c to six decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -4*g - g + g - 71, -5*g - 9 - 28 = -11*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, 1\/3, 1, 14, -1\/9 in descending order.\nAnswer: 14, 1, 1\/3, -1\/9, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7149595 and 3805.\nAnswer: 3805","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((5\/(-9))\/(((-667)\/(-29))\/(-69)))\/((-330)\/22572)\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 19*w - 7*w - 3*w**2 + 13 + 14*w + 11*w - 8*w. Determine o(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 6:03 PM?\nAnswer: 642","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -9*t - 88. Let u be n(-13). Calculate the greatest common divisor of 232 and u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2\/9 + 44756*g\/9 - 44750\/3 = 0. Calculate g.\nAnswer: 3, 22375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 200519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/26169 and -32\/915.\nAnswer: 130845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*c**4 - 399*c + 15*c**2 + 236*c + 159*c - c**3 to b*c**4 + u*c**3 + j + x*c + f*c**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r + r + 3 - 4*r**2 + 4 - 7*r**2. Let k(n) = -32*n**2 + 14*n + 20. Let j(b) = -6*k(b) + 17*w(b). Is j(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4.84 (b) -2 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-1)*(-32)\/4. Let m = x + 14. Let k = m - -23. Solve 0*w - 2*w = -k*g - 11, 13 = -5*w - g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**1*j)*j*j**(-1\/19))**(6\/35)\/((j**7\/((j**(2\/7)\/j)\/j))\/(j**(-1\/2))**(1\/43)) assuming j is positive.\nAnswer: j**(-499551\/57190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*s + 0 + 2\/7*s**2.\nAnswer: 2*s*(s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -76*l**3 - l**2 + 2*l - 1. Let q be b(1). Let z = q - -85. Let t be 365 + 3\/z + 21\/(-9). What is the greatest common divisor of 33 and t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5674215, 11348431, 17022647, 22696863, 28371079, 34045295?\n\"Answer: 5674216*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 9. Suppose q*z = 2728 + 314. What are the prime factors of z?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32608?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12082 and 84.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 17 - 34 = 3*q, 22 = 2*c + 4*q. Suppose -c = -4*j + 5. What is the tens digit of ((-24)\/j)\/(11\/(-55))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 37?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/16, -4.2, -31, 0.06 in ascending order.\nAnswer: -31, -5, -4.2, 0.06, 1\/16","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 7:31 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/(1*-1))\/((76\/24)\/(10792\/(-2272)))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.3 + -0.3. What is the third biggest value in -1, 5, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, q: 9, w: 9}. Give prob of sequence bq.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -515*t = 1567*t - 104100 for t.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1210 and 259061?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 15*p + 14*p - 8*p)*(-5*p + 0*p - 2*p).\nAnswer: -147*p**2 - 14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 323?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13\/5 in 483, -0.4, 1\/7, 0, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + 25413074.\nAnswer: 25413035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -7103347.06 to the nearest ten thousand.\nAnswer: -7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 177 - 173. Suppose 4*u - 596 = x*k, 4*k = 6*k - 8. Is u a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 6*m**2 + 61*m - 136. Calculate r(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2 - 3*q + 2. Suppose -j - 2 = -2*j. Let m(s) = -4*s - 5 - 2*s**j + 5 + 2. What is -5*h(n) + 4*m(n)?\nAnswer: 2*n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 562, 9, -2, 3, -5, -4 in increasing order.\nAnswer: -5, -4, -2, 3, 9, 562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 14*y + 7. Let u be h(-15). What is the units digit of u\/12 + (-58)\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 12022002110001?\nAnswer: -12022002102212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**4\/24 - z**3\/2 + 14*z**2 + 2. Let m = 0 - 0. What is l(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p**2 + 0 + 0 + 36*p**2.\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 20\/9 (b) -112 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 174077741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n - 22. Let l be 2\/((-84)\/(-140)*5\/(-6)*-1). Determine g(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.99 - -0.01. Let f = -0.9 + i. Put -14, 0, f in ascending order.\nAnswer: -14, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -309 (b) 3 (c) -16646 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, g: 1, w: 1, r: 2, l: 1}. What is prob of picking 2 r?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*d**2 + 187*d**2 - 367*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-132))\/((-12)\/(-33))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -28466506617044.\nAnswer: -28466506617043.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 3*h + 7. Let z be d(-2). Solve 13 = -5*a - x - 0*x, 2 = z*a - 4*x for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-424)\/12 + 30\/(-45)*1 + -12\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 6 - 5*k**2 + 4 - 8. Let n be x(5). Let g(r) = -2*r + 2*r + 5*r - n*r. Let a(o) = -3*o**2. Calculate a(g(b)).\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14, -156, -538, -1280, -2502, -4324, -6866?\n\"Answer: -20*g**3 - 2*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 1010?\nAnswer: 11110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + (-3*6*-4*(sqrt(153) + 1)*6)**2*2.\nAnswer: 2239488*sqrt(17) + 57480192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qqqqqqqqhqqhqqqqqqqh?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(38) - sqrt(1368))\/sqrt(2) - (sqrt(76)\/sqrt(4) + -4)).\nAnswer: -12*sqrt(19) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272) + -5 - (3*sqrt(85))\/sqrt(5).\nAnswer: -5 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 2*w + 3710. Let h be n(0). Suppose h + 1082 = 4*m. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = 16*u - 108. Let q be 5 + (u - -7) - -3. What is the highest common divisor of q and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4308 + 4330. Solve 4*x + d = -3*n, 4*n - 7*n - 10 = x for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1694840*1.1\nAnswer: -1864324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/(-4)*17\/((-595)\/(-6846)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 170 divided by 5\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 320 + -309. What is the remainder when 476 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 764 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -3\/5, -402?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 31 = -15 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*t - 21 = 2*p, -8 = -p - 4*t. Let d(v) = 2*v**3 + 18*v**2 + 19*v + 16. Let c be d(-8). Do c and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -114, 5, 129.\nAnswer: -114, 5, 18, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j + 9. Let l be d(2). Sort l, 1, -1.\nAnswer: -1, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -11\/2*w**4 + 0*w**3 + 0*w - 9 - w**2. Find the second derivative of j(m) wrt m.\nAnswer: -132*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o\/(o\/o**(1\/7))*o*o)\/o)\/(o**(-5\/4)\/o) assuming o is positive.\nAnswer: o**(123\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*l = -24. Let g be (l + 1)\/(-3)*0. Suppose -12 = -2*k + 2*r, -13*k + 11*k - r = -15. Solve f = m + 3 - 1, -f + 4*m - k = g for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(2\/21)\/(-3*(-24)\/(-63))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z. Let f(g) = -g. Let u(o) = 5*f(o) + q(o). Let b(t) be the third derivative of 5*t**4\/24 + t**2. Give u(b(k)).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 3*w, 10*c + 3*w = 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 26*h**2 + 26*h + 2. Let g be d(-27). Let z = -23 + g. What is the second derivative of 3*x**3 + 4*x + z*x + 2*x + 7*x**3 wrt x?\nAnswer: 60*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-5) - (-28)\/(1960\/(-42)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*n - 10*n + 10*n)*(-3 + 3 - 3*n) - 5*n**2 + n**2 + 2*n**2.\nAnswer: -119*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*1*(-2)\/48. Let x = q - 107\/168. Let f = -2 - -3. Which is bigger: x or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j + 15 = 5*q, 0 = 2*j + 19*q + 16*q - 30*q - 15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354828451.\nAnswer: 149, 307, 7757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 549085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-4 - -3)) + 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -143*i**2 - 6*i - 10. Let m be d(-4). Let s = 3559 + m. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1220169*c**2 - 144*c*q**3 - 2672*q**3 + 200*q**2 + q + 8 wrt c?\nAnswer: -2440338*c - 144*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**2\/2 - 620*y + 192200 = 0.\nAnswer: 620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0538, 109, -1\/3, 0.3, -0.1 in ascending order.\nAnswer: -1\/3, -0.1, 0.0538, 0.3, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, b: 4, o: 2}. What is prob of sequence bbxb?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - (-2)\/4)*(-56)\/4. Let o = 312 + -221. Let x = o - c. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-7 - -4) + (-10)\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7796 by 16.\nAnswer: -1949\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 61 and 671.\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.1294, 7.46, -2, -5, -3 in decreasing order.\nAnswer: 7.46, 2\/7, -0.1294, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 2 - 3)*(-l + 1 - 1) to t*l + s and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 190 = -2*g, -w + 13 - 2 = 5*g. Which is smaller: 37 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*b - 245. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 m when two letters picked without replacement from {d: 1, m: 2, q: 4, i: 4, r: 5}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 + 4*p - 5 - 2*p + 4522*p**3 + 30 - 20.\nAnswer: 4522*p**3 - 2*p**2 + 2*p + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 39, -2\/15, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2320*0.1\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 775*k**2. Let d(a) = -a**2 - 57*a - 41. Give d(h(w)).\nAnswer: -600625*w**4 - 44175*w**2 - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 784 is divided by 210.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2885701020?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, b: 1, k: 7, x: 5}. What is prob of picking 1 x and 1 k?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a - a**2 - 702779*a**3 - 1 + a**2 - 3*a**4 + 702768*a**3 to z*a**2 + k*a + x*a**4 + p*a**3 + q and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 117722 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 221 + -219. Solve -k - 1 = -l*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5\/11))**(2\/19) assuming d is positive.\nAnswer: d**(-10\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -320*v**2 + 12*v + 6. Give x(-1).\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 9*l - 51. List the prime factors of k(23).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -2 + (0 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i**2 + 6. Let o(s) = -9*s**2 + 11. Let m(r) = 11*b(r) - 6*o(r). Let h be m(2). Calculate the common denominator of -97\/2 and (-2)\/h - 308\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + t + 147, 5*y + 19 - 157 = 4*t. Suppose -2*p = -p - y. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10445121 and 12766259.\nAnswer: 114896331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 264, 260, 252, 240, 224, 204?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 1:58 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 332742\/15)\/(18660\/(-750) + 25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**3 + 13*y**2 - 2*y - 9. Let t(z) = 5*z**3 + 20*z**2 - 3*z - 14. Let o(r) = 8*i(r) - 5*t(r). Let u = -35 - -38. Give o(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 453\/(-51) - (-14 + 5).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and 146341255884762.\nAnswer: 146341255884757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*l - 15*l + 34*l)*(486 - 266 - 268).\nAnswer: -528*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002231 (base 7) in base 4?\nAnswer: 130322313","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 34*s + 38. Let l be t(-4). Let c = l + 143. What is the greatest common factor of c and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzf when three letters picked without replacement from {f: 3, z: 6, r: 3, j: 5}?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -127, -173, -243, -337, -455, -597?\n\"Answer: -12*x**2 - 10*x - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*y + 108*c - 46 = 110*c, -5*y - 4*c = -0*y + 13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1556)\/(-4279) + (-54)\/88)\/((-1)\/4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -17390, 1\/2, 1\/7, -1\/4?\nAnswer: -17390","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + j + 5. Let a be 6 + 0 + (-8)\/4. Give r(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17629 times -243\nAnswer: 4283847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 1573?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sllslll. What is prob of picking 4 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -z**6\/14 - 3*z**5\/5 + 123*z**4\/28 - 37*z**3\/7 - 60*z**2\/7 + 132*z\/7 - 3032. Let c(x) = 0. What is x?\nAnswer: -11, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*(w*w**(-8))\/w)\/((w\/(((w\/w**(-4))\/w)\/w))\/w))\/(w**(-2\/5)*w**(-1\/3))*(w\/(w\/w**(1\/4)))**0\/(((w\/(w**(3\/7)*w)*w)\/w)\/w*w**(1\/5)) assuming w is positive.\nAnswer: w**(-109\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -92 (b) -1792.4 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 4*j**2 + 3*j + 6. Is i(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**2 - 6*p. Let z(g) = 4*g**2 + 11*g. Let c = 32 - 23. Let m = c - 20. What is m*j(n) - 6*z(n)?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70650816701 + -2357.\nAnswer: 70650814344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 10110010111011011000100100?\nAnswer: -10110010111011011000011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - 465*t - 131*t - 5*t**2.\nAnswer: -5*t**2 - 593*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -15*z + 7*z + 32. What is the remainder when 1757 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -152 + 232. Calculate the highest common factor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.14 - 0.54. Let k = -0.8 - -1. Which is the second biggest value? (a) t (b) 1\/3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -20*o + 5. Solve -2*p + 6 = -o for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ukbksnc. Give prob of picking 1 n, 1 u, and 1 s.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 535007 is divided by 370.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -3\/4*k**8 + 0 + 0*k**2 + 0*k**7 + 0*k**5 - 13\/12*k**4 - 19*k + 0*k**6 + 0*k**3. What is the third derivative of p(j) wrt j?\nAnswer: -5040*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -626 (base 8) to base 10.\nAnswer: -406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 303.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + (-126)\/(-27))*(-2)\/(12\/(-54))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 6*h**2 - h + 4. Suppose 0 = 5*s - 33 + 3. Give y(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 m when two letters picked without replacement from wgvmvvvvvwvvvwx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3204 and 1869.\nAnswer: 22428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-13 + 16) + (-3)\/(-2 - (-49)\/23)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1462473 is divided by 10227?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)*-2)\/sqrt(10))**2*-2.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39320 or -0.94?\nAnswer: -39320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9766250 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2816 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4350067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 198 = 141. Let v = u + -111. Let h(r) = r - 1. Let a be h(6). Solve 0 = -0*f - f + v*c + 1, -2*c + a = 5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -5\/18, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 14. Let u = -5.1 + z. Which is the closest to -1\/2? (a) 0.2 (b) -5\/2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 21. Let v = x + -6. Suppose 4*d = 2*b - 16, 0 = 3*b - v*d - 3 - 15. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*x - 3*x**3 + 15*x + (2 - 3*x**2 - 2)*(0*x + 4*x - 3*x).\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 o when four letters picked without replacement from {d: 1, q: 7, o: 5, x: 6}?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 31171.73 minutes in microseconds?\nAnswer: 1870303800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 776760*q**3 + 52913?\nAnswer: 2330280*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-45) - 16\/(-9). Suppose 8*u + 8 - 32 = 0. What is the greatest common factor of t and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155476, -155473, -155468, -155461?\nAnswer: -155452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7*(-9)\/(-36))\/((-20)\/240)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 6. Let o = c + 7. Solve 4*i + 0 = -h - o, i + 4 = 3*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 10*n = -4*i + 21, -3*n + 23 = 5*i. Does -15 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 3*h - 96 = 0, -201 = 8*u - 2*h - h for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14746 + 9667. What is the thousands digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by 650\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 945*c*s**3 + 1360*s**3 wrt c?\nAnswer: 945*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 4*r - 31, -2*r - r + 2*b + 18 = 0. Suppose r*z - 43 = 2*s + 117, -3*z = 2*s - 127. Does 16 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -184*f + 1150. Calculate the remainder when 4045 is divided by z(6).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirteen eighths of a hour?\nAnswer: 5850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/150 and 97\/48.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5*(-6*sqrt(57)\/sqrt(3) + 1 + sqrt(304)) + 2))**2.\nAnswer: -240*sqrt(19) + 7636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 27810*s + 278085. Determine g(10).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 7. Let b be r(7). Let t be -16 - b - (-2 - 0). Let d = t - -35. What are the prime factors of d?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + n + 3*q = -4*n - 9, 4*q = 5*n - 271 + 199 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 14 = -31*v + 28*v, 2*v + 5*u = 18 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -12*w + 1\/6*w**3 - 1\/48*w**4 + 0*w**2 + 0. Factor s(b).\nAnswer: -b*(b - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -13. Let p = -1 - s. What is the third smallest value in p, 5, -2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48054907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5255\/(-50) + (-1)\/(-2). Let i = l - -104. Is i >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(432) + sqrt(432))**2 - (sqrt(24)\/(sqrt(24)\/sqrt(3)) - sqrt(3) - sqrt(3))**2) + -2 + ((-3 + sqrt(33)\/sqrt(99))*6)**2 + -4.\nAnswer: -216*sqrt(3) + 2064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12803 or -12829?\nAnswer: -12829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 28206086, 56412172, 84618258?\n\"Answer: 28206086*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -c**5\/30 - 19*c**4\/3 - 1444*c**3\/3 - 6*c**2 + 11. Suppose u(q) = 0. Calculate q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110011110 (base 2) to base 9.\nAnswer: 1867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8.3*10\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 296 - 186. Let z(n) = -u*n + 38*n + 38*n + 36*n. Calculate z(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z + 3. Let u be a(4). Suppose -5*o + 10 = -0*o. Let x(h) = -2*h**2 + 0 + 2 - h**3 - o*h**2 + 3*h + 0. Calculate x(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wd when two letters picked without replacement from {e: 1, w: 1, p: 1, d: 2, a: 1, u: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 18 = -4*m + 22, 0 = -m - l + 14. Let g be (m\/10)\/((-4)\/14). Let b = g + 19\/5. Which is smaller: 0.1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -208.\nAnswer: -5\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 563069299*j**3 + 364384611?\nAnswer: 1689207897*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 25*b - 34. Let v be t(20). Calculate the highest common factor of 99 and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -14. Let o = 0 - 0.5. Which is the closest to -1? (a) -0.4 (b) r (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3385169107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -101, -2\/7, -4, -2, -37\/5?\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1676*c**2 - 8 + 1535*c**2 - 3045*c**2 - 2*c in the form r + p*c**2 + j*c and give p.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**3 - 12*j**2 + 31*j + 15. Calculate n(-7).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(7) + -1)*-2)**2.\nAnswer: -8*sqrt(7) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 32042207 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f. Let t(s) = -309*s. What is t(u(i))?\nAnswer: -927*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-480)*-20)\/((-1)\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from skkfkckkksms. Give prob of sequence kcs.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-126)\/(-24) + (11\/4 - 3). Suppose -l*s + 22 = t - 83, t = -s + 25. Let v be 1 + 8\/s*10. Solve -m + 13 = i + m, 5*i = 5*m + v for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5781*a + 5783*a - 8*a**2 + 98 + 14 to the form f*a + w + y*a**2 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -10. Suppose -3 = -s + 3*f - 2*f, 3*f = -3*s + 3. Suppose 3 = s*d + c*n, -n - 4*n = 5. What is the remainder when 7 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/6 and -5\/465953.\nAnswer: 2795718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68725.54ml to litres.\nAnswer: 68.72554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 501 - 293. Suppose 188 + k = 4*u. Suppose 108 = -3*c + 141. What is the greatest common factor of u and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8 - 2*t**2 + 49 - 20 wrt t?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(4\/7))**43)**(8\/5))**35)**(-34) assuming a is positive.\nAnswer: a**(-46784)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 578*r - 38826 + 38826 to the form u + t*r and give t.\nAnswer: 578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: Calculate the highest common divisor of 305 and 13654240.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12787 - 8220. What are the prime factors of k?\nAnswer: 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*(442\/12)\/13*3. Solve -5*k + s - 41 = 5*i, -2*k = -4*i + 14 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 435*k - 1667 - 14863 = 0 for k.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-6)*(-14)\/(-7))\/2\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 59821 to the power of 1\/2, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 194767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 6*g**2 + 4*g - 2. Suppose 3*i + i = p - 27, 5*p + 3*i = 20. Let x = -11 + p. Calculate the remainder when 41 is divided by b(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -168?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t**3 - 37*t**2 + 35*t + 76. What is d(-8)?\nAnswer: -524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49082?\nAnswer: 2, 11, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 13*g**2 - 13*g - 11. Let s be l(14). Let o = 9 - 5. Put s, o, 0 in descending order.\nAnswer: o, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 + 31. Let d(p) = p - 1. Let s(o) = 4*o + 4. Let a(g) = 3*d(g) - s(g). Calculate a(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3683205310 a multiple of 429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*z**3 + 91620*z**2 - 182149*z**2 + 90529*z**2.\nAnswer: -44*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m**(-26\/3)\/m*m))*m)\/(m\/((m\/(m**(-1\/54)\/m))\/m*m)))\/(m**35\/(m*m**(1\/5)*m)) assuming m is positive.\nAnswer: m**(-10651\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 693661 to the nearest 1000.\nAnswer: 694000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -445 + 673. Calculate the highest common factor of g and 152.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 4:45 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2*(sqrt(108) + -1)**2 + 4) + 5)*-6 + -5.\nAnswer: -2603 + 288*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x + 1. Let u(s) be the first derivative of -9*s**2 + 6*s + 1. Let b(j) = -j**2 + 7*j - 1. Let p be b(7). Let z(t) = p*u(t) + 6*f(t). What is z(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4.39 and 369.44612?\nAnswer: 373.83612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, n: 1, g: 2, y: 3}. What is prob of picking 2 g and 2 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 + 35285*f**2 - 141080*f + 141060.\nAnswer: -5*(f - 7053)*(f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 154911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 3*v + 1. Let x(z) = -z**3 - 4*z**2 - 371*z + 4. Calculate x(q) - 4*y(q).\nAnswer: -q**3 - 359*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 12:29 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -3*h**2 + 135834*h - 1537572963 = 0.\nAnswer: 22639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, -1\/22, 5?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 3544 = -15544. What is l rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54137 is divided by 1082?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*m - 3*i + 3, m + 6 = i. Let p(b) = -b + 4. What is the units digit of p(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2195893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12116587*-1.2.\nAnswer: 14539904.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (9 + -9) - (-1 + 8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (5*sqrt(320))\/sqrt(10))**2*2 + 1.\nAnswer: -240*sqrt(2) + 1619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 655303 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-466)\/1864)\/(2\/(-104)*3)?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in 2\/5, 60, -31, -0.28, 3, 11\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(88)*3)\/((1*sqrt(88) + sqrt(88))\/sqrt(11)) + 1 - ((sqrt(330) + -1*sqrt(330))\/sqrt(10))\/(sqrt(30)\/(-2*sqrt(10))).\nAnswer: 1 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1350 and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2241 = -75*s + 3216 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1150 = 211*x - 44*x - 2190 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 7798*m - 793. Is k(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**3\/7 + 47820*n**2\/7 - 287013*n\/7 + 34170 = 0.\nAnswer: -15946, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r\/r**(1\/6))\/r))\/(r**(-5\/6)\/r)*(r*(((((r\/((r**1*r)\/r*r))\/r)\/r)\/r)\/r)\/r)\/r**(-2) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -6*f + 2. Put -5, -0.09, f in increasing order.\nAnswer: -5, -0.09, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*10)\/(37988\/18994).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q**2 - 34 - 2*q**2 + 6*q**2 with respect to q.\nAnswer: 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of 1083*v**8\/56 + 17*v**4\/6 + v**3\/2 + 106*v**2 + 3*v + 1. Find the second derivative of c(o) wrt o.\nAnswer: 129960*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -111\/4, 0.3 in increasing order.\nAnswer: -111\/4, -5, -3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**3 + 2*j**2. Let i be (5\/10)\/(2\/4). Let x be i\/4 + 21\/(-4). Let z(u) = 6*u + 2*u**2 + 2*u**3 - 6*u. What is x*z(a) + 4*f(a)?\nAnswer: -2*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(25\/2)*w*w**(2\/7) assuming w is positive.\nAnswer: w**(193\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(36\/(-12)*(-4)\/3). What is the nearest to 0.1 in -2\/23, u, 6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v - 919 = 3397. Let d = v + 387. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3230 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7555 divided by -1511?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 8*b - 33. Determine u(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 19. Let a(f) be the second derivative of f**5\/20 + 5*f**4\/6 - f**3\/2 - 5*f**2 + 143*f. Let t be a(o). Round t to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10 + (3 - (-2 - -3)). Let t = -8 - a. Is 2 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**2 + 2*p - p - 3*p + 0*p + 7. Let o be h(-3). What is the highest common factor of o and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from reevzrrrejv. Give prob of picking 1 z, 1 j, 1 e, and 1 v.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5394 and 4728740.\nAnswer: 1798","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/2)\/(1\/(-2)). Let d(t) = 30*t**3 - 36*t**2 + 28*t - 1. Let w(j) = 11*j**3 - 13*j**2 + 10*j. Let i(v) = -4*d(v) + 11*w(v). Give i(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/425088 and -19\/46494.\nAnswer: 2975616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13 and -29.\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gm when two letters picked without replacement from nddfmgng.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -67, -392, -1345, -3262, -6479, -11332?\n\"Answer: -56*y**3 + 22*y**2 + y - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 + 10*c - 36*c + 0*c**2.\nAnswer: -c**2 - 26*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-69)\/8)\/(((-13)\/(-8))\/((-1651)\/(-508)))?\nAnswer: -69\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -882.\nAnswer: -883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 + 34103525?\nAnswer: 34103501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -167 and 18.5735.\nAnswer: -3101.7745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) 0.4 (c) 0.003\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 250 and 88625?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**3 - d**3 - d**3 + 2 + d**3 - 2 + (-d + 3*d - 4*d)*(3*d - 3*d - d**2) - 12*d**3 - d**3 + d**3 to l*d**3 + r*d + i + s*d**2 and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 9*l - 13. Let z(q) = 4*q - 4. Let k(u) = 2*x(u) - 5*z(u). Let y(b) = 4*b + 11. Calculate 5*k(v) + 3*y(v).\nAnswer: 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*v + 3*l - 190, v - l - 182 = 0. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(12)\/(sqrt(8)\/sqrt(4))))**2 + (-1 + (sqrt(2) - (sqrt(2) + 1)))**2*3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - u**3 + 5)*(3*u - 2*u - 2*u)*(0 - 1 + 109*u - 17*u).\nAnswer: 92*u**5 - u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-1) - (-8)\/(-2) - -244. Suppose -1988 = 242*q - z*q. List the prime factors of q.\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -12, 12*o - 11*o - 3759 = -4*m. What are the prime factors of o?\nAnswer: 19, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*1\/(-6) + -11.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1400 and 2231775?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3124 and 710?\nAnswer: 15620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -26030, -26038, -26046, -26054?\n\"Answer: -8*d - 26022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/12 of a minute?\nAnswer: 65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -1 - (-6 + -1). Suppose -j*h = -3*h - 20. Suppose -z - 5*f - 7 = 0, -15 = -3*z - 0*z - 3*f. Calculate the least common multiple of z and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 3*x - 2*x)*(-5 - 2 + 3)*(4 - 7 + 4).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 77951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y. Let v(f) be the third derivative of -f**4\/12 + 3463*f**3\/6 - f**2 + 18*f - 59. Calculate v(a(q)).\nAnswer: 2*q + 3463","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*t - 61*t + 700. Solve b + 14 - t = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -5*l + 4*b, -1 = 4*l - 0*b + 5*b. Let v(f) = f + 24. Let y be v(0). Suppose -s = 2*n - y, -l*n + 2*n - 12 = 0. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 21652565 and -0.73.\nAnswer: 21652564.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 220980 and 3048.\nAnswer: 441960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11828894?\nAnswer: 2, 7, 11, 10973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 760423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b = 21*b. Solve g = 2*v - 7, 3*v - v - 4*g - 22 = b for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-26038)\/1256)\/(2\/4). Let y = 6\/157 - r. Calculate the common denominator of y and ((-702)\/56)\/(14\/((-196)\/(-21))).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-8))\/((-2)\/(-8)). Let a be (2\/(-4))\/((-4)\/56). Suppose a*i - 10*i = 0. Solve -z*g - 1 = -i*w - w, -3*w = g - 17 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -1)\/(8\/(-48)). What is the units digit of 33\/g - (-2)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1445 and 180?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 114578 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*s**3 + 45*s**3 - 52*s**3.\nAnswer: 15*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/4000*-10*(-32)\/6.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21\/124 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -44974016 + 0.1\nAnswer: -44974015.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (3 - -1) + (33 - 59).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 + (-41 + 7 - (0 - 17)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbasaeabjsess. What is prob of picking 1 b and 1 s?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = w + 11. What is the remainder when 978\/w + (-4)\/6 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 y, and 1 b when three letters picked without replacement from sbbsyfsbffbbsbyfbbs?\nAnswer: 64\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d + 67f5?\nAnswer: 6802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 4:46 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (3 - 0)\/(-3). Suppose -f + 11 = g, -z*g - 13 = -6*f + 3*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -1. Solve 2*g - 4*p = 6 + 4, v = -5*g - 3*p - 27 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-6 + 4 - 17) - (-17 - (-17 + -2))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 32\/80 - 3\/45. What is the smallest value in -0.5, j, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + w + w + 66 = 0, -44*w - 48*w + 90*w = 6*u + 62 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 76 - 4?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*t + t = 62, -3*k - 4*t = -43. Suppose 11*o = 15*o - 16. Solve f + o*w - k = 0, -8*f + 3*f = w + 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w - 19*w - 36980 = z, 4*z = -w + 18481. What is the ten thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 2*c + 6. Suppose -8*g - 207 + 1039 = 0. Let f(h) = 48 + h + 66 - g. Let k be f(-6). Determine u(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 40*f + 38. Give j(39).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17001?\nAnswer: 3, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 88934.75 decades?\nAnswer: 889347.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24665 + 24779. Which is bigger: 13 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15647?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 12*g**2 - 86*g + 32. What are the prime factors of y(18)?\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 7 = 5*l + 4*s, 5*l = 4*s + 24. Let n(i) = -i**3 - 28*i**2 + 21*i + 573. Let b be n(-28). Is (b\/(-5) - l)*2302\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-96)\/10)\/8)\/(4\/10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47*j**3*x**2 + 7026*j**2*x**3 + 13*j*x**3 + 2*j*x**2 - 2*j*x - 49*j + 4*x wrt j.\nAnswer: 282*j*x**2 + 14052*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 46832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 1. Let l be (-3)\/(-4)*n*1. Suppose -i = 5*s - 18, 4*i - 1 = 3*s + 2. Is s equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 10 = 4*s - 0*s, 0 = -5*x + 4*s - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 107566, 215139, 322712, 430285, 537858?\n\"Answer: 107573*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 36\/11?\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 3*l - 1\/6*l**3 + 0 + 0*l**2. Let d(o) = -17*o - 19*o + 37*o. Give d(t(z)).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 12 + 47)*(16 + 2 - 3)*(-2 + 2 + n).\nAnswer: 210*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.35 - -757.1?\nAnswer: 758.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6545120 less than 3327.2?\nAnswer: -6541792.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 30*v + 34*v + 5, 2*v + 16 = 4*s. Let f(q) = -q**3 + 10*q**2 + 25*q - 9. Calculate the remainder when s is divided by f(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -561 + 17*p**2 + 561.\nAnswer: 17*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 10 = -4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 40 - -50?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15.079355 and -8.739.\nAnswer: 6.340355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5297, 10586, 15879, 21176?\nAnswer: 26477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*i**3 - 143*i**3 + 53*i**3 + 48*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(490\/(-63))*(-120)\/(-18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 6:24 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 - 217792*k**2 - 3921628*k + 4139416.\nAnswer: 4*(k - 54466)*(k - 1)*(k + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 114088.5 rounded to the nearest 100?\nAnswer: 114100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -3107?\nAnswer: 3111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -62946418170005 less than -1?\nAnswer: 62946418170004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 58.02777863?\nAnswer: 70.02777863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 4*o - 4, 4*v + 11 - 13 = -2*o. Suppose -4*x + 9 = -x. Solve -2\/5*f**x + 0 + 0*f**2 + 2\/5*f**5 + v*f**4 + 0*f = 0 for f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2214.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u - 4*u + 6*u + (-1 + 0 - 2)*(-1 + u + 1))*(1 + 0 + 0) - 1511*u - 917*u + 876*u - 1224*u to v + f*u and give f.\nAnswer: -2777","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 32167 divided by 4\nAnswer: 32167\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 413.83286 days?\nAnswer: 59.11898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*((u*u**(-7)*u)\/u)\/u)**(1\/23) assuming u is positive.\nAnswer: u**(-6\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -14*c**2 + 17*c + 20. Let k(d) = 5*d + 2. Let r be k(3). Let n(z) = 5*z**2 - 6*z - 7. Give r*n(g) + 6*l(g).\nAnswer: g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(2 + 2 + -7). Suppose a - 3 = -d*s + 1, -4*a = 20. Solve 0 = n - s, -2*m + 2*n = -7*m + 31 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*m = -717 + 12234 + 3733 for m.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(33\/5))\/y*y\/(y**27\/y*y) assuming y is positive.\nAnswer: y**(-97\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 403\/17 in -5.4, -0.55, -4?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) 5\/3 (c) 0.4 (d) -2 (e) 1\/102\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -48 + 169*w + 43 + 56 in the form r + x*w and give r.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 898*k + 1 + 20*k**2 + 895*k in the form u*k + t + l*k**2 and give l.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/sqrt(2)*5*-1 + (0 + sqrt(50) + (sqrt(2) - (1 + sqrt(2)))*-3)**2.\nAnswer: 25*sqrt(2) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 40*q**3 + 64*q**2 - 2*q - 125270 wrt q.\nAnswer: 120*q**2 + 128*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 8112.\nAnswer: 24336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - -0.5. Let r(n) = n + 12. Suppose 3*o - 4 = 2, 5*o = -3*s - 26. Let d be r(s). What is the closest to d in 4\/9, v, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**5 + 4*z**4 - 11*z**2 + 4. Let w(i) = 2*i**5 + 3*i**4 - 10*i**2 + 3. Let n(t) = 3*o(t) - 4*w(t). Find the third derivative of n(d) wrt d.\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d - 6*d + 2882 = 0. List the prime factors of d.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29975 = 25*p + 30*p. Let a = p - -581. What is the nearest to -1 in a, -1\/5, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z**3 - 2*z**2 + 1. Let t be b(1). Let r be (-3 + -111)\/(-6)*-3. Let n = r - -60. Which is greater: n or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 514*w**2 - 9 - 135*w**5 + 17*w**5 - 515*w**2 wrt w.\nAnswer: -7080*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/180 - 18\/81?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 + -55. Suppose -4*j - f = s - 1, 0 = -4*s - j + 37. Calculate the smallest common multiple of 22 and s.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-1)\/((-5)\/20*(-12)\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14036 - -42107\/3. Which is the second smallest value? (a) z (b) -2\/11 (c) 7 (d) 10\/9 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-35)\/(-5))\/((-49)\/(-14)). Put -6, -304, 0, n in descending order.\nAnswer: n, 0, -6, -304","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -673 - -788. Is j <= 118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2863, 2934, 3075, 3304, 3639?\nAnswer: 4098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 22 - (159 + -161).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1078 by 71.\nAnswer: 1078\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 460639220 and 430?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5433*z**3 - 4513 + 34933 + 10821*z**3 + 3*z**4 - 5520*z**3 + 13884*z + 825*z**2.\nAnswer: 3*(z - 26)**2*(z + 3)*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(24\/(-54)*18)*-32?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4 = -2*g, -2*f = -5*f. What are the prime factors of (-49)\/g - 2\/4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 8*t - 2*r + 27, -19 = 4*t + 3*r for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 - 12?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 1 (b) -33 (c) 1\/8 (d) 21\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1284, 2505, 3722, 4935, 6144?\n\"Answer: -2*t**2 + 1227*t + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 761 - 97. Let f = -156 - x. What is the greatest common divisor of 22 and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of r**7\/840 - 7*r**6\/360 + r**5\/60 - 5*r**4\/24 + 8*r**3 - r**2 + 125. Let t(x) be the third derivative of g(x). Give t(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -16*d**2. Let j(a) be the third derivative of a**5\/12 - 95*a**3\/6 - 13*a**2 - 7. Let t(g) be the first derivative of j(g). Calculate v(t(m)).\nAnswer: -1600*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w - 4 - 10. Which is the second smallest value? (a) w (b) -0.2 (c) 1\/10 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.0903, -131, -1.5 in descending order.\nAnswer: 4, -0.0903, -1.5, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -8. Let u = 15 + -11. Differentiate 1 - 5*l**4 + 2*l**4 + g - l**u with respect to l.\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6083718 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*y**2 - 2 + 10*y - 8*y - 93*y.\nAnswer: -19*y**2 - 91*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**7\/105 - 7*j**6\/60 + j**5\/10 + 19*j**4\/12 - 14*j**3\/3 - 176*j**2. Find d, given that q(d) = 0.\nAnswer: -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = -121*g - 376 - 128. Which is the second biggest value? (a) -28 (b) 2\/3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5*0.172330862\nAnswer: 0.86165431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -62*i + 291. Let y(g) = -7*g - 12. Let d(v) = -l(v) - 3*y(v). Calculate d(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4546 + 5059. Calculate the greatest common divisor of 5985 and y.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - r - 3*r)*(2*r**2 + 16*r**2 + r**2)*(0 + 0 - r) + (5*r - 2*r - r)*(r**3 + 0*r**3 - 3*r**3 + (3*r**2 + 3 - 3)*(-r + 4*r + 0*r)).\nAnswer: -5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**3 - 4*b**3 + 11*b**4 - 10*b**4 + (-3 - 2*b + 3)*(-3*b**3 - 2*b**3 + 7*b**3).\nAnswer: -3*b**4 - 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37468*c + 0 + 56891*c + 0.\nAnswer: 19423*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1834 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85427520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -541997?\nAnswer: -1\/541997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28949399, -57898802, -86848203, -115797602, -144746999, -173696394?\nAnswer: -202645787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 4 = v + 2*l, l = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 9*a - 7. Suppose 0 = c + 4*m + 24, -4*c + 3*m + 2 - 3 = 0. Let l(n) = 2*n**2 - 8*n + 6. Let o(f) = c*d(f) - 5*l(f). Determine o(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02584 - 0.024. What is j rounded to five dps?\nAnswer: 0.00184","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5889154 to the power of 1\/3, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-16)*((-10)\/(-1) - 1656\/180).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -923 - -925. Factor 3*x**4 + g*x + 21*x**3 - 60*x**2 + 93*x**2 + 13*x.\nAnswer: 3*x*(x + 1)**2*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2. Let b(r) = 7*r**2 + 30*r + 119. Let g(z) = 18*z**2 + 72*z + 298. Let q(f) = -12*b(f) + 5*g(f). Determine s(q(w)).\nAnswer: 36*w**4 + 744*w**2 + 3844","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**7\/2520 + 7*s**6\/360 - 173*s**5\/720 - 7*s**4\/8 + 11*s**3\/2 - 11550*s**2. Let i(c) = 0. What is c?\nAnswer: -33, -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 108177640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 0.08, 441, -0.24?\nAnswer: 441","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) - sqrt(27))**2 - (sqrt(147) + -3).\nAnswer: -7*sqrt(3) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 7*f**5\/20 - f**4\/12 - 38*f**2 - 2*f - 24. What is the first derivative of t(u) wrt u?\nAnswer: 21*u**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3466 - -1?\nAnswer: 3500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 15 = -3*y, 4*o + 2*y - 8 = -3*y. Let s be ((-2)\/4 - o)*2. Find the third derivative of -6*c**4 + 4*c**4 + s*c**2 + 13*c**4 wrt c.\nAnswer: 264*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 63*t**3 - 27*t**3 - 29*t**3 + 0 - 12*t to w*t**3 + i + p*t + c*t**2 and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 x when four letters picked without replacement from fffx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**6\/180 + u**4\/24 + u**3\/3 + u. Let n(x) be the second derivative of w(x). Differentiate n(m) with respect to m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111148.\nAnswer: 2, 37, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (4 - 6) - (0 + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/276)\/(15\/10)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29 and 11869?\nAnswer: 344201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*w + 1568 = -5*w - 109*w for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -902 times -0.38771\nAnswer: 349.71442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 56075586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -168 (base 10) to base 14\nAnswer: -c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -16730, 84 in descending order.\nAnswer: 84, 27, -16730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of v**3 - 1493*v**2 - 3779*v wrt v?\nAnswer: 6*v - 2986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5998 - 4864 = -f - 2*r, f - 10827 = 5*r. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 3:40 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -73 and -0.052 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g**2 + 92910 - 92910 - 7*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4024828.\nAnswer: 2, 103, 9769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -3*(-2)\/(-3). Suppose -5*f + 15 = k, 266 = 5*c + 3*f - 203. Let h = -77 + c. What is the remainder when 73 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -139*z - 72. Let l be c(-3). What is the greatest common divisor of 276 and l?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-7 + 5)) + (0 - -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*w**3 + 0*w**3 - 79*w**3.\nAnswer: -26*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/4)\/2 - (-22)\/(-16). Let h = -16 + 11. Put t, 0.5, h in increasing order.\nAnswer: h, t, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -136522*y + 5051315. Calculate t(37).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2051\/25460 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 19133 times 0.2\nAnswer: 3826.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, o: 7}. Give prob of sequence ccc.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -227\/5 + 45. Let g = -6317\/2 + 3161. Which is the fourth smallest value? (a) 3 (b) g (c) -3\/7 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/1106083 and -27\/703871.\nAnswer: 7742581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.09534 years to months.\nAnswer: 1069.14408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -73, -13770\/73 in descending order.\nAnswer: 2, -73, -13770\/73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooolxeolloloookov. Give prob of picking 1 o, 1 k, and 1 x.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5*j**2 + 2*j - 1. Let l be b(1). Let v = l - -10. Solve -3*d = v + 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/9 >= -13\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -959, -1919, -2877, -3833, -4787, -5739?\n\"Answer: v**2 - 963*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 57.002 years?\nAnswer: 5.7002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 125519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 10135*u**2. Let r(d) = -2*d**2. Calculate m(r(o)).\nAnswer: 40540*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 381618 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (600\/(-375))\/((-2)\/5). Suppose y*h - 22 = -2*u - 2, 13 = u - h. What is the least common multiple of 465 and u?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) 4 (c) -3559\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4*i + i + 2 = 0, 4*i = 2*t + 2. Let d be (-3)\/2*(2 - 4). What is the second derivative of -3*g**t - g**5 + 8*g**5 + 8*g + 3*g**d wrt g?\nAnswer: 140*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50928 and 1552.\nAnswer: 4940016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 take away 1092.213?\nAnswer: -1078.213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 942689 + -943523.182. Let p = f - -835. What is p rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -1400.\nAnswer: -1\/700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5028269?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -287*t - 857. Let s be f(-3). Let r(o) = -o + 1. Let w be r(-4). Suppose -s*b - 4*h + 7*h + 94 = 0, -b - w*h = -35. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b + 11?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ocrd when four letters picked without replacement from rcmodjo?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -50461 in 4, 25, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5888985523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18035 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 858659168 and -0.1?\nAnswer: -85865916.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + 28 - 28)*(-3*w**2 + 2*w**2 - w**2)*(20*w - 3*w - 3*w)*(1 - 2 + 2) + 8*w**4 - 11*w**4 - 14*w**4 to a*w**3 + v*w**4 + b + c*w + j*w**2 and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 5:54 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/sqrt(96) + 3)**2.\nAnswer: 3*sqrt(11)\/2 + 155\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -5*p - 2*b, -7*b - 18 = 4*p - 5*b. Let o be 550\/30 + 2\/p. What is the second derivative of 2*r**4 + 24*r**4 + 18*r**4 - o*r - 10*r**4 wrt r?\nAnswer: 408*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 131.5536419 - 3507.5.\nAnswer: -3375.9463581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 3*b - 10 = 0, -5*v - 19*b = -17*b + 21 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -668905 + y**2 + 2*y + 668905. Let x(s) = 3*s**2 + 6*s - 1. Calculate 7*a(t) - 2*x(t).\nAnswer: t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**2 - 7*m - 141 wrt m.\nAnswer: 4*m - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(288) - sqrt(288)*-1) - sqrt(288) - (sqrt(288) - (3 + 1 + sqrt(288))))**2.\nAnswer: 168*sqrt(2) + 337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((13\/65)\/(-138*(-9)\/30))\/(1\/6)?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76.6 - 66. Let d = -2.5 + z. Let r = d - 7.6. Which is the closest to -2? (a) 3\/4 (b) 7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**5\/11 + 2*m**4\/11 - 18*m**3\/11 + 2*m**2 - 8*m\/11 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) + 5*sqrt(44)\/sqrt(2))\/(sqrt(132)\/(sqrt(12)*-2)) - (sqrt(968) + (sqrt(968) - sqrt(968)*1) + sqrt(968))\/(sqrt(144)*-1))**2.\nAnswer: 1250\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 4, -4, 1\/4.\nAnswer: -4, 1\/4, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 11*y**4\/4 + 7*y**3\/3 - 13*y**2\/2 + 736. Let h(i) = 4*i**3 + 2*i**2 - 4*i. Determine 2*d(n) - 7*h(n).\nAnswer: -6*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/23)\/i**(-3))\/(i**(-2\/3)\/i*i**1))**(-28) assuming i is positive.\nAnswer: i**(-7252\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 265 - -2677. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 86138343 to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(((-27)\/6)\/9). Suppose n*q - 2*m - 24 = 0, 3*q - 5*m = -4*m + 20. Solve -z + l = 3, -q = 5*z + l + 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 20\/(-8))*-12. Let i(a) be the first derivative of 4*a**3\/3 - 5*a**2\/2 + 4*a + 10. Calculate the remainder when i(c) is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 5*g + 35 = -0, -4*v - 4*g - 32 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 765 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 + 40 + 37 + 49*j.\nAnswer: 49*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5767567, 5767561, 5767555, 5767549?\n\"Answer: -6*m + 5767573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, t: 1, n: 4, r: 6, a: 3}. Give prob of picking 1 b and 1 t.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4*sqrt(108)*2 + (sqrt(108) - (-2*sqrt(108) - sqrt(108))*6) - (-4 + -3*sqrt(108))*3))**2.\nAnswer: 103680*sqrt(3) + 1560384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -34*((-4)\/8)\/1. Suppose 0 = 6*o - o. Suppose -b - 2*u - f = 0, -u + o*u = b + 21. What is b rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 13*c - 11. Let n be v(-14). Suppose -4*y + 38 = 3*l, 4*y - 10 = n*l + 16. Sort 3, -2, y in descending order.\nAnswer: y, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 5*q - 4*q - 89, 0 = q - 4*p - 85. Calculate the remainder when q is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-3)*(-72)\/8 + 303. Let v = q - 228. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - 1. Let k be (3 - c)*4\/6. Suppose -x + 2*x + k*h - 23 = 0, 5*x - 25 = -2*h. Solve -5*p + 4*z = x, 5*p + 5*z = 3*z - 21 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 5, -5, -19?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 255583993 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, m: 2, s: 1, r: 4}. Give prob of picking 2 m.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*u**5\/8 + 7*u**4 + 15*u**3 + 12*u**2 + 2*u.\nAnswer: u*(u + 2)**3*(9*u + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1308563.\nAnswer: 1308563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -462 + 892. Is l a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -l**5\/20 + 5*l**4\/12 - l**3\/6 + 2*l**2 + 29*l - 2. Let a(p) = p + 2. Let d be a(3). What is i(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.035 - -4.165. Let p = 4 - c. What is the biggest value in 1, 3, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.97954 rounded to zero decimal places?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.5 - 8. Let r = -1.7 + x. Which is smaller: 6 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1835200 - 2*j**2 + 1835200 + 5*j.\nAnswer: -2*j**2 + 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*p = -62*p. Solve p + 2\/13*n**2 + 4\/13*n = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 26*j**5\/5 - 10*j**2 + 25. What is the second derivative of p(t) wrt t?\nAnswer: 312*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 5)*(2*j - 2*j - j) - 15*j + 28*j - 35*j - 8*j - 4*j + 3*j.\nAnswer: -32*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 93232*n**3 - n**2 - 16*n**4 - 93232*n**3 + 5 in the form f*n + t*n**3 + o*n**2 + r*n**4 + z and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 50*q**2 + q + 2. Let j be a(2). Is (2 + -5 - -2) + j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2112\/(-3072))\/(11\/(-2))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 16 + 15*v + 261*v.\nAnswer: 276*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*u**4 - 43*u + u**3 - 10*u**4 + 2 + 4*u**2 + 45*u + 5*u**4 to d*u + a*u**2 + y + x*u**4 + g*u**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -846 + 846. Is w greater than or equal to -18\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24632013 - 13?\nAnswer: -24632026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3689.507 - 38.\nAnswer: -3727.507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155526?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 308b - 4?\nAnswer: 3087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 175 - (-18 + 107)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 85, 81, 95, 145, 249, 425?\n\"Answer: 3*c**3 - 9*c**2 + 2*c + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 108*g + 207. Let l(h) = 56*h + 104. Let z(c) = 6*i(c) - 13*l(c). What is the derivative of z(v) wrt v?\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 12 + -11 + (-7 - (10 + -89))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*m + 29*m + 14862. Suppose -29*r + m = -7023. Is 40 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 931*v + 5586. Let q be y(-6). Let d be -1 + 16\/14 - -1. Factor -d*r + 8\/7*r**4 + 24\/7*r**2 + q + 30\/7*r**3.\nAnswer: 2*r*(r + 2)**2*(4*r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3127 and 12.28?\nAnswer: -38399.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 179 = -752. Suppose 2*t + j - 73 = 4*j, 3*j - w = -4*t. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 112811 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(171)*-1)\/(-4*(sqrt(81) + sqrt(9)) - sqrt(9)).\nAnswer: -sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-42) + 34\/(-21). Let g = -0.2 - -0.6. Which is the nearest to -2\/5? (a) 0.2 (b) g (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 + -3 - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-2) - (66758\/12180 + -6). Let n(d) be the third derivative of 0*d + s*d**7 - 1\/6*d**6 + 0*d**3 + 50*d**2 + 0 - 2\/3*d**4 + 8\/15*d**5. Factor n(l).\nAnswer: 4*l*(l - 2)**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 485699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2116 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -229, 7, -3\/2, -0.1, 2, -1\/5, -5\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 not equal to 125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 460 + -455. Suppose -37 = v*j - 42. Solve 2 = 2*r + 4*n, 5*r + 3*n + 1 = -j for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 12*r**3 + 48*r - 852. Let n(t) = 37*t**3 + 142*t - 2554. Let x(c) = 10*i(c) - 3*n(c). Differentiate x(f) wrt f.\nAnswer: 27*f**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 569914?\nAnswer: 2, 284957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 0)*132\/(-165). What is the nearest to -1 in -3\/7, d, 0.48, -5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -668.62 - -669. Which is the second biggest value? (a) -4\/5 (b) -1\/3 (c) m (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1079*r + 5357 - 17826 - 23138 for r.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -41\/3. Let s = 412295\/285978 - 10\/4333. Let h = s + 2\/33. Which is the smallest value? (a) 0.06 (b) k (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.14 + 10.69. Which is the closest to -2? (a) 0 (b) 0.2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -8*f + 66. Let j(y) = -3*y + 65. Determine -4*a(q) + 5*j(q).\nAnswer: 17*q + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (3 - -4) - 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + f - 4 = 0. Let w be 6\/f*(4 - 5). Suppose 0*g + g = w. Solve 0 = 3*x + 3*j - 4*j + 8, -g*j + 15 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -77 - -74. Suppose -3*i - 1394 = -128. Is (i\/(-6))\/(v\/(-9)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 4*o - 35199996, 2*j + 3 = 5. Suppose -o = 16*s - 21*s. What is s rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/30)\/(25\/(-11000)*-44)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*3 + (sqrt(315)*-4)\/sqrt(7) + -5)*6*-4*5.\nAnswer: -1800*sqrt(5) + 600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2408*u**6 + 265*u**2 - 2*u?\nAnswer: -288960*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-6*sqrt(33)*-2)\/(sqrt(243)*1))**2.\nAnswer: -352\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -514350 (base 8) to base 12.\nAnswer: -82608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11112221011 (base 3) to base 14\nAnswer: 24933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-45) + (-1872024)\/(-495) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(((-665)\/(-45))\/19). Calculate the greatest common divisor of q and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 24 + 6. Let g be (k - -3)\/(-3) - 3. Let l be ((-15)\/10)\/(g\/4). Solve l*z = 4*z - 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 21)*(-4)\/(-8). Let w(z) = z**3 + 10*z**2 - z + 10. What is the smallest common multiple of w(b) and 1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92677?\nAnswer: 13, 7129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 1. Differentiate -4*q**2 + 0*q**2 + 4 + j*q**2 with respect to q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -0*z - 5*z. Let w(a) = -3*a - 12 + 4 + 1 + 3 + 2*a. Let d be w(z). Is -3 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*30\/50*(-200)\/(-48). Solve 0 = -3*k - 34*w + 30*w + r, 5*k - 25 = 2*w for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 81*p**5\/10 - 169*p**3\/6 + 89*p. Find the second derivative of u(a) wrt a.\nAnswer: 972*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1562*x + 1567*x - 22825. List the prime factors of x.\nAnswer: 5, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -4*c**4 + 21538820*c**3 - 64616424*c**2 = 0.\nAnswer: 0, 3, 5384702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 958904882 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13.38 and 4.\nAnswer: 53.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t - 15, 4*b + t = 3*t - 30 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 526.\nAnswer: -2\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 3.6 (c) 1\/2 (d) 0.6 (e) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s = -10*s - 80 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-2*sqrt(272)*-1 - (-1 + sqrt(272) + 1 + sqrt(272)))*3 + -1)*-2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/((1 - 12) + 5). What is the second smallest value in 172, -0.03, r?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 1107*d**2 + 33885*d + 255825.\nAnswer: -(d - 1137)*(d + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 256 and 11?\nAnswer: 2816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 5. Let r = -18 + 15. Let s be v(r). Let g = 51 - s. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25296 - -25306.397. Round s to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a hour in seconds?\nAnswer: 52200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*y - 5 = 3*r, -y + 7 = -4*r. Let q(j) be the second derivative of j**3\/6 + j**2 + 4*j. What is the units digit of q(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3\/8 + 424096047*c**2\/8 - 1873515204433359*c + 3747030302842707\/2.\nAnswer: -3*(c - 70682674)**2*(c - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29902 divided by 2.\nAnswer: -14951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 14, 4, 1.\nAnswer: -5, 1, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -424 + -65?\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2561, 2567, 2585, 2621, 2681, 2771, 2897, 3065?\n\"Answer: r**3 - r + 2561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -804968 = -60*r - 809468 for r.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 2*f + 21327, 32*f - 2 = 31*f. List the prime factors of j.\nAnswer: 21323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.8236822 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*sqrt(12) + 3 - (0 + (1 + sqrt(12))*2))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1))**(1\/3))**41 assuming t is positive.\nAnswer: t**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 10*z**2 + 8*z - 3. Determine u(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 5:37 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, b: 3, o: 1, q: 5}. What is prob of picking 1 o, 1 q, and 1 b?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68007 is divided by 33942?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 7*i + 193. Suppose r = -3*r. Is 12 a factor of i\/((r + -4)\/16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of j**4\/24 - 11*j**3\/6 + 9*j**2\/2 - 6. Let i(u) be the second derivative of r(u). Does 9 divide i(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 1:11 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 657041933?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6708, 8755, 10802, 12849, 14896?\n\"Answer: 2047*r + 4661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 955*s**2 + 0*s**3 - 497*s + 2*s**3 + 1270*s.\nAnswer: 2*s**3 + 955*s**2 + 773*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5348 and 2587816?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = 32*o - 174537. Suppose -54*k + 45*k = -o. What are the prime factors of k?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v**2 - 9*v + 10. Let g be u(5). Suppose -60*w = -g*w + 10. Let p(q) = -15*q. Let d be p(-2). Solve -w*f + 3*y = 3*f + d, -2*y = 2*f - 4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220 - 1?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3537102852 to two decimal places.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = 4*b + 756. Let c = b + 106. What are the prime factors of c?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40493.\nAnswer: 40493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7823784 and 0.05.\nAnswer: -391189.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*k + 61*k + 59*k - 1 + 68*k - 336*k**3.\nAnswer: -336*k**3 + 93*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/i**(8\/7)))\/((i\/(i*i\/((i*i**2*i*i*i)\/i)*i))\/i))\/(i*i**(-5)*i)**(-23\/2) assuming i is positive.\nAnswer: i**(-495\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9, m: 7}. What is prob of sequence mmm?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -5*r**3 - 1965*r**2 - 192075*r + 194045 = 0.\nAnswer: -197, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0223103534 to six dps.\nAnswer: -0.02231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 - -44. Find the second derivative of -17*n**v + n**3 - n**3 - 9*n + 51*n**4 wrt n.\nAnswer: 408*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-187)\/17 - (62 - (25 - 7)) - 8*-1.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**5\/60 - 19*t**3\/6 + 333*t**2. What is w(0)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*v + 5 + 93*v - 2 - 29*v + 184*v to x*v + f and give x.\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7 + 1. Let q be (-1 - 7 - -4) + 1. Which is the smallest value? (a) q (b) d (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -1. Let p(w) = w**2 - 8. Let c be 141\/(-45) + 5 + -4 + 44\/330. Calculate c*i(g) + p(g).\nAnswer: g**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 21740917.\nAnswer: 4\/21740917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-6)*2*248\/62?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 990\/13, -20, -9 in decreasing order.\nAnswer: 990\/13, 0.4, -9, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002069111 to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4*b**3 - 2*b**2 - b - 1. What is the remainder when x(-2) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 + 94. Let c = y - 29. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 2 - 3)*(-10 + 10 + 9*p) + 3 - 3 - 4*p)*(4*p - 2*p - 4*p).\nAnswer: -46*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**2\/3 + 266*y\/3 - 17689\/3 = 0.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24.2 - -23.2. Which is the second biggest value? (a) -7 (b) f (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 12:38 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k**2 + 0*k**2 + k**2. Let c(b) = -3 - 2*b + 4*b + 3. Determine c(t(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23.1 - 956.1. Let l = o - -592. Let i = 341.00151 + l. Round i to four decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 5. Is a <= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 5*j**2 + 7*j - 6. Let l = 33 + -23. Suppose 14 = 4*c - l. Determine r(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 8:22 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -251605793*w**4 - 145439554*w wrt w.\nAnswer: -3019269516*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -2. Let n be ((-2128)\/(-440))\/(-7) + (-4)\/10. Does n = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (0 - 2) - (23 - 27). Suppose 3*p - 3*q + 24 = u*p, 3*p - 21 = -3*q. Let k be 0 + 1\/(2\/4). Solve k = -p*z + z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(6\/63*(-1845)\/820) - -48\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2120101012002 (base 3) to base 10\nAnswer: 1365554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 306871 divided by 38.\nAnswer: 306871\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajjajjjjaa. What is prob of picking 1 j and 1 a?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 436171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/24 and -3\/140.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -264600063 (base 7) to base 12\nAnswer: -585a573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 0)*(-2586*m**4 + 1444*m**4 + 1359*m**4).\nAnswer: -217*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-583)\/(-42) - 18\/(-63) and ((-31)\/8)\/((-11)\/12).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*t**3 + 10*t**3 + 0*t**4 - 7*t + t**4 + 5*t to r*t**4 + f*t + n*t**3 + b + w*t**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36\/163 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 8*u = -17736. Let m = 193 + -191. Suppose m*c = -0*c + u. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1317775\/4 + -332919. Let i = a + 3499. Find the common denominator of 4\/26 - 24191\/(-2210) and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3 + sqrt(56)\/sqrt(2)))**2.\nAnswer: 432*sqrt(7) + 1332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 22*r - 502. Calculate g(28).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/17*13\/13?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 412 (base 7) to base 12\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1442, 1792, 2328, 3050, 3958, 5052?\nAnswer: 6332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**4 - 30*g**3 + 80*g**2 + 750*g + 1125 = 0. What is g?\nAnswer: -5, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-2))\/((-25)\/50)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/20 and -101\/1280?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 - (-38 - (21 - -48))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -206\/7 or 6\/19?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -12*z**2. Let x = 34208 + -22698. Let y(v) = -x + v + 11510. What is b(y(c))?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33750 and 46331250.\nAnswer: 3750","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b - 2 + b**2 + 4*b - b)*(-2*b + b + 0*b)*(-2*b + 0*b + 32*b) to the form o*b**4 + d*b**2 + l*b**3 + y + n*b and give l.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3670 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/225 and 6\/45 + 1\/(2520\/2149)?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 46*g. Let b(l) = -3*l**2 + 28*l. Determine b(a(n)).\nAnswer: -6348*n**2 + 1288*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1110101110001110000011 (base 2) to base 9\nAnswer: 7232005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 2*i - 14 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21 - 53 - 190*h - 35 + 5 - 28 with respect to h.\nAnswer: -190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3940217 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2701 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -z + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.7 - 1.3. Put 0.01, a, 0.4, -0.2 in increasing order.\nAnswer: a, -0.2, 0.01, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - (sqrt(187) - (-1*sqrt(187)*5 - sqrt(187)))) + sqrt(187) - sqrt(187))\/(3*(sqrt(891) + sqrt(11)) + sqrt(11)).\nAnswer: -6*sqrt(17)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/21*-4)\/(10\/(-35)))\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -87253066 less than 74534?\nAnswer: 87327600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*z**3 + 540337917*z**2 + 89247118*z wrt z.\nAnswer: -12*z + 1080675834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v**2 + 2*v + 11. Is g(-5) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*p + 231*p = 6150. Solve 0 = p*m - 9*m + 128 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5 = -2*d + 2, d - 3*f = 0. Let a(v) = -5*v - 25. Does 20 divide a(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 1\/2*b**3 + 0*b - 1\/12*b**4 + 0 + 2*b**2. What is j(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or 48.9841?\nAnswer: 48.9841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4 + 321*n**3 + 25920*n**2 + 25600*n.\nAnswer: n*(n + 1)*(n + 160)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 194, 308, 436, 584, 758, 964?\nAnswer: 1208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*g = 7*o + 36, -o - 2378 = -183*g. Let y(z) = -z**3 + 6*z**2 - 2*z - 4. Let c be y(5). Solve 6*n - c = o for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 2. Let j(a) = -a**3 + 6*a**2 - 6*a + 7. Let k be j(5). Suppose -5*l + k*l = -h - 3, -c = -l. Solve -3*i + 2*i - 5 = h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6473305117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 99174227 and 21?\nAnswer: 99174206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 13) in base 14?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28 + -130?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aws when three letters picked without replacement from {a: 1, s: 1, w: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5492782?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.749371kg to micrograms.\nAnswer: 5749371000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*o = -512 - 628 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1151020, 1151013, 1151006, 1150999, 1150992?\nAnswer: 1150985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -179738 and 0.4?\nAnswer: -71895.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1470 - -3249. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 2.2643?\nAnswer: -0.67929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12658599 is divided by 758.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 5 - 9 - 2)*(-2*l + 3*l - 3*l).\nAnswer: 4*l**2 + 12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*o + 177*o - 57*o - 60*o - 3411*o**3 - 1.\nAnswer: -3411*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from feqeessesjees. What is prob of picking 1 j, 1 q, and 2 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3536297 + -2335278. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 117 (b) 5 (c) 135\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(2401))\/((sqrt(70)\/sqrt(2))\/sqrt(5)))**2 + (-2*(sqrt(84) - -2*sqrt(84)))\/sqrt(12)*-4.\nAnswer: 24*sqrt(7) + 343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 4, 4*l - 555 = -2*v + 99. Let y = v + -317. Solve -5 + y = -m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14\/9 + -88\/45. Which is the fourth biggest value? (a) -4 (b) 2 (c) l (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3556*d - 3559*d. Let p = -2 - 1. What is the closest to d in p, -3\/2, -4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87 - -62. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n*n**(-1\/4))*n)**(1\/12) assuming n is positive.\nAnswer: n**(3\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**2 - 5*v**2 - v**2)*(-1 + 0 + 2)*(-2*v + 0 + 0)*(28 + 3 + 21)*(0*v + 0*v - 2*v).\nAnswer: -416*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxtytxxtyyy. What is prob of picking 1 x and 3 t?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 55\/3. Let a(b) be the third derivative of -1\/120*b**6 + 1\/24*b**4 + 1\/60*b**5 - 2*b**2 + 0 + g*b**3 + 0*b. What is a(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 0*o - 2846. Let d = -31293\/22 + o. Find the common denominator of d and 103\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3\/9 + 710*n**2\/3 + 10552*n\/9 - 16960\/3 = 0. Calculate n.\nAnswer: -1060, -8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.07 - 0.07. Sort -1, -0.2, x in decreasing order.\nAnswer: x, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*m**3 - 381*m**2 - 954?\nAnswer: -18*m**2 - 762*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * -0.054139\nAnswer: -0.00108278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 268203*h**2\/2 + 80730*h + 12150.\nAnswer: 3*(299*h + 90)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296 = -34*j - 214 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24196 and 133341.\nAnswer: 12267372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1914 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -1 + 8*u + 2 - 6 - 3*u**2 + 3. Differentiate h(i) wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1599 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 111011110?\nAnswer: -111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, k: 1}. Give prob of picking 3 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 0 + 9)*1044\/(-14094)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from haaasmshmssssssmmsm. What is prob of sequence shs?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 0 + 0)*(-2*r - r + 4*r) + 5*r + 0*r - 3*r)*(178*r**3 + 56*r**3 - 23*r**3) as l*r**2 + x*r**4 + a + f*r + m*r**3 and give x.\nAnswer: 844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44734820 and 149721?\nAnswer: 4537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0653 - 0.06445. What is c rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5648.026 - -5648. Let b = -4 + 2. What is the second biggest value in d, b, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 4 + 4)*(a**2 + 3*a - 3*a) - 2*a**3 + 3*a**3 + 0*a**3 - 6*a**2 + 6*a**2 - 10*a**3.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**3 + 167*y**2 + 249*y + 489. Give h(85).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -124*3*(-52)\/24?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*z + 40 = -143 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170441 - 163493 = -193*f for f.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 7*j - 36. Let l(m) = 14 + 15*m - 54 - 31. Let a(n) = 5*h(n) - 2*l(n). Let t be a(9). Which is bigger: 5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125908433.\nAnswer: 7, 17986919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 12*g - 31. Let y = -8 + 35. Let i(r) = r**2 - 28*r + 14. Let l be i(y). Let n be d(l). Is n less than -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/230 and 87\/138920?\nAnswer: 138920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*sqrt(192).\nAnswer: 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 22, 37, 58, 85, 118?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(105) + 1*sqrt(105))\/sqrt(7))\/sqrt(5)*2 - -3*(-2*sqrt(363) + sqrt(363) - sqrt(363))*-2)**2.\nAnswer: 55488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*h = 144*h - 50*h - 55720. What is the remainder when h is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23627 to the power of 1\/2, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3697 and 31132437?\nAnswer: 3697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 4089\/1654 and -0.5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 times -16.86287?\nAnswer: -2.1921731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 50, 47, 44, 41, 38, 35?\n\"Answer: -3*g + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 621949568 a multiple of 2120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.466414978 to four decimal places.\nAnswer: -0.4664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -4, 0.3, -2, 0.02?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/15*-12)\/(((-242)\/(-385))\/(-11))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84997.\nAnswer: 11, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3689 + 347 = -4*w, l = 3*w + 1681. Let q = 3451\/2 - l. Let y = -154\/9 - 97\/18. Calculate the common denominator of q and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - -16 - -9 - -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = g - 7, -21*y = -5*g - 24*y + 61. Solve -4*u = n + g, -3*u - n - 5 - 3 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 38, 5, -52, -139, -262, -427, -640?\nAnswer: -907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.045, 6, 3, 2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 247 and 73359?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 a when two letters picked without replacement from {e: 12, a: 2, t: 5}?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 4, -872*i = 3*q - 875*i - 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1224651.8 plus 2?\nAnswer: 1224653.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 2)\/(-2) + 1*4. Suppose 23 = b*p - 136. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 17*a - 82. Let z be x(6). Let k be z\/((-9)\/(54\/(-12))). Solve 3*v + 14 = k*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 33 + -42 + -7\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 392, 691, 976, 1241, 1480, 1687?\nAnswer: 1856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2382873, -2383212, -2383777, -2384568?\nAnswer: -2385585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d**3 + 4*d**2 - 4. Let c = -6 + -3. Let r(m) = -7*m**3 + 9*m**2 - 9. Determine c*i(b) + 4*r(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of w**6\/6 + w**4\/6 - 47*w**3\/2 - 38*w**2 - 1. Find the first derivative of l(c) wrt c.\nAnswer: 60*c**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99 and 34869.\nAnswer: 1150677","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4677 - -4656. Sort -69, s, -2 in ascending order.\nAnswer: -69, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43359 divided by -1\nAnswer: -43359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*p = 192, 25 = m + 2*p - 14. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 233585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 28*g**2 + 3950*g - 20586. Determine s(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/((-2)\/2 - -2). Let d be (8\/(-10))\/((-6)\/m). Suppose d*z - 14 = 2. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yjpyjkjpyp. Give prob of picking 2 p, 1 k, and 1 y.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 268205 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 10}. Give prob of picking 2 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-23 - (-380)\/20)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 129\/430*(-23)\/276\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2276*t**3 - 2*t - 72 wrt t.\nAnswer: 13656*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/10 (b) -2\/149 (c) 0.09 (d) 86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10063*b**2*o**2 - 8*b*o**2 + 12*b - 39*o**2 + 19869*o + 1 wrt b.\nAnswer: 20126*b*o**2 - 8*o**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-5)\/216*4\/(-10)*21\/(-14).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1116 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/s**(-3\/7)))**(-15)\/(s**(-7)\/((s\/(((s\/s**(-3\/11))\/s)\/s))\/s)) assuming s is positive.\nAnswer: s**(2245\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.11237 and 0.4?\nAnswer: 0.51237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 812409 is divided by 274?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of x**3\/3 + 3*x**2 + 5*x - 43. Factor l(m).\nAnswer: (m + 1)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/847 and -59\/1078.\nAnswer: 11858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/16 + 5253\/24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**6\/120 - w**5\/20 - w**4\/8 + 2*w**2. Let o(u) = 4*u**2 + 8*u - u + 3*u**2 - 2*u**3. Give 7*n(g) + 3*o(g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y = -27*y - 2*x - 20, 3*y = x - 14. Let z(g) = -67*g**3 - 3*g**2 - 16*g + 19. Is z(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2 - 8*j + 33. Let o(u) = -5*u**2 - 24*u + 100. Let k(f) = -8*g(f) + 3*o(f). Calculate the remainder when k(11) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p**2 + 4*p + 158. Calculate u(9).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.62076 to two decimal places.\nAnswer: -3.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.365 - 12.965. Let r = o - -13.6. Let q = -169 + 1517\/9. Which is bigger: q or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*n + 3*z - 140 = 0, 4*n - 4*z - 140 = 0. Is (-2)\/(-5) + 476\/n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 2 + 31 = 0. Let a be (((-3)\/(-6))\/(s\/(-84)))\/(-1). What is the greatest common divisor of 8 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p**3 + p**2 - p - 1. Calculate c(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h. Let s(p) = -24*p - 1. Determine -s(z) + 3*t(z).\nAnswer: 27*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 10. Suppose 4*z + 0*z - 4*a - 20 = 0, -j*z + 2*a + 19 = 0. Solve 3*h - 4*v = -0*h + 15, 0 = z*h + v - 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(6\/(-2)) - -2. Let z(h) be the first derivative of 4*h**y - 12*h + 2*h**2 - 2*h**3 + 3 + h**3. Let z(m) = 0. What is m?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -21*m**3 - 93*m**2 + 14*m + 140. Does 205 divide i(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*s = -4*j + 6, -s = 0. Suppose j*g - 2*g - 108 = 2*m, -8 = 4*m. Suppose g = 2*n + 2*f, -5*n + 5*f + 13 + 12 = 0. Solve -5*r - n = -2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 16*n + 16. Let z be v(15). Which is smaller: z or -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5096 is divided by 1035?\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*b - 60 = 0. Let v = b + -43. Is -28 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 - (3\/3 - 2). Is (-4)\/x - (-178)\/6 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1.3, -4, -4\/29?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9508672 - 1.\nAnswer: -9508673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 - 7*v**2 - 2*v**2)*(v**2 - 3*v + 3*v + 3*v**2 + v**2 - 3*v**2 + (2*v + 0*v + 0*v)*(-2 + 2 + v)).\nAnswer: -40*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 5*m - 5*o - 49, -2*o + 134 = 2*m. Suppose 2*q - 32 = -2*v + 4*q, 4 = v + 3*q. What is the remainder when m is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**3 + 3*u - 2 + 0*u**3 + 4*u - 5*u to a*u**2 + s*u**3 + v*u + j and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 2:41 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 15*z - 2. Let x(b) = -729*b**2 + 30*b - 3. What is 8*s(v) - 4*x(v)?\nAnswer: 2924*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2014 - -2015.6272. Let m = 0.1411 + t. Let i = m + -1.76. What is i rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 3 - 2. Calculate the least common multiple of r and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.13, 0.2, -13, 21, -0.1?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 424 is divided by 48?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 963 - 961. Which is the closest to 2? (a) 1\/7 (b) 6 (c) -1\/3 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*p + q - 53 = -18*p + 26*p - 42*p, 2*p + 26 = -q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 4*a**2 + 7*a + 4. Let y be m(-2). Let q be 5*(24\/10 + y + 0). Calculate the greatest common factor of q and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2652\/(-340) + (-1476)\/(-20).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 28 = -8. Suppose 53*v = -80 - 26. Let o be (-1)\/(-2) + (6\/(-8))\/1. What is the nearest to v in n, -0.5, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-100)\/(-15))\/(3050\/16470)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3\/4 - 574359*t**2\/2 - 2297427*t\/4 - 287178.\nAnswer: -3*(t + 1)**2*(t + 382904)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-1 - 3) + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 6835.\nAnswer: 75185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -4*h**3\/3 + h**2\/2 - 2. Let o be d(2). What is the units digit of 2*(o\/(-4) - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -7 - ((-7 - -3) + -8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8\/25 of a kilometer?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -232*p + 233*p. Sort -9, -6, -4, p in decreasing order.\nAnswer: p, -4, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 616 is divided by 86?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-74)\/264)\/(47\/(5 - 757)) + (-6)\/(-33).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -331.43 - -329. What is g rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*sqrt(63)\/(sqrt(3)*1))\/((sqrt(196) - (sqrt(196)*-1 + sqrt(196) - sqrt(196)))\/sqrt(7)).\nAnswer: -4 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 43?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 450087106?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14650 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5007*i + 1046466. Give r(-209).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 1681*h**2 + 103*h - 608. What are the prime factors of n(6)?\nAnswer: 2, 53, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + (sqrt(3) - sqrt(21)\/sqrt(7))*-6)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16910 and 190.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10639, 10738, 10833, 10924, 11011?\nAnswer: 11094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -h**8\/112 - 5*h**4\/12 - 5*h**2. Find the second derivative of s(j) wrt j.\nAnswer: -60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2. Let c(q) = -4*q**2 - 1130. Give c(j(y)).\nAnswer: -16*y**4 - 1130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2997 = -v + 6*v, 2*v + 2*p + 1194 = 0. Round v to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 7:59 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2112357539 to the nearest integer?\nAnswer: 1283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 1679*p + 243049. Give h(-160).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkgkkkkkkkkkkkk. Give prob of picking 1 g and 1 k.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -83, -427, -1151, -2381, -4243, -6863?\nAnswer: -10367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -873, -0.3 in ascending order.\nAnswer: -873, -0.3, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -497a - 5?\nAnswer: -4982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 65468.61 nanograms in tonnes?\nAnswer: 0.00000000006546861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5*a**2 + a + 3. Let g(z) be the first derivative of -6*z - 1\/2*z**2 - 2 + 3*z**3. What is 3*g(o) + 5*h(o)?\nAnswer: 2*o**2 + 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 343 + -14?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*v**2*x**3 - 95*v**2*x**2 + 2*v*x**3 + v*x - 349*x**3 wrt v.\nAnswer: 10*x**3 - 190*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -l**3\/6 + 5*l**2\/2 - l. Suppose -4*z = 3*m - 9, 0*z - z + 15 = 5*m. Give d(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -851433 divided by -283811.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 n when three letters picked without replacement from pqqnppccpqc?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(342)*6)\/(sqrt(2) - (sqrt(72)\/sqrt(4) - sqrt(18))).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**3 - 295*j**2 - 2030*j + 75480 = 0 for j.\nAnswer: -37, -34, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000027 rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 488027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61 + 121. Suppose 8*y - 3*y + 123 = -2*p, -p - f = 4*y. Let r = p - -149. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70134204*-0.3\nAnswer: -21040261.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2 - 21*r + 3. Let v(p) = -10*p**2 + 104*p - 16. Calculate 16*u(w) + 3*v(w).\nAnswer: 2*w**2 - 24*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*c + 6*c**3 + 42*c + (c**2 - c**2 - 2*c**2)*(-c + 0*c + 2*c) to n*c**3 + a*c + x*c**2 + o and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 515880 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4026 is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2\/3, -9, -125\/3, -0.2, -3\/10, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24764753*m**4 - 70710122*m?\nAnswer: -297177036*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 5*t + 9, 4*t - 2 = -2*r - 0. Let z(h) = -39*h. Let x(n) = n + 14. What is the remainder when z(r) is divided by x(7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 0*m**5 + 5 + 3*m**2 + 0*m - 4\/3*m**6 + 0*m**3 + 0*m**4. What is the second derivative of k(o) wrt o?\nAnswer: -160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260846.\nAnswer: 2, 130423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -6*b + 2*b + 2*w, 5*w = -5*b + 220. Let p(j) = 8*j**2 - 53*j - 28. Let q be p(8). What is the highest common divisor of q and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2104136 rounded to the nearest one thousand?\nAnswer: 2104000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/44 and 131\/462.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-63)\/14*(-8)\/6. Suppose 4*r = 5*r - y. Is 2 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/8 and -3 + (-15)\/(-7) + 1.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34995683 + -1?\nAnswer: -34995684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {k: 3, q: 2, b: 4}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 183*p + 2*p**3 - 3*p**2 + 4*p**2 - 2*p**2 - 4*p**3 to v + m*p**2 + o*p + d*p**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17546 and 10633?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, v: 2}. Give prob of sequence vzv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, g: 3}. What is prob of sequence gmm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -11*g. Calculate z(4).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 18*v + 1424 = 0. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.964 - -0.104. Let w = -0.36 - h. Let y = 0.9 + -4.9. Which is the second biggest value? (a) w (b) 2\/11 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 39. Let q = -169\/6 - d. Put q, 0, 3\/4, 4 in ascending order.\nAnswer: q, 0, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) -14\/69 (c) 249\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.395 - 0.575. Let j = f + 0.18. Let z = -145\/4 + 36. Sort -4, z, j.\nAnswer: -4, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (6\/(-21))\/((-8)\/174) and 1 - -18 - 273928\/14938?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 502291 * 7\nAnswer: 3516037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 696 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3449851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 345624.\nAnswer: 2, 3, 14401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1573\/(-121)*310\/(-65).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 8:50 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 13237210?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - -14.1. Let z = d - 13.6. Sort z, 4, -4.\nAnswer: -4, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20345 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.283414 minutes to hours.\nAnswer: 0.2380569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76687, 153403, 230119, 306835, 383551, 460267?\nAnswer: 536983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3422.21 - -3416. Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1942182.6 months?\nAnswer: 161848.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-2*sqrt(121))\/sqrt(11))**2*2.\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3693460645 to 5 decimal places.\nAnswer: 0.36935","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 434090 and 33472.\nAnswer: 13890880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/3995 and -85\/658.\nAnswer: 55930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100228 is divided by 19585.\nAnswer: 2303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75653\/231 - -3624\/11. What is the common denominator of u and 103\/72?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 - (19 + 9 + -12 - -8).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/3)*y)\/y**(2\/29)*((y*y\/(y*y\/y**(1\/2))*y)\/y)**39 assuming y is positive.\nAnswer: y**(3439\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 252\/42 - 1*1*-1. Let t(w) = i*w - 6 + 5*w + 2*w**2 - 9*w - 3*w**2. Calculate t(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 138 and 8?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22488*a**2*d**2 - 3737*a**2 + 3*a*d**2 + 7*a*d + d - 4 wrt d?\nAnswer: 44976*a**2 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 26 + 6\/2 + -5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 11*d**3 - d**2 + 8*d - 1. Let n(o) = -5*o**3 + o**2 - 4*o + 1. Let u(l) = 9*n(l) + 4*w(l). Suppose -20 = -2*z - 2*z. What is u(z)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(605)*-1*-4 - sqrt(605))*5)**2.\nAnswer: 2178000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 452*b + 1039*b - 13419 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**4 + 10*b**3 - 95*b**2 + 140*b - 60.\nAnswer: 5*(b - 2)*(b - 1)**2*(b + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**4 + 6*m**3 - 68*m**2 + 96*m = 0?\nAnswer: -8, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 3. Let v = 0.26 + -0.46. Sort 5, q, v.\nAnswer: q, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 16, -10454 = 46*v - 41*v + j. Is v at least as big as -2090?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1544, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, 4, 0.04, 2\/3 in decreasing order.\nAnswer: 4, 2\/3, 1\/9, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 13, 3 in increasing order.\nAnswer: -1, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 4 + 0 = 2*g, 4*c + 8 = 2*g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 297\/(-54)*(-77)\/14*(-9)\/(693\/56)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 14 - 8. What is the remainder when -1 + -4 + 58 + (-6)\/(-2) is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 1\/2*q**2 + q + 0 - 1\/6*q**3. Calculate f(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13203835233 - 777?\nAnswer: -13203836010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 1)*(4*g + 0*g - 2*g) - 2*g - g - g + 2 - 2 - g - 4*g - 3*g - g)*(1 + 8 + 0).\nAnswer: -99*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168, -353, -552, -771, -1016?\nAnswer: -1293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03636984996 rounded to four dps?\nAnswer: -0.0364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/20 and 23\/2560000.\nAnswer: 2560000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14660)\/(-35)*(-343)\/(-98). Solve t = l + 1469 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0005174 and -9.\nAnswer: -0.0046566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 6*d = 4. Solve 3*c + d = c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 9:06 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (163 - 164) + 3\/5. Which is the closest to 1\/3? (a) -1 (b) -3 (c) 2 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -2 - (-5 + 0 + 5 + -6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 4727?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 5. What is the second derivative of -3*b**w - 4*b - 3*b**3 - 2*b**3 + 0*b wrt b?\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9\/10 of a day?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -3*d + 15. Suppose 0 = -2*u + z + d, 5*u + 0*z - z = 17. Let y be (72\/96)\/(264\/64). What is the third smallest value in -4\/9, y, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2893 + -472. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 26 - 88. Let p = k - -69. Sort -5, -2, 2, p in descending order.\nAnswer: p, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -1091.8?\nAnswer: -218.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3993) + sqrt(3993)*1)\/(sqrt(704)*-2).\nAnswer: -11*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -7*w**4\/12 + 5*w**3\/6 + 2*w**2 + 8*w. Let h be s(-1). Let d(c) = -29*c - 15. Is d(h) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 368 and 541972.\nAnswer: 2167888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.0634, -0.2, -10, -2?\nAnswer: 0.0634","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*z = 46*z + 44*z + 19*z + 2214 for z.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*c - 3145 = -2*q + 94*c, c = -3*q + 4701. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*664.1\nAnswer: 53.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082 a factor of 389260320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 551 = -5*w + 145, -5*w - 2*t = 396. Let z = 33 + w. Let l = z + 85. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 11) in base 8?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 1\/7, 1\/2, 3, -35.985?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28*(720\/126)\/(-10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 18\/6735121 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1651318 is divided by 206090?\nAnswer: 2598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1211441, -1211440, -1211439, -1211438?\nAnswer: -1211437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.1 and -0.0178361.\nAnswer: 0.10880021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/90*6*-3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -4*g**3\/15 + 12*g**2 + 1036*g\/5 + 9760. What is m in h(m) = 0?\nAnswer: -7, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.1 (c) 188 (d) 5\/16 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -8. Which is smaller: j or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -k - 41. Let g = -44 - k. Suppose 2*h - 633 = -g*j + 1320, 2*h - 6 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 660711218?\nAnswer: 2, 330355609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 4911\nAnswer: -4\/4911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 86768131 divided by 1?\nAnswer: 86768131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -k - k. Suppose 0 = 4*h + 5*d + k, 3*d + 5 = -h + 2*d. Let w be (h + 8)*(-2)\/2. Which is greater: -2\/21 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/720*-6)\/((-92)\/115)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6695b3 (base 13) to base 3.\nAnswer: 11112221110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 10:17 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17534390*c**2*f**2 - 40*f**2 + 7*f - 34 wrt c.\nAnswer: 35068780*c*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7378 and 2325?\nAnswer: 553350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -90 - -150. Let d(v) = v**3 + 7*v**2 - 4*v + 6. Let s be d(-8). Let q be 1 + -2 - (1 + s). What is the greatest common divisor of q and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (5 + 2 + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -6*z + 48958 + 90589, 2*x + 46532 = 2*z. What are the prime factors of z?\nAnswer: 3, 7753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*q + m, 10 = -3*q - 0*m - 4*m. Suppose -7*s + 5*s - q = 0. Let t(u) = u - 1. Let c(g) = g**2 - 7*g + 6. Determine s*c(v) - 6*t(v).\nAnswer: -v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) -1\/5 (c) 2 (d) 3\/5 (e) -68 (f) -2\/27 (g) 2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 12, -8 = 4*w - 5*g + 8*g for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24386.51 and -1.2?\nAnswer: -29263.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -4852, -6.\nAnswer: -4852, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 8 = 2*s + s, 4*t - 22 = 2*s. Suppose t*x - 12 = 2*x. Solve g - 3*j + 5 = -j, -x*g + j = -15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 70\/(-5)*(-5)\/10. Solve -1 = -3*w - j for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 9*c**3 - 40*c**2 - 1\/2*c**4 + 81\/2 - 9*c = 0.\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8.35, -684, -0.1, -0.8, -1\/9?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*x + 8042, -3*q + 7*q = -4*x + 6428. Suppose -q - 1163 = -r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258940.\nAnswer: 2, 5, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -6. Suppose 4*z - 9 - 3 = j. Solve -2*m = -m - z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9147992?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 46*z + 706. What is k(-16)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38786214?\nAnswer: 2, 3, 17, 73, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3459, -3458, -3457?\n\"Answer: l - 3460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a9 - -393833?\nAnswer: 393746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -2*sqrt(605) - sqrt(605)) + sqrt(605))**2 + sqrt(605).\nAnswer: -121*sqrt(5) + 2429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**4\/12 - 24*q**2. Let z(d) = 7*d - 9. Calculate y(z(s)).\nAnswer: 14*s - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of y**3\/3 + 5*y**2 + 23*y + 10. Let r be n(-7). Solve -5*w - 20 = -l, -6*l = 5*w - r*l - 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 7*l**2 - 7*l - 1. Let d be o(-6). Let h(b) = -2*b + 3*b - 3 - 5*b + d*b. What is the units digit of h(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**4 + 199731*l**3\/2 - 249668*l**2 + 399471*l\/2 - 49934 = 0. What is l?\nAnswer: -99868, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 245.1 + -264. Let q = -19 - u. Which is the third biggest value? (a) q (b) 0.03 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/28*4312\/(-98)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 7*d**2 - 7*d - 1. What is the smallest common multiple of 1\/(-3)*-3*7 and s(-6)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -86 - -86. Suppose -a - 5 = -q*a, -a = -4*p - 247. Let w = 73 + p. Is 4 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -232\/317 - 182870\/2219. Let f = 83 + l. What is the closest to 7 in -2, -1\/4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5b - 7?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7ca93 (base 13) in base 11?\nAnswer: -146415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3823446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2315365009?\nAnswer: 2315365009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1806 = -34*s + 27*s. Suppose 890 = s*h - 257*h. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 227 and 1849823?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 506 = 4*b + 14. Suppose 5*z + n = z + b, z = n + 27. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2641566 - 0.04322?\nAnswer: 0.2209366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 - (-15 - -5) - 25465. What is the remainder when -2*1\/(-11) - g\/209 is divided by 37?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39\/8*j + 5 - 1\/8*j**2.\nAnswer: -(j - 40)*(j + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -0*c + c + 5, 3*v - 2*c = 4. Solve 0 = v*z - 4*q + 14, -z = -5*q + q + 15 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ed2b322 - 3?\nAnswer: -ed2b325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -22 - 23. Let c(f) = -3*f - 42. Let u be c(t). Solve -u*q = 6, -2*y - q = 3 + 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (sqrt(76) + (sqrt(76) - (sqrt(76) - 2*sqrt(76)))))*-3*3*-3)\/(sqrt(64)*2*-2 - (sqrt(64) - sqrt(64)*1)*-4).\nAnswer: 27*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2. Let c(g) = 7*g - 7. Let r = 30 - 16. Let u(l) = 1. Let f(k) = r*u(k) + 2*c(k). Calculate t(f(j)).\nAnswer: 392*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50302958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.09 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -422800000 rounded to the nearest one million?\nAnswer: -423000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 10*s**2 - 7*s. Determine d(9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1625723?\nAnswer: 11, 147793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 122803\/14 + -8778. Calculate the common denominator of -61\/102 and c.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + 14 + -38 - (28 - 119)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6, -14, -34, -72, -134?\n\"Answer: -r**3 - r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 409455 divided by -1.\nAnswer: -409455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 8:25 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.04 - -5.04. Suppose 4 = 5*u - 6. Suppose 5*m = -u - 8. What is the third smallest value in g, 1, m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -388*x + 209*x + 251*x - 68*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (21 + (23 - 53))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/13*r**2 + 6\/13*r + 4\/13 = 0. What is r?\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/4 + 1\/2. Let h be 6\/2*b\/(-3). Let q(j) = 0*j**2 - 7*j**2 + 2*j - 1 - 3*j. Give q(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -1\/4, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**3 - 27*a**2\/2 - 789*a + 1. Let t(k) = -3*k - 14. Give 11*t(i) - 6*v(i).\nAnswer: 3*i + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 7*w**2 - 8*w - 7. Calculate b(-6).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**3 - 85*b**2 + 235*b + 325 = 0. What is b?\nAnswer: -1, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 403925?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/4 + 1*230 + 0.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -33.164.\nAnswer: 132.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 9:07 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 245*f**3\/3 - 123*f**2 + 2*f + 665. What is the first derivative of d(y) wrt y?\nAnswer: 490","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -578*y - 345*y = -40*y + 17660 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/10 and -27\/2800.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 - ((17 - 17) + 10 - (12 + -9))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 152*m - 91*m - 55*m - 608 + 105 to w + t*m and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2 + 5 - 4 + 2*u. Let m(s) = s. Let h = 65 - 67. What is h*o(y) + 6*m(y)?\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**24)\/(s\/(s*s**19\/s*s*s))*((s\/s**(-1))\/s)\/(s**(2\/9)*s) assuming s is positive.\nAnswer: s**(403\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/12 - 54\/40. Let p = 6.8 + -0.8. Which is the second smallest value? (a) 5 (b) z (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 2*x**7\/21 - 6*x**6\/5 + 6*x**5 - 46*x**4\/3 + 22*x**3 - 18*x**2 + 23*x. Suppose o(l) = 0. Calculate l.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 7 - (-4 - (25 + -18)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j - 34*j = -172 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -60, -44, -18, 18, 64, 120, 186?\n\"Answer: 5*t**2 + t - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 14 = 4*s. What is the remainder when 39 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23b4 (base 12) to base 5\nAnswer: -112044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/12? (a) -3\/5 (b) -1 (c) 15\/7 (d) -0.5 (e) -23.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2836?\nAnswer: 2, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-3)\/(-2) + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(1\/3)*c*c)\/c**(-3\/13))\/(c**(1\/34)*c**(3\/11)*c*c) assuming c is positive.\nAnswer: c**(18407\/14586)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3070 - -19?\nAnswer: -3051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 175. Find the common denominator of o\/40 - 2\/(-1) and -5\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*v**6 - 2369*v**5 - 391*v**3 - 18035*v**2 + 29*v wrt v?\nAnswer: 360*v**3 - 142140*v**2 - 2346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (8 - (-1 + (11 - 8) - -6)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22\/308 + 167145\/210. What is the highest common divisor of a and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 189 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, h: 4, b: 4, f: 2, s: 2}. What is prob of picking 1 b and 1 f?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 1649*i - 2942*i + 1747*i. Let c(r) = -3*r**2. Calculate f(c(y)).\nAnswer: -1362*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -3*k - c + 26, -k + c = -2. Let l be (k\/(-2))\/(4\/(-72)). Suppose -1544*w + 1569*w = 175. What is the greatest common divisor of l and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -2.6. Let q = -804\/5 + 2422\/15. Let b = 154\/3 - 52. What is the closest to q in 0.1, b, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - 6\/(-9)*6. Suppose -r = -k*r. Let w(a) = -a**3 + a**2 - a + 5. Calculate w(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 - -1 - (-5 - 29) - -35.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27782029?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 840675 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/6 and 23\/35960874.\nAnswer: 35960874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-45)*(-1496)\/(-544).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*v - 0, 2*v = 2*g - 4. Suppose g = -2*w - 1764578 + 544578. Round w to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 376847357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4308601\/7 or 615515?\nAnswer: 4308601\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 80*v**2 + 85*v - 255. Calculate p(-81).\nAnswer: -579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from oofopfofuynyofouo.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**5\/60 - 5*i**4\/24 - i**3 + 34*i**2. Factor l(k).\nAnswer: (k - 6)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -587 + 582 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 5\/4, 3\/5, 28?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16\/3)\/4)\/(1432\/(-44034)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 268100 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6044943 is divided by 671656?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2 - 2*h**2 + 4*h**2 + 2*h - h**2 + 3*h. Let f be t(-3). Let c be -2*1\/f*-6. Is c at least -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 392\/(-72) - (-8)\/18. Let s(r) = 4*r + 10. Determine s(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 61 - 870*p**2 + 802*p**2 - 61 - 2361*p**2 as w*p**2 + b + u*p and give w.\nAnswer: -2429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 223697413 + 0?\nAnswer: 223697413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 3*q - 3, -2*b - 200*q - 201*q = -400*q - 17 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(1\/(-17) - 0). Calculate the common denominator of -26\/7 and 4\/12*z\/(-8).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8957 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**5 - 9*l**4\/2 + l**3 + 9*l**2\/2 + l = 0 for l.\nAnswer: -2, -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12709873 is divided by 4236622.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 k, and 2 v when four letters picked without replacement from cnkvvdc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.01372 greater than 0.5761?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 163784, 163786, 163788?\n\"Answer: 2*z + 163782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45980173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10\/53 + 36\/371. Let q = -53\/35 + 12\/7. Let n = -0.4 + 0.3. Which is the biggest value? (a) q (b) k (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - c**2 + c. Let q be k(-2). Let o = -17 + 21. What is the second derivative of 6 - 6 - q*j + o*j**2 - j wrt j?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 8100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 6192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60 + 56. Let s = -27.2 - -27. Sort -6, s, a in increasing order.\nAnswer: -6, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -522 (base 7) to base 11\nAnswer: -218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1600431919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 4, -3883, -18, -8 in decreasing order.\nAnswer: 11, 4, -8, -18, -3883","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2820 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 1051 - 1041, -4*u + 14 = 2*t for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 4*g + 7. Let d(f) = f**2 - 4*f - 3. Let x be d(4). Let l be 5*((-6)\/x - 3). Let m be w(l). Solve -2*u - 9 = -5*j, -2*j - 2*u = m*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2259 = -m + 3*f, -128*m = -125*m + 5*f - 6665. What is the least common multiple of 745 and m?\nAnswer: 2235","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-733)\/5131)\/((-3)\/1701)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62433 is divided by 61896?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 60962 (base 16) to base 6\nAnswer: 12251322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-6))\/((-17)\/(-29325)). Suppose 2*n + 5*c = 3*n - 115, -5*n - 2*c + b = 0. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + ((-3 - -6) + (5 - 3) - 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjtp when four letters picked without replacement from ujkttttuppkkktjtt.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/7 + 204*p**2\/7 + 6936*p\/7 + 78608\/7.\nAnswer: 2*(p + 34)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 101454 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4867656*s**4 - 13*s**2 - 2268*s + 29.\nAnswer: -116823744*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -337b1 (base 13) to base 14\nAnswer: -2617b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**5\/20 - t**4\/3 + t**3\/6 + t**2 + 5*t. Let y be -4 + (0 - -3) + 4. Give n(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 5, 0*t = -t - 4*m - 21. Let n be (0 - (-4 - t)) + -3. Is (n + -314)*8\/(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4936 - 0.0064. Let z = 3 - 4. What is the closest to 1 in 4, z, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 take away 0.28428?\nAnswer: -0.41428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -3*m + 837. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7766272 rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -y**4 + 3*y**2\/2 + 88. Let p(k) = 3*k**3 - 2*k. Calculate -2*o(s) - 3*p(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 32886 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26389 and 4.\nAnswer: -105556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 14*r + 171. Give q(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-1968)*-41)\/((-79)\/3)?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0*u + 9 + 0*u - 8*u**3 + 0*u wrt u?\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 8710.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**3 + 21*s**2 + 21*s - 12. Suppose -3*z - 21 + 2 = -5*o, o + 1 = 0. What is the least common multiple of 20 and u(z)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((4*-3*(-1*sqrt(4752) + sqrt(4752)))\/((2*sqrt(120)\/sqrt(4))\/((1*sqrt(10) + sqrt(10) + sqrt(10))*-2)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/16 and 25\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbv when three letters picked without replacement from {j: 1, m: 1, h: 2, v: 4, b: 2, e: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 463596191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 61 = 5*h + 2, 3*i - 5*h = 76. Solve 4*m - 3*y = -6*y - i, -m - 2*y - 13 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5468)\/(-52) + (-3)\/(39\/2). What is the least common multiple of (-84)\/c - 118\/(-10) and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -390.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, d: 6, c: 3, t: 1, e: 1, b: 1}. Give prob of picking 1 c and 1 e.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 11*w**3 - 4*w**2 + 26. Let g(k) = -363*k**2 + 1 + k**3 + 724*k**2 - 360*k**2. Let c(j) = 6*g(j) - s(j). What is the first derivative of c(r) wrt r?\nAnswer: -15*r**2 + 20*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 0 + 8. Suppose 0*m + 24 = -h*m. What is the units digit of 2\/m + 13\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 + m - m + (-31*m**2 + 80*m - 80*m)*(-2 - 4 + 5) to c*m + b + g*m**2 and give g.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.043 - 20912935.693741?\nAnswer: -20912935.736741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -21892 divided by 5\nAnswer: -21892\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 10 = -5*x, -a + 5*x - 7 = 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 9*t = -63. Let h be -1 + 4 + (-3 - -12)\/t. What is the tens digit of (-1)\/((-7)\/1561) + 1*h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2925620 a multiple of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-48)\/(-21) - (-6)\/(-21). Suppose 0 = -d*c + 5*s + 50, -12 = -2*c - 2*s + 10. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (523 + 319 + 6)*(-2*y + 1 - 1 + 2)*(1 + 2 - 2).\nAnswer: -1696*y + 1696","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11103444 (base 5) to base 2.\nAnswer: -10111110001011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -11*x - 36. Let i be g(-4). Suppose 6 = -z + i. Suppose 2*o = -2*o + 16. Solve 0 = n - o*u + 5*u + z, 5*u + 4 = n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m. Let h(z) = -z**3 + 6*z**2 + 7*z + 3. Let o be h(7). Let q(w) = o*w - 3*w - 3*w. Calculate t(q(c)).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15851283 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7082.8 rounded to the nearest one hundred?\nAnswer: 7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 187 - 189. Which is the closest to 1? (a) l (b) 3 (c) 0.18 (d) -1\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/133 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -132 - -30334002?\nAnswer: 30333320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/12 + 2\/12. Let n = 7 - q. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + (sqrt(27)\/(sqrt(9)*1) - (1 + sqrt(432)))*1 + -5 + sqrt(12)\/sqrt(4) + sqrt(75)*-4)**2.\nAnswer: 1620*sqrt(3) + 8343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 43*f - 126*f - 36*f**3 + 50*f + 33. Let w(r) = -r**3 - r + 1. What is 2*v(y) - 66*w(y)?\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014 plus -0.046?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/8)\/(((-4)\/40)\/(-1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s - 815*s**3 + 4*s - 2*s - 1273*s**3.\nAnswer: -2088*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**2*t**3 - 6*m**2*t**2 - 2*m**2 + 17*m*t**3 - 704*t**3 + 35*t**2 - 11 wrt t.\nAnswer: -12*m**2 + 102*m - 4224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -33*f - 12. What are the prime factors of j(-4)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7862 (base 11) in base 7?\nAnswer: 42120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 10:40 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53 and 901.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llmlllml. What is prob of sequence lllm?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -8*b - 10. Let r be x(-7). Let a = 84 - r. Is a a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11 - 3517275.\nAnswer: -3517275.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1986 rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**3 - 3*t**2 + 11*t - 11. Let q be o(1). Let r(z) be the second derivative of 0*z**2 + 3\/20*z**5 + 1\/12*z**4 + q*z**3 + 0 + 12*z. What is r(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385 a factor of 39865803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1655 by 6.\nAnswer: -1655\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/89)\/k)\/(k*((k\/k**(1\/4))\/k)\/k))\/(k**(-26)*k**16))**4 assuming k is positive.\nAnswer: k**(3301\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.3, -1\/9, 0.12, 1\/2.\nAnswer: -1.3, -1\/9, 0.12, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 48 = -204. Let j = -15 + v. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -7*q**2. Let c(g) be the second derivative of -g**4\/4 - 6*g. What is c(a(d))?\nAnswer: -147*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -5 + 5 - -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*d + 5*f + 5 = -29*d, -25 = 5*f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 143 - 162 - (2 + -44 - -11)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 17*q - 5. Calculate k(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*c**3 - 19*c**2 + 19*c**2.\nAnswer: -19*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z - 9. Let u be p(6). Let l(b) = -b + 4. Let j(x) = -x - 10 - x + 2 + 3*x. Let d(m) = -2*j(m) - 5*l(m). Determine d(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5*s = -33, 2*b + 2*s = -s - 31. Let q be 8\/b + 4\/2. Suppose 3*c**4 - 1 + q + 0 = 0. What is c?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -1540 - 3505. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + x = 77, -d + 62 = -x - 9. Let a = d - 29. Calculate the highest common divisor of 18 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 151447?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x - 29*x = 21 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (8\/(-12))\/((-864)\/594) and 13\/592.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a hour in seconds?\nAnswer: 18900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 1:46 AM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16082, -32227, -48420, -64661, -80950?\n\"Answer: -24*o**2 - 16073*o + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 54. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -125, -252, -379, -506?\nAnswer: -633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) -8 (c) 17 (d) -45268\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 3*c + 2. Calculate the remainder when h(-7) is divided by 1*10*10\/4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 14*i**2 + 49*i + 10. Give n(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2104.011 days?\nAnswer: 3029775.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.3 * 124.\nAnswer: -2021.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 306*x + 40.\nAnswer: 306*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 448022674, 448022677, 448022680, 448022683, 448022686?\nAnswer: 448022689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6816 + 7187 - 13681)*(1 - 1 - 4*r).\nAnswer: -1288*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 24544070 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (1 - 0) + 1. Let g(m) = 50*m + 4. Let t be g(a). What is the highest common factor of 26 and t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 11*s**2 + 404*s - 17. Is n(-50) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 7) + (24 - 40 - 26 - 15).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*j = 34*j - 1376 + 461 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5400 and 59544.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6780, -13580, -20380, -27180, -33980, -40780?\n\"Answer: -6800*v + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 p when three letters picked without replacement from mpmppp.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 2*z**2 + 2*z - 2. Let t(y) be the second derivative of y**5\/5 + y**4\/2 + 7*y**3\/6 - 7*y**2\/2 - 5*y - 1. Let h = 8 - 1. Give h*j(v) - 2*t(v).\nAnswer: -v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 1758 = h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18300249 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.836068 plus -7?\nAnswer: -12.836068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 990285757.\nAnswer: 19, 52120303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13534 + 67388\/5. Let u = d + 649\/10. Find the common denominator of -109\/22 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-8)\/160*5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(96\/(-126))*(-4)\/(-3). Let m be (-3 - -1) + (5 - i). Solve -2 + m = 3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 4:26 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2466 or 2467?\nAnswer: 2466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501855 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.867564167 - -1.82?\nAnswer: -9.047564167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(((-63)\/(-6))\/7). Suppose -5*s + 0*s = -2*f - 252, s = k*f + 44. Suppose 0 = 2*j - s + 2. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -503 + -1878347.\nAnswer: -1878850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-26)\/(3 - 1)*-3 is divided by (-15)\/(21\/(-6) + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 43 + a**2 + 15 + 4*a - 19*a - 10. Calculate x(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 0)*(j**3 + 7*j**2 - 7*j + 7*j)*(-1 + 3 + 2).\nAnswer: 4*j**3 + 28*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbzoh. What is prob of picking 1 h and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-1)*-2 - (-145 - 28). Suppose -y - 137 = -a. What is the smallest common multiple of y and 9?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3649 is divided by 3622?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*1)\/(12\/((-30)\/(-5)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a week in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/399 and -17\/19365.\nAnswer: 2575545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9253*c + 6584*c - 9044*c - 5889*c to the form i + g*c and give g.\nAnswer: -17602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*n**3 - 21*n**3 + 1 + 10*n**3 + 0 - n in the form b*n + p + k*n**3 + z*n**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 915*a - a**2 + 902*a + 0*a**2 to t*a**2 + q*a + b and give q.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eemsemmmsggmsgegeee. Give prob of picking 2 m and 2 s.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1611\/36 + (-9)\/12. Calculate the greatest common factor of 2332 and z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**4 + 10*l**3 - 9*l**2 - l. Let q(p) = -2*p**4 - 10*p**3 + 8*p**2 + 2*p. Let b(v) = 4*i(v) + 5*q(v). Find the third derivative of b(y) wrt y.\nAnswer: -48*y - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 12*x - 166938 = 11*x, 5*w = -x + 278228. What is the thousands digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 685376142 divided by 519618\nAnswer: 1319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -34\/11, -2\/9, 14?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/7 + 104*c**2\/7 + 2*c\/7 - 104\/7.\nAnswer: -2*(c - 52)*(c - 1)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21163 + 3 - (0 - -10)?\nAnswer: 2, 3, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 26 = -3*p - 4*m, m = 5*p - 66. Suppose 0 = 5*r - 3 + 13. Let i = r + p. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 q, and 1 c when three letters picked without replacement from qnqtcrqcqqqc?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.3 (b) -3\/4 (c) -65 (d) 2\/13 (e) -2 (f) 21\/10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115000*-66.\nAnswer: -7590000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 255*x + 15. Let v(b) = -256*b - 17. Let d(p) = 3*h(p) + 4*v(p). Is d(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -80, -4, 3.\nAnswer: -80, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6392 and 7191.\nAnswer: 57528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 2*q**2 + 0 + 0*q - 1\/6*q**3 - 1\/24*q**4 + 1\/30*q**5. Give w(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 3\/(-3) + -35 + 44\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 49 - 29 = 0. Let b(j) = 8*j + 13. Let s(x) = 4*x + 6. Give w*s(q) - 6*b(q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73383 - 6059 + 74*i - 36*i - 39*i.\nAnswer: -i + 67324","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-40 + (1 - -1) - (17 + (-18 - -9))).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -6 + 11 + -2 + -7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 11*a**2 - 12*a - 22. Let d be g(-10). Calculate the common denominator of (-3)\/36 + d + 0 and -77\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1254 (base 8) to base 7\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -289*b - 2023. Let w be a(-7). Factor 0 + w*s - 3\/4*s**2.\nAnswer: -3*s**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 369.15 to the nearest integer.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*x - x. Let t be x\/(-3)*(-435)\/(-10). Suppose 3*g - 476 = -t. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/40*(-16)\/(-10))\/(-2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10288 - 4680. Calculate the remainder when s is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 15, y = 4*f - 2*f - 6717. Let j = 18\/61889 + -1241060225\/371334. Let q = f + j. Calculate the common denominator of q and 87\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/15*(52\/(-8) + 4).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5986 and 574?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -23*m + 18. Let v(q) = 11*q - 10. Calculate -4*j(r) - 7*v(r).\nAnswer: 15*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c*h + 79565*c + 934*h + 119 wrt c?\nAnswer: -h + 79565","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -0.2907?\nAnswer: -7.7093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 7*g**2 + 7*g + 8. Let o be y(-6). Factor 5\/4*p**o + 1\/2 + 7\/4*p.\nAnswer: (p + 1)*(5*p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-112)\/(-384) + (-9)\/(-24). Let k = -3 - -2. Which is the closest to z? (a) k (b) 2\/21 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q - 60. What is t(-10)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -6 + -1 + 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1300907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 12:40 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-21)\/(-12)*-2*-2*1. Suppose -33054 = y - b*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 33*r**2 - 44*r + 408. Let w be m(32). Solve -w*h = -11*h - 65 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0*p = -p + 37, -12 = -3*p. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 y when four letters picked without replacement from {y: 3, b: 1, j: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 - 13 + 4)*(-2*l + l + 4 - 5) to h + s*l and give h.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7154744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 708 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 205*r**2 + 3*r + 5. Let f(g) = g**2 - g + 1. Give -2*f(h) - s(h).\nAnswer: -207*h**2 - h - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4333 and 2311346?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8649, -6702, -4755, -2808?\nAnswer: -861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 8*f - 27 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 4*h**3 + (6*h + 0*h + 0*h)*(h**2 - 3*h**2 + 0*h**2).\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 34 = -v. Let w be ((-13)\/3 + (-8)\/(-12))*-21. Let o = w + v. What are the prime factors of o?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (116 + 102 - 40)*(-3*l**3 + 0*l**3 - l**3).\nAnswer: -712*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 10*v**2. Let j(z) = -21*z + 14*z + 8*z. Let h(y) = -3*y + 3*y + 2*y. Let g(w) = h(w) - 5*j(w). Calculate g(b(d)).\nAnswer: -30*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d**2 - 6*d + 4. Let g(l) = 9*l**2 + 11*l - 8. Let c(u) = 3*g(u) + 7*q(u). Let r be c(-9). Suppose r = -n + 10. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2. Let n(v) = -154*v - 33. What is w(n(u))?\nAnswer: -47432*u**2 - 20328*u - 2178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 154f + -2c?\nAnswer: 1523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 912376 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 0.4, -39, 5, -0.9, -966?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80616*v + 344*v**2 + 20 - 80916*v + 781*v**2 = 0.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 31 = 27. Suppose 3*y - u = -49. What is the units digit of -6*5\/(y\/24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -2\/3*x**3 - 2*x**2 - 1 - 1\/12*x**4 - 2*x. Let o(f) be the first derivative of b(f). Solve o(i) = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i + 42 = 29*i. What is the third smallest value in i, 0.045, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 k when two letters picked without replacement from kvykyvtyttyykvytykyy?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-4)\/3)\/((-3)\/108)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-9))\/((-37)\/999).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 12*u**2 - 17*u - 33. Does 11 divide i(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiuuiiiiiyyi. Give prob of sequence yi.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 378? (a) 2\/3 (b) -1 (c) 24.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 85*v + 42*v - 1800225. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128, 114, 100, 86, 72, 58?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5105\/6220)\/(22\/(-4)). Let g = -4\/311 - y. Suppose 50*l = 51*l - 1. Is l at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*j + 156*j = 100 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -674 + 1139. Suppose -3*j - v = -6*j. Suppose -4*f = -12, 4*g - f - j = -30. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -0.184.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 622885 is divided by 11956?\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 216263860, 216263857, 216263844, 216263815, 216263764, 216263685, 216263572, 216263419?\n\"Answer: -m**3 + m**2 + m + 216263859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5*i - 36. Let u be m(7). Let q be (-4 + 5)*8\/(-44). Which is bigger: u or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218517 = -129*v + 731439. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 180*y**2 - 2 - 21*y**2 to x*y + j*y**2 + o and give j.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -248053*x**4 + 84702*x?\nAnswer: -2976636*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 575 and (15 - 13 - -3)\/(0 - -1)?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -232*n**3 + 3*n**2 - 15*n - 66. What is the units digit of x(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5470*b + 19348*b + 327*b in the form j + f*b and give f.\nAnswer: 25145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2916283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 567769334 rounded to the nearest one hundred thousand?\nAnswer: 567800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 - 85 + 62*z - 62*z + 85.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-4)*18\/(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 7 + (-16 - -10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 d when two letters picked without replacement from iiiidiiid.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 60 + 52. Suppose 2*p = -5*v - p + 374, 3*p = 2*v - 158. What is the remainder when v is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3166*r**4*v + 12*r**4 + r**3 - r**2*v - 8*r**2 - r*v - 1025*r wrt r?\nAnswer: 75984*r*v + 288*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 11:26 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3370, 3\/2, -1\/2, -4, -2\/9, 6?\nAnswer: 3370","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4580344 by -572543.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dieddeinde. Give prob of sequence dne.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - a**2 + 6. Let q be f(0). Suppose 3*b - 9 - q = -3*t, -4 = t - 2*b. Let c(u) = -2*u + t*u - u + 11. Calculate c(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/2343? (a) 2\/5 (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*z**3 + 159*z**3 + 105*z**3.\nAnswer: 439*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 207509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**3 + 5*y**2 + 7*y. Let u(q) = 2*q**3 - 4*q**2 - 6*q. Let w be (2\/6)\/((-50)\/(-900)). What is w*u(o) + 5*a(o)?\nAnswer: 2*o**3 + o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2\/3, -2\/7, 204, 3\/4, 3 in decreasing order.\nAnswer: 204, 3, 2, 3\/4, -2\/7, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 112860 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*i**5 + 392 - 392 + (2*i**2 + i**2 - 4*i**2)*(-161*i**3 - 226*i**3 + 553*i**3) + 2*i**5 - 5*i**5 + 2*i**5.\nAnswer: -194*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 31627*f - 2020039. What is y(-64)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -2*w + 40, 0 = -4*g + 16976*w - 16974*w - 80 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2645.687 litres to millilitres.\nAnswer: 2645687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/143 and -51\/8281?\nAnswer: 91091","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/11*h**4 - 4\/11*h**3 + 2\/11*h**2 + 0 + 0*h = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - -1. Let i = y - 19. Let g = 5 - 9. Which is the smallest value? (a) i (b) 0 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*l = 65 - 779 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 628298 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002937521739 to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxyisixiyxsxxiyssss. Give prob of picking 2 s.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 k when three letters picked without replacement from {m: 1, k: 9, l: 1, b: 8}?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 104 = -8. Is (12\/(-16))\/((-1)\/d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -17. Let r be ((-5229)\/(-48))\/s - (-3)\/1. Let q = 1469\/80 + r. Which is bigger: 7 or q?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -230507 and 0.4.\nAnswer: -230506.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 100001010000001011 (base 2) to base 8\nAnswer: 412013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 422, 1, -2\/3, 4\/17, 0.5, -3, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2468*l**2 + 3*l + 26. Is a(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/15 and -145\/564.\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 68 or 339\/5?\nAnswer: 339\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168126 is divided by 148.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -6524024 and -6524024 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -29 - 448\nAnswer: -477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/7 - 48*w**3\/7 + 622*w**2\/7 - 1104*w\/7 + 529\/7.\nAnswer: (w - 23)**2*(w - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v - 3*v + 4*v)*(v - 2*v + 0*v) - 3*v**2 + 2*v**2 + 2*v**2 - 2*v**2 + 527*v - 527*v in the form k*v**2 + s*v + f and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -8*j + 20. Let m(p) = -9*p + 13. Let z(u) = 5*m(u) - 6*q(u). Give z(25).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + t - 1. Let j be v(0). Let w be 4 + (3 + j)\/(-2) + 3. Solve -1 = a - w for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 736 is divided by 433?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6\/23 + -93\/92. Suppose 5*p = 2*a + 17, -p - p + 3 = 3*a. Put p, -2\/3, i in ascending order.\nAnswer: i, -2\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, 4, -4.8, -3, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14391?\nAnswer: 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17888 and 12896.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 811731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5956 by -2909.\nAnswer: 5956\/2909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 5*r**2 - 5*r - 2. Let y be d(-6). Let b = y - -15. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, k: 1, q: 1, a: 1, s: 1, u: 8}. What is prob of sequence uqg?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20547*j**3 + 13422*j**3 - 8194*j**3.\nAnswer: -15319*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/25679 - 436483\/770370. What is the common denominator of (-48)\/(-18)*(-26)\/(-172) and p?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**3\/6 + 22*d. Let g(l) = 4*l**3 - 12*l**2 + 6*l - 6. Let q be g(3). Determine y(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*(w**(1\/32)\/w)\/w*w)*w*w**(-20)\/w)\/(w\/(w**(-4)*w*w*w))**(15\/8) assuming w is positive.\nAnswer: w**(-729\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -2, -2\/9, 2, 4474?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 73*j**3 - j - 20. Let f be s(5). What are the prime factors of ((-18)\/(-7))\/(39\/f)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 2*t - 2*t**2 - 2*t**3 - 5*t + t**3.\nAnswer: -t*(t + 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217 = -65*k - 244 - 124 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5597*r**2 - 5267 + 5267)*(0*r + 0*r + r) to u*r**3 + g + s*r**2 + h*r and give u.\nAnswer: 5597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/92 (b) -5\/3 (c) -1\/52 (d) 4\/3 (e) -4\/7 (f) 0.3 (g) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -4*n**4\/7 + 2500*n**3 + 17520*n**2\/7 - 10000*n - 70016\/7 = 0.\nAnswer: -2, -1, 2, 4376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -11*r**3 + 34*r**2 + 35*r - 196. What are the prime factors of b(-14)?\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-1 + 0) - (-53 - (13 - (13 + 24))).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, m: 3, a: 4, w: 2, h: 1}. Give prob of sequence wh.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/466 and 99\/2?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**3\/f*f**5\/f*(f**(1\/3))**(-3\/7) assuming f is positive.\nAnswer: f**(41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1448916510?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 539, 0 in decreasing order.\nAnswer: 539, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 8078.\nAnswer: -4, 4, 8078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 149069*n + 2683562. Give o(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 34 - 5*w - 34. Let n(l) be the first derivative of -l**5\/60 - l**2\/2 + 2. Let b(p) be the second derivative of n(p). Give b(o(k)).\nAnswer: -25*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**2\/7 - 27827144*t\/7 = 0.\nAnswer: 0, 6956786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + ((4*2*sqrt(132))\/(sqrt(72)\/(sqrt(12)\/sqrt(2))))**2 + -4).\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13677935, -54711738, -123101403, -218846924, -341948295, -492405510, -670218563, -875387448?\n\"Answer: t**3 - 13677937*t**2 + t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, e: 5, m: 2}. What is prob of sequence he?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 623*z + 110268. What is c(-767)?\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44632\/9 - -4966. What is the common denominator of (15 - 6)*22\/(-20) and p?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(2 - (-15)\/(-7)). Let a be i\/(-21)*(11 - -1). Solve -a*j + 25 = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*h**3 - 24*h**3 + 104*h**3 - 10 - 16*h**2 - 21*h**3 - 29*h**3.\nAnswer: 3*h**3 - 16*h**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2, -2, -20, -58, -122, -218?\n\"Answer: -o**3 - o**2 + 6*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: What is 446 minutes before 3:54 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 113, 274, 521, 866, 1321, 1898?\nAnswer: 2609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 7:04 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*k**5 - 860584*k**3 - 653*k**2 - 13586*k.\nAnswer: -600*k**2 - 5163504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 12 - ((-1 - -6) + 8 + -6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -0.01162.\nAnswer: 0.003486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (-6)\/2 - 23. List the prime factors of (-4)\/(3 + j\/6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -6588?\nAnswer: -6589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000685917095 rounded to seven decimal places?\nAnswer: -0.0006859","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, j: 2, w: 1, x: 1, u: 1, s: 2}. What is prob of picking 1 l and 1 x?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(192)*1)\/sqrt(12)*-1)\/(5*sqrt(512) - -4*sqrt(80)\/sqrt(10)))**2.\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, r: 5, m: 2, w: 4}. Give prob of picking 2 r.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*i + 0*i + 2*i)*(-1 - 2 + 1) + 0*i - 5*i + 2*i - 218*i - 168177 + 168177)*(4*i - 4*i + 2*i) to j + m*i + a*i**2 and give a.\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (119\/(-9) - (-10)\/45)*-1*-1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4844, -3, 5.\nAnswer: -3, 5, 4844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 248787.6 grams in micrograms?\nAnswer: 248787600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -821304*p*w - 155560*w wrt p?\nAnswer: -821304*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -4*o - p, 5*o - o - 10 = -2*p for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 40*g**2 - 34*g + 12. What is q(39)?\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y = 13*y - 21*y + 128. Determine g, given that 0 + 4*g + 1\/4*g**5 - 10*g**2 - 5\/2*g**y + 33\/4*g**3 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11\/((-33)\/(-24)) - 6. Suppose -t*l - o = 1, 1 = 7*l - 12*l - 4*o. Which is the closest to l? (a) 5 (b) -3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 42828 and -4685967.\nAnswer: -4643139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57564 = -390*i + 408*i. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 13*x**3 + 12. Let z(i) = -3*i**3 - 3. Let j(q) = -2*t(q) - 9*z(q). Let c(l) be the first derivative of j(l). Let g(k) = -2*k**2. Calculate g(c(p)).\nAnswer: -18*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6561999 is divided by 272?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/465 and 43\/403?\nAnswer: 6045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1560.5371 rounded to the nearest ten?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxxxxfxllxxjxxxx. What is prob of sequence xlx?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20772 is divided by 10222.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 1 - 4. What is the tens digit of ((-25)\/2)\/(j\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - 13*p - 37, -2*j = 5*p + 93 - 67 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 2537*j + 1267*j + 1316*j.\nAnswer: 46*j - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - 1 - (3 + -28 + (-322 - -433)).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q - 6118 + 4072*q**3 + 12232 - 6114.\nAnswer: 4072*q**3 - 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2114 + -2109. Suppose 3*q = q + 3*z + 45, 4*q + 5*z = 79. Solve 8*v = q - i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -10, 2, 8, -1 in descending order.\nAnswer: 8, 2, -1, -10, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5*b - 34. What is i(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 4*j**2 - 2*j. Let g be h(-5). Suppose 739 = 16*t + g. Solve -4*i + t = 5*u + 11, 6 = -2*i + 2*u for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2567613640 to the nearest 1000000.\nAnswer: -2568000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**3 - 18*k**2 + 2*k + 282?\nAnswer: 12*k - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 10200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five eighths of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -15*q**3 - q**2 + 1. Let u be h(-1). Suppose 31*o + u = 36*o. Let c be ((2 + -5)\/o)\/((-3)\/12). Solve 0 = -c*b - 8 - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342 + 627 = -3*g + 4*v + 348, 5*v = -5*g - 35 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -375 divided by -15?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22077 is divided by 1149?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*i - 5*i - 2*i + 5*i to h*i + s and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -768.46909 and -26207.7?\nAnswer: 25439.23091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**4 + 3*v**4 - 3*v**4 + (6 + 1 - 8 - 6*v**2)*(v**2 + 2 - 2).\nAnswer: -7*v**4 - v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -18*o + 10. Let r be n(-11). Suppose -4*g + w + r = -w, -5*w = 5*g - 230. What is the remainder when g is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6061 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*l = 14, -4*b - 3 = l + 5. Let x(c) = 98*c + 47. Let t(y) = -113*y - 55. Let m(s) = 6*t(s) + 7*x(s). What is m(b)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 4:12 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 9.9. Is f at least as big as 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1072)\/(-88) - (-2)\/(-11). Suppose 7 = 4*x - 17. Let l = p - x. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -260325264036 - -0.4?\nAnswer: -260325264035.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-40)\/105)\/(-2))\/((-300)\/(-210)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 6*f + 1. Let x(o) = o + 16. Let r be x(-13). Let a be -2*r\/(2 - -1). Let v be a*(-10)\/(-4)*1. Calculate t(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a factor of 3401181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -0.02 (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1620*c**4 - 12465*c**3 + 4420*c**2 + 3740*c + 480 = 0 for c.\nAnswer: -8, -2\/9, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2016 and 252?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 2\/5 (b) -0.3 (c) 6\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 + 0)*(-46 + 6 - -3). Suppose -4*o - 3*y - 6 = -h, -103 = -2*o + 3*y. Calculate the greatest common divisor of 94 and o.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 2\/489827 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43304 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3203.02965 + -3203. What is q rounded to 3 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 15*w + 174. Let c be 21\/56 + 273\/(-24). Let z be i(c). What is the greatest common factor of 243 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259970.\nAnswer: 2, 5, 25997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1143\/1016)\/(1*(-22)\/(-352)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1954672336?\nAnswer: 2, 122167021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {w: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -360, -352, -344, -336, -328?\n\"Answer: 8*r - 368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1675544305?\nAnswer: 5, 3761, 89101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -1002?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4217.7 - -3243. Round s to the nearest 10.\nAnswer: -970","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -320123?\nAnswer: 320113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 16*t**2 + 4*t. Let l(k) = -19*k**2 - 4*k - 1. Let n(a) = 5*l(a) + 6*m(a). Give n(5).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 3*z**2 - 11*z + 33. What is the remainder when l(7) is divided by 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -3*k + 5*i - 0*i, 5*i = 5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -62146.4 minus -1539334?\nAnswer: 1477187.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1d (base 14) to base 11\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -10*j**2 - 59*j + 558. Give f(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -588*v**2 + 3750 + 5*v**3 - 5*v**3 - 3752 + 4*v**3.\nAnswer: 4*v**3 - 588*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 q when four letters picked without replacement from aaqqiaaiiqa.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 + ((-3)\/4 - (-336)\/64)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r - 1. Let q(f) be the second derivative of f**3\/2 - 3*f**2 + 3*f. Let i(c) = -c + 1. Let s(a) = 4*i(a) + q(a). Calculate -5*n(z) + 3*s(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*s**3 + 3*s**5 - 7*s**3 - 2*s**5 - s**5 + s**5 + (-2*s**3 + s**3 + 3*s**3)*(s - s**2 - s) + s**5 - s**5 - 4*s**5.\nAnswer: -5*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 98 - ((22 - -85) + -91)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2\/3))\/(w*w**1)*(w\/w**(1\/4)*w*w)\/w**(1\/3)*(w*w*(((w\/w**(-1\/2))\/w)\/w)\/w)**(-39)\/(w\/(w**(-1)\/w))**36 assuming w is positive.\nAnswer: w**(-507\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 281\/3 + -95. Suppose 2*h = 3*f + 12, -8*h = -5*h - 9. Is f >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 39366\nAnswer: -39365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/222894 and 1\/10248.\nAnswer: 891576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -90258827*a**3*q**3 - 4*a**2*q**3 - 5*a**2*q**2 - 3*a**2 - 8*q + 1108 wrt a?\nAnswer: -541552962*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 28002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5962.91063 and -2063?\nAnswer: 8025.91063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.024 - -0.034. Let y = 35 - 73\/2. Let o(r) = -r**2 - 16*r - 12. Let q be o(-15). Which is the smallest value? (a) y (b) q (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 40*f**2 + 3309*f + 298. Give d(-83).\nAnswer: 1211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*a + 17*a + a**4 - 67*a + 28 + 28*a + a**3 + a**2 to q*a**2 + o*a**3 + c*a + d + i*a**4 and give d.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 7325\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 23615217, 47230437, 70845657, 94460877, 118076097, 141691317?\n\"Answer: 23615220*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 18 = -4*n, -3*t + 2*n - 19 = -3*n. Suppose 0 = x - 5, -4*p - t*x + 10 = -20. Let j be 10\/(-20) + -2 + 2. What is the nearest to 0.1 in j, -3, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 2)\/((-68 + -10)\/13). Let o(f) be the second derivative of 3\/2*f**2 - 3*f**3 + l - 3*f + 9\/4*f**4 - 3\/5*f**5. What is a in o(a) = 0?\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 q when three letters picked without replacement from qjjqqqqqjjqjqqqqqj?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 5*b + 28, 64*b + 1 = 4*s + 63*b for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 13 + (0 - 19).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.354 to 1 dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, g: 4}. What is prob of picking 3 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -16, -64, -152, -292?\nAnswer: -496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -392 + -2 - (-4)\/(-2). Calculate the common denominator of 1\/4 + 333\/h and 71\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/40*8*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/3 - 114\/(-9). Suppose -h - 2*o = -v, -5*o + 40 - 15 = 0. Suppose 5*t - 293 = 2*z, -t + 4*t - h*z = 183. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 3. Let j be (-18)\/(-5) + r\/15. Suppose -33 = n - j*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/5 - 17306*g**2\/5 + 69248*g\/5 - 69256\/5.\nAnswer: -2*(g - 2)**2*(g + 8657)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -75 + 121. Solve 44*w = n*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y - 2*y + 14*y - 6*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-110)\/(-88))\/(1\/(-4)*-110)\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*r + 65 + 40 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**3 - 10*i + 3*i**3 - 171 - 262.\nAnswer: 3*i**3 - 10*i - 433","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8148)\/85554*1\/10.\nAnswer: -1\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -9*d - 3. Let u(r) = 4*r + 2. Suppose -173*f = -174*f - 5. Suppose -l + q = -3 + 1, -2*q - 16 = 2*l. Determine f*u(x) + l*w(x).\nAnswer: 7*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 244 - 1201?\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 440491133?\nAnswer: 440491133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**3 - 128*f**2 - 42*f - 36. Give d(43).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7*f + 29. Let q(b) = 20*b + 86. Let u(a) = -8*h(a) + 3*q(a). Let w be u(-5). Solve w = d - 4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 2*s - 8. Let a be b(4). Is -1\/25 greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -18*s**2 + 2*s + s**3 - 24*s**2 + 44*s**2 - 6*s + 2*s. Let c(d) = 3*d**3 + 5*d**2 - 5*d + 1. What is 2*c(i) - 5*r(i)?\nAnswer: i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r + 8059612 + 9491225 = 94*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -121646 by 4.\nAnswer: -60823\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + 2 + (-10 - -9). Let o(a) = a + 4. Let j(t) = -1. Determine w*j(m) + o(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.340757g in tonnes?\nAnswer: 0.000009340757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 11*w - 25. Let h be u(-10). Let i be (-72)\/h + 2\/10. Let s(j) = 2*j - 2. Let k be s(3). Solve -i*f + o = -13, -o - k = -5*f - 3*o for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -254, -505, -756, -1007, -1258, -1509?\n\"Answer: -251*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9867464 rounded to the nearest ten thousand?\nAnswer: 9870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/20654823 and 38\/35?\nAnswer: 103274115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-10)*5\/2 - 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 928 by -8.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 618*l - 2. Let f(p) = 306*p - 1. Calculate -5*f(g) + 2*w(g).\nAnswer: -294*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.22 - 9.78. Let p = 9.8 + r. Let d = 7\/44 + -10\/11. Put p, -5, d in decreasing order.\nAnswer: p, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 14*m**3\/3 + m**2 - 96443. Let i(j) = 12*j. Let k(l) = -3*l. Let n(v) = 4*i(v) + 15*k(v). Determine n(h(u)).\nAnswer: 42*u**2 + 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9857*z**4 - 4*z**3 - 3006*z**2 - 31*z wrt z?\nAnswer: -236568*z - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 857250 and 53082.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -36*i + 33*i. What is the smallest common multiple of 20 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) 1\/39 (c) -0.1391\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 4\/5, 1.3, -4, 3 in decreasing order.\nAnswer: 3, 1.3, 4\/5, 0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 801*m**3 - 20*m**2 + 36*m - 8. Is j(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -19*a. Let u(f) = 20*f. Give 3*t(o) + 4*u(o).\nAnswer: 23*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 101 - -5?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*n - 225, 2*h + 72 - 222 = -2*n. Suppose 0 = 4*p - h - 9. Calculate the remainder when 38 is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 120119\/158256 + -1\/11304. Let n = -1\/112 + o. Determine q so that -1\/4*q**2 - 1\/2 + n*q = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/6*27\/5. Let d = m - -11\/5. Which is bigger: d or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -7*z**2 + 6*z + 2 - 2*z - 3 - z**3 - 2. Let a be t(-6). Let b be (36\/a)\/((-2)\/7). Solve -4 = -b*j + 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8439 - -484910740?\nAnswer: 484919179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + h**2 - h**2 - h + h + (13*h - 13*h + 3*h**2)*(4 - 1 - 5) - 2*h**2 + 4*h**2 - 3*h**2 + (1 - 1 - 1)*(0*h - 3*h + 0*h)*(-h + h + 2*h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -6*s + 2*s + 160, s - 47 = -f. Let z = 731 + -498. Suppose 5*b - z = -s. What are the prime factors of b?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 minus 816024465581?\nAnswer: -816024465591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 36*x**2 - 16*x - 16. Let g(i) = 7*i**2 - 3*i - 3. Let b(q) = -16*g(q) + 3*s(q). Let n(l) = l - l + 3*l - l. What is b(n(a))?\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-940)\/53298*-27*(-6)\/5.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*x + 1. Let t(a) = -103*a**3 + 2*a**2 + a - 1. Does 11 divide t(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/(324\/(-104) + 3 + 0). Let l = m - -284. What is the common denominator of 168\/l*(-6)\/4 and -97\/14?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 0, -4*h = -3*u - 6*h. Solve 5*a = -10 - u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + 2*sqrt(637) + 2)*6.\nAnswer: -36 + 168*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 440\/(-15)*(-25)\/((-275)\/(-6)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a hour in seconds?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 2*h + 2. Let l be u(4). Let y be l\/(-2)*4\/3. Let t(d) be the first derivative of -d**2 + 5*d - 34280. Determine t(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -252 by 19.\nAnswer: -252\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from snsnnnnnnnnnn. Give prob of sequence ns.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55705\/74284 - -2\/18571. Let h = 3.32 + 0.08. Let m = h - 3. Which is the smallest value? (a) -0.08 (b) i (c) m (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vigaagiooogov. What is prob of picking 2 a?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 21450?\nAnswer: 21454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 140 + -55. List the prime factors of l.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2200221 + -2110020221?\nAnswer: -2112221212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 9*z**2 - 21*z + 10. Let d(i) = 4*i**2 - 10*i + 5. Let t(w) = -13*d(w) + 6*o(w). Let s be t(-4). What is the greatest common divisor of s and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -150, -625, -1412, -2505, -3898?\nAnswer: -5585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-30)\/4)\/((-48)\/32). Suppose 3*f - 830 = -4*s, -n*s = -33 + 8. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**5\/13 + 2*f**4\/13 + 6*f**3\/13 - 2*f**2\/13 - 4*f\/13 = 0 for f.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 1051*b - 21122. Give l(20).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2096777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06 + 519.4609110473.\nAnswer: 519.5209110473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 16*n + 67. Let v be d(-9). Solve -10 + 2 = 4*q + 2*w, -4*w = v*q + 12 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (93\/(-15) - 3)\/((-9)\/(-45)). Sort -5, -3, t, 5.\nAnswer: t, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2232004237?\nAnswer: 1151, 1939187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-75)\/(-30) + 6\/(-4). What are the prime factors of (-981)\/(-18)*(p + 5)?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*p**2 - 323*p = 0 for p.\nAnswer: 0, 323\/157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.857*107\nAnswer: 91.699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 6:32 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 4, 0 = -3*n + n - 2*d + 6. Suppose 4*u = -4*r - 20, u - 20 = -5*r + n*u. Solve 5*b = -r*b - 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k + 1. Suppose 8*w - 10*w = -14. Suppose w*n - 5*n = 12. What is c(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 1901*r**4 + 48 + 1893*r**4 - 55)*(-17 - 8 + 11)*(0 + 1 + 0).\nAnswer: 112*r**4 - 28*r + 98","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.873 (b) 1\/3 (c) 1\/4 (d) 108\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 39, 50, 63, 78, 95, 114?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -9. Let u be 24\/40*(k - -20). Let f(v) = -5*v - 2*v + u*v. Let m(t) = -t**2. Determine m(f(w)).\nAnswer: -25*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 0*q**2 + 0*q**5 - 1\/2*q**6 + 0*q**4 - 1 + 0*q - 4\/3*q**3. Find the third derivative of s(h) wrt h.\nAnswer: -180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*j**6 + 147*j + j**2 - j**6 - 139*j + 3*j**5 wrt j?\nAnswer: 480*j**3 + 180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 6*b - 27, 2*y + 546 - 580 = -7*b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 30167.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fgq when three letters picked without replacement from {z: 2, g: 3, q: 4, f: 1, t: 1}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445693298.\nAnswer: 2, 19, 1297, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1174557091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/10)\/((28\/32)\/(-7))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/555 and -68\/29410005.\nAnswer: 29410005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-189045))\/(963\/45 - 21). Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l*w**3 + 9*l*w**2 - 14*l*w + 570*w**4 wrt w.\nAnswer: 6*l + 13680*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m + m + 572 = 0. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17782.1824 to the nearest ten.\nAnswer: -17780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(171) + 2*-2*sqrt(171) - sqrt(171) - sqrt(171)) + sqrt(171))\/(sqrt(144)*6).\nAnswer: -3 - sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/11)*k\/k**(-1))\/(k**(-1\/3)\/k**(-2\/17)) assuming k is positive.\nAnswer: k**(1906\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61 - -63. Suppose s*z = -5*y - 102, 5*y - 4*z + 97 = -z. Let g be 6*(4 - y\/(-6)). Solve 2*d = 6 + g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 + 68 + 16*k**2 - 35*k**2 - 53*k**2 + 74*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-21))\/((-8)\/12)*(-9)\/(-162).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1293 - 32*w + 37*w + 1325)*(0 + 0 - 1).\nAnswer: -5*w - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-6) + 346\/6.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70 - -19. Let u = v + -57. Calculate the remainder when u is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 486?\nAnswer: 3402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, q: 3, x: 4, j: 9, y: 1}. What is prob of picking 2 q, 1 x, and 1 y?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*a*b**4 + 2*a*b**3 - 4*a*b**2 + b**3 - 8*b**2 wrt b.\nAnswer: 264*a*b + 12*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = s + 2*s - 9, 0 = 3*k - 3*s + 9. Let m(n) = n + 3 - 4*n + 0*n. Let g be m(2). Sort -0.2, k, g in ascending order.\nAnswer: g, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhunhunu. Give prob of picking 2 h.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and 6530.\nAnswer: -52240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/17)\/b**20)\/((b*b**(-7)*b)\/b*b\/b**(-4)) assuming b is positive.\nAnswer: b**(-324\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3590*m + 7074*m - 3485*m. Let h(g) = -357*g - 1. Give z(h(p)).\nAnswer: 357*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from zzaaaaaaa.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + -1)**2 + sqrt(65)\/sqrt(5) + -2 + -5 + (sqrt(13) + sqrt(13) + (sqrt(13) - (sqrt(13)*-1 + -3))**2 + 5 - (1 + 0 + sqrt(832))**2).\nAnswer: -305 - 13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 45*l + 2 - 46*l - l**2 + 2*l**3. Let h be k(1). Are 1\/61 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24157? (a) -2\/161 (b) -0.4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**2 - 17564*x - 37932320 = 0.\nAnswer: -4952, -3830","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 2\/11, 1058.\nAnswer: -2\/7, 2\/11, 1058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 13*y + 7. Let j be q(5). Suppose 0 = -70*o + j*o + 8. Is (2\/3)\/(o\/(-468) - 0) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/6*(-26)\/39.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4759 (b) -3.3 (c) 2\/5 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 8 = 0, -5*h = 10*a - 5*a - 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*3 - (-6 + 14). Let y = 43 + l. Calculate the remainder when (-6)\/(-2) + 2 + y is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + -1)\/((-4)\/(-524)). Is x\/(-3)*(-15)\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 - -134\/3. Let q = -1496 - -1500. What is the second smallest value in q, 7, o, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -4400031?\nAnswer: 4400040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 124448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 5*z = -710. Let n be ((-1443)\/26)\/(1*3\/(-40)). Calculate the least common multiple of (-8)\/10 + n\/50 and z.\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1334443254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13635*n**2 - 9545 + 9545 - 6*n**3 - 13625*n**2.\nAnswer: -6*n**3 + 10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(3\/7)\/d**18 assuming d is positive.\nAnswer: d**(-123\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0 + (300\/(-18))\/(1\/(-3)) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 2429*p + 422529. Give r(-163).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 1298.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 8*g**2 + g - 5. Let z be v(8). Suppose -28 = -z*h - h. Suppose -29*s + 4*n = -33*s + 24, 4*s = 2*n + 42. Is s > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 10:15 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1563 + 1562.6. Which is the fourth biggest value? (a) 1 (b) 174 (c) h (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*s - 329 = 0, -3*s + 2*s + 3 = 0. Suppose -3*z - z = -p. Calculate the highest common divisor of 64 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 340*l**2 + 20*l - 17. Let b(s) = -113*s**2 - 7*s + 6. Calculate 17*b(j) + 6*n(j).\nAnswer: 119*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 657?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 23*p**3 + 233*p**2 + 31*p + 438. Calculate d(-10).\nAnswer: 428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1519\/2 + -3037\/4. Let w = -86 - -82. What is the closest to w in g, -2, -1\/6, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*x + 4*u, 2*x - 4 + 15 = 5*u. Let z = 4 + x. Suppose 0 = 3*s - 3, -2*o + z = -5*s - 0. Solve 2*l - 1 = -o, 0 = k + 2*l + 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4225, 3987, 3393, 2281, 489, -2145?\nAnswer: -5783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 95651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*l - 12218 = -11818 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2879 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*w - 335*w - 24 = -165*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -27675 (base 8) in base 7?\nAnswer: -50426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 131*n - 244. What is g(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xjjxrtftttrf. Give prob of picking 2 x and 1 f.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1857 greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -293*j = -299*j + 12. Let c(q) = 156*q + 34. What are the prime factors of c(j)?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115, -235, -355, -475, -595?\nAnswer: -715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 57*x - 29*x + 2 - 27*x. Suppose -14*j + 24 = -10*j. Suppose -j*u + 10*u + 4 = 0. Determine z(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 18*h**5 - 5*h**4 - 5*h**3 - 2*h. Let o(l) = 9*l**5 - 3*l**4 - 3*l**3 - l. Let d(j) = -3*m(j) + 5*o(j). What is the second derivative of d(b) wrt b?\nAnswer: -180*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 158991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -36189, -289494, -977041, -2315952, -4523349?\n\"Answer: -36187*t**3 + t**2 + t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/11)\/(d*d**(3\/2)*d*d*d*d))**(1\/21) assuming d is positive.\nAnswer: d**(-7\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 904887758 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*b = 26, 0*c - 5*c - 1 = -4*b. Let o(a) be the first derivative of 0*a + 0*a**2 + 2\/3*a**c + 1. Solve o(x) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*s**4 + 17*s + 793*s**2 - 793*s**2 wrt s.\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18069408 a multiple of 2016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6098, 12794, 19490?\nAnswer: 26186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 - 44 - 37 + 117 - 36.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 7:09 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 10*v**4 - 11*v**3 + 11*v**2 - v + 11. Let p(h) = h**4 - h**3 + h**2 + 1. Let f(i) = 2*b(i) - 22*p(i). Find the second derivative of f(w) wrt w.\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110484666.924 - -2.41\nAnswer: -110484664.514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0266021 rounded to four decimal places?\nAnswer: -0.0266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 664*d*y**3 - 175797*d*y + 134844*y**3 - 75*y wrt y.\nAnswer: 3984*d*y + 809064*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28058928*z - 11989280 wrt z.\nAnswer: -28058928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -12*q - 12. Is d(-11) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 6. Let g be l(-4). Suppose -h - h = 0. Suppose h = -0*r - r. Solve r*a + g = -5*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.49 - 25.51. Let f = -26.06 - i. Let g = f - -0.060021. Round g to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -637.36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 p, and 1 n when four letters picked without replacement from {p: 6, n: 3, l: 6, s: 3}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**5\/9 + 107*d**4\/9 - 2807*d**3\/9 - 3023*d**2\/9 + 312*d + 324 = 0.\nAnswer: -1, 1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5148 divided by 33\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42712 = n - 3*n + 4*i, 0 = 5*n - 2*i - 106732. Is n a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 451*t - 18*t**2 + 16*t**2 - 2146*t.\nAnswer: -2*t**2 - 1695*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6 - 0.2. Let z = -14 - -16. Which is the second smallest value? (a) l (b) 1\/7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, i: 2, v: 1, s: 1, e: 1}. Give prob of picking 1 s, 1 i, and 1 n.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1867.5377 times 0.3?\nAnswer: 560.26131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -7*k**5\/4 + 13*k**3\/2 + k**2\/2 - 3*k - 8. What is the second derivative of o(j) wrt j?\nAnswer: -210*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 125 = 5*y, 3*y + 3*d - 135 = -2*y. Calculate the remainder when 93 is divided by y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220*h = -441*h + 223*h - 11354. What are the prime factors of h?\nAnswer: 7, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 999*w**3 - 332*w**3 - 338*w**3 - 331*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 123308 - 123304. Factor 24\/7*r**3 + 36\/7*r**2 + 0 + 3\/7*r**n + 0*r.\nAnswer: 3*r**2*(r + 2)*(r + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(19 + -47)\/(-3864)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**5 - 1248*q**4 + 150411*q**3 - 4307514*q**2 + 39322020*q - 62597400 = 0. Calculate q.\nAnswer: 2, 17, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232*x**5\/3 - 944*x**4\/3 - 1502*x**3\/3 + 2254*x**2\/3 - 728*x\/3 + 40\/3 = 0. Calculate x.\nAnswer: -2, 2\/29, 1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -13*z**2 + 6*z + 17. Let y(u) = -24*u**2 + 12*u + 31. Let d(t) = -11*o(t) + 6*y(t). Let q(n) = -8*n - 2. Let a be q(-1). Calculate d(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*u + 857 = 142 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -62, -60, -58?\n\"Answer: 2*f - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2402*q**3 - 1146*q wrt q?\nAnswer: -14412*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -96511 and -20.71.\nAnswer: 1998742.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6121, 12582, 19053, 25540, 32049?\n\"Answer: w**3 - w**2 + 6457*w - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 - 30. Suppose -2*y + v = -z, -2*y + 0*y + 3*v = -22. Solve -5*p + 3*p = -y*j, 3*p + 5*j = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 117301, -1\/10, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 241516, 241391, 241182, 240889?\nAnswer: 240512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*n**5 + 59*n**2 + 667*n.\nAnswer: 220*n**3 + 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 25986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 144\/960*60\/180\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1024483+-112\nAnswer: -1024595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 9. Suppose -3*r + 0 = -3. Let x be 5\/15 + (r - 0). What is the second biggest value in 4, l, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**2*m**3 + 5*j**2*m + 1854617*j*m**3 - 3*j*m**2 - 1946*j*m + 59*m - 1 wrt m.\nAnswer: -6*j**2*m + 11127702*j*m - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2004596 divided by 1\nAnswer: 2004596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3*u + 50 = 2*u, 3*u = 15. Let l = -3 - -2.9. Let w = -9 - -8.6. Which is the second smallest value? (a) h (b) l (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = m - 16, -3*j - 36 = -4*m - 29. Suppose -11*z + 1368 = m*f - 6*z, -5*z + 20 = 0. List the prime factors of f.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -266220 - -20?\nAnswer: -266200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1212973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 10*i**5\/7 - 5324*i**4\/7 + 3304*i**3 + 54960*i**2\/7 - 25344*i\/7 = 0.\nAnswer: -2, 0, 2\/5, 6, 528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18323597 is divided by 18323572?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/(-2*5\/(-90))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 7:53 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2363 divided by -17\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3475 + -3441. Is z equal to 1\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122642440279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 115*f - 256 - 1239 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u + 353 + 349 = 0. Suppose -23*a = 5*a - 252. What is the least common multiple of a and u?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.205 and -1187811?\nAnswer: 243501.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -907, -1816, -2725, -3634?\nAnswer: -4543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s - 25. Determine x(26).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -199914 + 479929. Suppose a = 4*s - 3*f, -7242 = 5*s + 2*f - 357232. Round s to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 9. Suppose -r*l - 5*g + 0 + 5 = 0, -5*g - 20 = 0. Suppose l*z + 20 - 95 = 0. What is the highest common factor of 135 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 4*y - 2*y)*(-32 - 34 + 62) - 2*y + 240 + 167 - 216.\nAnswer: -6*y + 191","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/25*45\/6.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 15\/(-13)) + (-2)\/13. Suppose m = 56 - w. Let f = m + -60. Let k(c) = c**3 + 4*c**2 - 4*c - 1. Determine k(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1451 and -1.\nAnswer: 1451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ryqpr. What is prob of sequence rr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of 333*f**7\/56 - 573*f**6\/32 + 163*f**5\/8 - 245*f**4\/24 + 5*f**3\/3 + 133*f**2. Solve u(p) = 0 for p.\nAnswer: 2\/37, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39406920 divided by -8728.\nAnswer: 4515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6}. What is prob of picking 3 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22164 + 66?\nAnswer: 22241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-60)\/(-160) + (3227\/(-8) - -1). Let m = 2009\/5 + a. What is the smallest value in -21, 0, m?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a tonne in kilograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -345, -1424, -3275, -5946, -9485, -13940, -19359?\n\"Answer: -8*g**3 - 338*g**2 - 9*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.9074 - 1.904103. What is s rounded to five dps?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001242 to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (12\/15 - (-2786)\/(-420))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 41. Let t = s - 20. Suppose 75 - 7 = 5*v - 3*p, -3*v + 4*p + 32 = 0. What is the highest common divisor of v and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/(21\/6)*2. Which is greater: y or -13\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2320 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28 and 0.06?\nAnswer: -1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**4 + 80*r**3 + 372*r**2 + 520*r + 224 = 0 for r.\nAnswer: -14, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 32631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-9) - 4\/((-36)\/29). Suppose -2*r + 4 = -4*k, -w*r + 2*k = -6 - 4. Solve r*l = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18224331 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 - -61 - (-2 + 9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/540)\/((-14)\/(-63))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 3)*(-3 - 3 + 4)*(-u + 4*u + 0*u)*(-2*u**2 + 2*u - 2*u) as s*u**3 + i*u**2 + q*u + h and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, r: 4, a: 6, d: 1}. What is prob of picking 1 z and 1 a?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 730017 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 5:30 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**3 - 12 + h + 3 + 5 to n + a*h**3 + v*h + o*h**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbeebbbebebbbbubbe. Give prob of sequence bbu.\nAnswer: 91\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -21*j - 6. Let q be d(-1). What is the highest common factor of 12 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -4\/3*x**3 - 3 + 0*x**2 + 5*x. Differentiate p(b) with respect to b.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - 0.7. Let t = 285.2 + -291.2. Which is the second biggest value? (a) t (b) u (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 995940.\nAnswer: 2, 3, 5, 11, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3458 + 4169. What is the greatest common factor of v and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*w + 21261 = 0, 39*w - 4 = 40*w. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9980 (base 10) in base 12?\nAnswer: -5938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 299*u - 302. Let y be m(1). What is the fourth biggest value in 0, y, -255, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.1033 - -7.1033. Sort -199, 2\/5, f.\nAnswer: -199, 2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x**2 + 236*x - 650. What is p(79)?\nAnswer: -729","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-384)\/20)\/(-8)*3\/((-3)\/(-5)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9639.62 millennia to years.\nAnswer: 9639620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 2:32 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5 + 3)*(-15*x - x - 11*x) in the form v*x + k and give v.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k + 11. Let x be w(-6). Suppose 0 = 2*d + 2*r - 14, 5*d + 4*r - 20 - 12 = 0. What is the second derivative of d*z**5 + x*z - 3*z - 6*z**5 wrt z?\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3145*w - 5485. Let b be n(2). Which is greater: 808 or b?\nAnswer: 808","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3432*b*s*t**3 - 27724*b*s*t - 3*b*s - b*t**3 - 8*b - 1520*t**3 + t**2 wrt t?\nAnswer: 20592*b*s - 6*b - 9120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + 26 + 6 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43155.83104 + -43003.83. Let a = -152 + x. What is a rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 5*u = 15, -60*y + 6*u - 12 = -63*y + 8*u for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 0.657 (b) -57 (c) -2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1171 or 1172?\nAnswer: 1171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8536, -17075, -25622, -34177, -42740?\n\"Answer: -4*m**2 - 8527*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 162929330 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 289.6 times -3?\nAnswer: -868.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31656 - -32719.\nAnswer: 1063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5, 0, -5, -10, -15?\n\"Answer: -5*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2690 - -3485. Is 53 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d84 (base 14) to base 6\nAnswer: -20200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -350 - -193. Let t = -146 - l. What is the nearest to t in 5, 3, 2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 7.92. Let g = u - 0.08. Let n = 1.1 + -1. What is the closest to g in n, 5, 1\/8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12975103 - 8.\nAnswer: -12975111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -383, -2209, -5463, -10121, -16159, -23553, -32279, -42313?\nAnswer: -53631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 639 = 138*i + 52 - 1345 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (43 + (-19591)\/455)*(-60)\/18\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 318114 and 106038?\nAnswer: 318114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 8286*u - 5350573. Give n(602).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 157.65 - 154. Let a = t + -0.15. Let v = a - 0.5. What is the biggest value in v, -0.5, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 741, 769, 815, 879?\n\"Answer: 9*r**2 + r + 731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 83894.481 milliseconds in hours?\nAnswer: 0.0233040225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/1 - (-14)\/(-6). Let r = -0.8 - 0.2. Let y = r - -1.2. Is y smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f - 1170 + 8730 = 0. Is f a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 10 = -2*a. List the prime factors of (100\/6)\/a*3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-120)\/16)\/(-5)*32\/(-666). Which is bigger: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -21, -928, -3, -2 in descending order.\nAnswer: 9, -2, -3, -21, -928","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*g - 74*g - 10552268 = 7*g. Round g to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 9*x + 14. Let c = -37 - -26. Let w be i(c). Is (-3377)\/(-44) - 2\/w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87714*b + 87713*b - 6 - 2 - 23.\nAnswer: -b - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 3*x**2 + 3*x - 36. What is m(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 3441.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 0)*(1050 + 398 - 677)*(-l**3 + 0*l**2 + 0*l**2) in the form h*l**2 + n*l + c*l**3 + s and give c.\nAnswer: -771","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = -18*a, 6*m - 2*m - 4*a + 791 - 1605 = -866 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -6*r**3 - 6*r**2 + 4*r + 4. Let u(l) = -7*l**3 - 7*l**2 + 5*l + 5. What is -5*p(c) + 4*u(c)?\nAnswer: 2*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 8*m + 241. Calculate the remainder when 101 is divided by i(-27).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 577832.\nAnswer: 2, 72229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51 + 67.9. Let r = y + -17. What is the nearest to r in -2\/5, -0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/45 - (-160)\/9. Let s = -12 + v. Solve -4 = -k - s for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 0.9. Let v = -58.25 - 21.75. Is o >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-304 + 172 + 190)*(0 + 3*b - 33 - 8 - 42).\nAnswer: 174*b - 4814","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*y - 78 = -41*y. Solve 0 = -y*s - 0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + o = 5, -13*f - 6*f = -5*o + 25. Solve -375 = -2*j + p - 390, f = j - 4*p + 32 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -22*g**3 - 6*g**2 + 9 + 24*g**3 - 2*g - 2*g. Let c = 56 - 46. What is the remainder when w(4) is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3857 and 1645.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 1834\/26541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 3*p + 2*v - 139, p - 4*v - 23 = 0. Suppose -38*i - p = -39*i. What is the remainder when i is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-6))\/i*i)\/(i*(i**(-6)\/i)\/i)*i**(-1\/5)\/(i\/(i\/(i\/i**(-1\/2)))) assuming i is positive.\nAnswer: i**(3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * 75.\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 599*c**2 - 668*c**2 + 444*c**2 + 10*c.\nAnswer: 375*c**2 + 10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - y - 3. Suppose -3*z + 5 = -4. Let s be n(z). Let q be s\/((-3)\/4) - -1. Is -5 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*u**2 - 2*u + 41*u**2 + 30*u**2 - 3630 - 101*u**2 to the form d*u**2 + z + o*u and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4220\/350 - 12)*-7.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*(-6*(sqrt(405)*2 - sqrt(405)) - ((3*(sqrt(5) - (1 + sqrt(5))) - sqrt(5)) + sqrt(5) + (sqrt(80) - sqrt(5))*3)).\nAnswer: -63*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.985 - 0.985. What is the fourth biggest value in 0, k, -2\/27, -2\/31?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 20*x = 21*x, -2*w - 2*x = -0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x**7\/42 + 4*x**6\/15 + 9*x**5\/20 - 13*x**4\/6 - 26*x**3\/3 - 12*x**2 - 4*x - 591. What is c in w(c) = 0?\nAnswer: -6, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46926 and 406461.\nAnswer: 577987542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d + 5. What is t(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d*l**4 + 9*d + 16*l**4 - 2*l + 11 wrt l.\nAnswer: 24*d*l**2 + 192*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (24\/20)\/((-4)\/(-20))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 5627627?\nAnswer: 5627627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j*(j\/j**3)\/j))**(-11\/4)*(j**(-2)\/j)**(-1\/53) assuming j is positive.\nAnswer: j**(-580\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 2*c**2 + 3*c + 1. Let h be b(-3). Factor 1 - 3*u + 1 + h - 3*u**2 + 0*u + 3*u**3.\nAnswer: 3*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46558005?\nAnswer: 3, 5, 13, 238759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -2*1) + 4. Let v = -3 + b. What is the remainder when 15 is divided by 12\/((-3)\/v)*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2604371 - 67755595\/26. Let d = y - -3247\/2. Let j = -187\/65 + d. Calculate the common denominator of j and -44\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 25*s**2 + s + 3. Let w be d(-2). Let k = w + -155. Find the common denominator of -35\/8 and k\/243 - (-643)\/180.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -403858 + 403897. Suppose -2*s + 4*o + 312 = 0, 0 = s + s + 4*o - 312. What is the least common multiple of v and s?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 689701*n**2*r**2 + 173353299*n**2 + 26*r**2 wrt r.\nAnswer: 1379402*n**2*r + 52*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -1 + (14 - 6 - 12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 j when two letters picked without replacement from kkgggjkkjkggkkjj?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 117, 93, 55, -3, -87?\n\"Answer: -p**3 - p**2 - 14*p + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 119 and (3*(-1)\/(-3))\/((15 + -6)\/5202).\nAnswer: 4046","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 4*z = -8, 5*z - 40 = 384*j - 389*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 83604 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: Two letters picked without replacement from {a: 7, r: 3}. What is prob of sequence ar?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccffgtcgt. Give prob of picking 1 f and 3 c.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -108.2917 + 110.265792. Let h = 0.025858 + w. Let r = -2 + h. What is r rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 39 = 3*d, 3*p = 2*d + 35 - 4. Let a = -7 - d. Let c = 32 - a. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 5*m**2 + 5*m + 6. Let y be g(6). Solve y*h + 2*h + 8 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = u - 1707, -5*w + 4257 = 8*u - 9*u. What is the lowest common multiple of 3 and w?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5951?\nAnswer: 11, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 126994 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -10741?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37334*c**2*f**2*k**3 - c**2*f*k**2 + 3*c**2*k + 786*c*f*k - 2*f**2*k**2 wrt k?\nAnswer: 224004*c**2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -720433892, -720433893, -720433894, -720433895?\n\"Answer: -t - 720433891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 85202.\nAnswer: 9\/85202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b + 17. Let h(k) = 3*k**2 - 27*k. Determine l(h(i)).\nAnswer: 3*i**2 - 27*i + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 157*r**2 + 6490*r - 129. What is j(-34)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c**2 - 6*c - 1. Let w(n) = -14*n**2 + 17*n + 3. Give -17*r(j) - 6*w(j).\nAnswer: -j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 4:53 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-3)*(-2 + -1). Let a(u) = -u**3 + u**2 - u + 1. Let h be a(0). Let p = h - y. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230647.\nAnswer: 230647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 662 a factor of 338785961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 53910 divided by 2121?\nAnswer: 17970\/707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 19. Calculate the remainder when 2*11*(-2 + b) is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 5*t = 884 - 865, q + t + 5 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -196, -198, -200, -202?\n\"Answer: -2*t - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 52 (b) -535 (c) 5 (d) -47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 5*k - 15. Solve 2*f = k*f - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 270936*v + 19 - 43*v**4 + 41*v**4 + 2*v**2 - 13*v**3 - 270939*v to the form w*v**2 + u*v + d + x*v**3 + h*v**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -168085*n + 76993*n + 67089*n to p + l*n and give l.\nAnswer: -24003","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99782 is divided by 120.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8 + 4)\/(-4)*5. Suppose 31 = y*i - 39. Suppose 6*k - i = -k. What is the third smallest value in -0.3, 0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61599743?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 - 79. Let o(v) = 6*v**2 + 159. Let q(i) = -5*j(i) - 2*o(i). Let h(x) = 3*x**2. Give q(h(l)).\nAnswer: -18*l**4 + 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28922282 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2.1487 + 25\nAnswer: 27.1487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 190 - i**2 - 190 - 4*i. Let w be o(-4). Suppose 0*m = -2*l - m + 35, w = -l - 2*m + 10. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2904)\/54 - 2\/9. Let h be c\/(-6) - (0 - -1). Calculate the greatest common divisor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j**2 - 3. Let u be z(5). Let f be (-2)\/5 + u\/105. Let i = 0.6 - 5.6. Which is the closest to 1\/3? (a) 0.2 (b) f (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/1 - (-1 + 2). Suppose -54 = 603*k - 612*k. Put k, -4, h in descending order.\nAnswer: k, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/15)\/(57\/705). Let c = a - -2065\/114. Find the common denominator of -55\/3 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252*p - 35*p**3 + 252*p - 315*p**3 + p**2.\nAnswer: -350*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*h*h**(1\/6)*h)\/h))**0 assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.12223 and -4.\nAnswer: 12.48892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a tonne in kilograms?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + (sqrt(99) - (3*sqrt(99)*-1 - sqrt(99))))\/(-6*1*sqrt(9)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 8*i**2 - i + 11. Let v be w(-8). Let p = v + -14. Find the second derivative of 22*k**p + 4*k - 14*k**5 - 15*k**5 wrt k.\nAnswer: -140*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**5\/7 + 67*s**4\/7 - 3*s**3\/7 - 29*s**2 - 134*s\/7 = 0?\nAnswer: -67, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6 take away -2.128?\nAnswer: 4.728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r. Let a(h) = 12 + 13*h + 29*h - 14 + 4*h. What is a(n(b))?\nAnswer: -92*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/(sqrt(35)\/(4*sqrt(5))))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2581 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 h be ((15\/6)\/(15\/(-36)))\/(2\/(-69)). What is the greatest common factor of 171 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 2:59 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 9229*w - 858. What are the prime factors of i(5)?\nAnswer: 11, 23, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, -1, 4, 0.2, 0, -1\/35 in descending order.\nAnswer: 4, 0.2, 0, -1\/35, -0.9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35382 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17 + -825?\nAnswer: -83c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 + -315 + 322 + 5 + (-2 - 0 - -3).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 19*x**2 - 438*x + 21. Let j be f(23). Is -295 greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i - 8. Let w(x) = 15*x - 116. Let z(c) = 5*g(c) + w(c). Determine z(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 5*m**7\/504 + 7*m**6\/180 - 2*m**4 - 2*m. Let z(q) be the third derivative of c(q). Find the second derivative of z(x) wrt x.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/(sqrt(576) - 3*sqrt(576)) - -5*-5*sqrt(11)*-3)**2.\nAnswer: 35600411\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18 and -1?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b - 3. Suppose 5*z + 7 = -4*q, 0*z = 3*z - q - 6. Let u(m) = -m + 1. Determine z*s(d) + 4*u(d).\nAnswer: -3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -141, -5, 2, 216 in descending order.\nAnswer: 216, 5, 2, -1, -5, -141","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -665 + 1448 + 1240*i**2 - 767 + (3 - 4 + 0)*(-1 - 2*i**2 + 1) to the form m*i**2 + b*i + x and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/218144 and 71\/802.\nAnswer: 218144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-176)\/33*(-69)\/4. Calculate the highest common factor of 506 and c.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102451 = -1867*a - 25904 for a.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 36758 + -3?\nAnswer: 36755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009588735 rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p + 1 - 1 + (-2*p + p - 2*p)*(-4 - 3 + 24) + (-3*p + 8 - 8)*(1 - 5 - 2).\nAnswer: -34*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/110 and 83\/2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-129)\/172)\/(15\/(-12))*140\/(-4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 12*j + 23. What is v(6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**5 + 393*k**4 - 334*k**3 - 3636*k**2 + 2682*k + 891 = 0?\nAnswer: -99, -3, -1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100749 is divided by 25030?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.035 + -0.023. Let r be 2\/(-8) - 2398\/872. Put m, r, -1\/3, -0.2 in decreasing order.\nAnswer: m, -0.2, -1\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153316158 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -15879.04855 to the nearest 100.\nAnswer: -15900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence us when two letters picked without replacement from {s: 2, u: 9, e: 1, n: 6}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 142657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -552232\/5, -3, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2288 = 25*n + n. Suppose n + 6202 = 5*f. Calculate the least common multiple of 8 and f.\nAnswer: 5032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 4, -5, -4 in decreasing order.\nAnswer: 16, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*l. Suppose 12*m - 7*m - 180 = l. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 + 6*z + 4. Let c(t) = 5*t**2 + 17*t + 12. Let q(w) = 6*c(w) - 17*d(w). Factor q(h).\nAnswer: -4*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73.38 or 1008?\nAnswer: -73.38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 683920?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 4*y + 3 + 2*y - 2*y + 3*y + (-y - 2 + 2)*(0 + 1 + 0))*(-841*y - 869*y + 2421*y) to j + o*y + t*y**2 and give t.\nAnswer: -1422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/7 + 124648*j\/7 - 1942140488\/7.\nAnswer: -2*(j - 31162)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 164337983 to the power of 1\/2, to the nearest integer?\nAnswer: 12819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -4, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -57*d**2 + 38*d + 157. Let n be a(-5). Let b = n + 1460. What is v in 2*v - 2\/3*v**b + 0 = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 6*n - 6. Let x be r(4). Suppose 2*d = -4*f + 10, 4*f - 15 = -f - x*d. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237099720 a multiple of 451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -738386, -1475984, -2213582, -2951180?\n\"Answer: -737598*i - 788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 + -6)\/(-2 + 1). Let o be (1 - r) + 1\/(-4 - 0). Sort -1\/8, o, 1\/2, 1.\nAnswer: o, -1\/8, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58.87 - -4.17. Let i = 54.8 + z. Sort 0.3, 0.5, -1, i in increasing order.\nAnswer: -1, i, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w + 1. Let t(a) = -19*a + 5. Let m(p) = -11*j(p) + 2*t(p). Let r be m(-2). Let g = r + 20. Which is smaller: -2 or g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 0*s + 28. Let v be 28\/(-21)*(-18)\/s. Let p(u) = -u**3 - 4*u**2 + 6*u + 3. Is p(v) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -131*j - 103*j + 2*j - 123*j + 2*j to h*j + y and give h.\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/6)\/(3 - 1). Let w = -415 + 419. Which is the third smallest value? (a) -0.9 (b) w (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 213*m**4 - 215*m**2 + 3*m wrt m.\nAnswer: 5112*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 32\/(-176)*(-1 - 10). Solve -g*y - 6 + 4 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*f**2 + 120*f**2 - 58*f**2 - 6*f.\nAnswer: 3*f**2 - 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*(-24)\/(-15) - 3. Solve 2*i - 3*i = -g for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 5)*(3 - 3 - 5*s) + (0 - 3 + 2 + (-2 + 0 + 0)*(-3 - 1 + 3) + 3 - 4 + 2 + 4 - 4 + 3)*(-12 + 12 + 2*s).\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y - 4. Let m be w(-5). Sort 0, m, 2 in increasing order.\nAnswer: 0, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -134.4 + 119. Let x = q - -13. Let c = -1.1 + x. What is c rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -3968*d**5\/5 - 6997*d**2\/2 + 1037. Find the second derivative of o(m) wrt m.\nAnswer: -47616*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -455*h**2 + 61*h - 732. What is the derivative of i(y) wrt y?\nAnswer: -910","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -1. Solve -6*a + a - 15 = x for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(4\/(-2) + 3)\/(-1). Let u be (0\/(-5))\/(d\/1). Solve -l - 2*r - 9 = u, r + 3 = 4*l + 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -308*t**3\/3 + 220*t + 55. Let y(m) = -103*m**2 + 73. Let l(c) = -2*w(c) + 7*y(c). Differentiate l(a) with respect to a.\nAnswer: -210*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 293448 divided by -8\nAnswer: -36681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 15) to base 6\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of ((-306)\/(-4) + -2)*-2*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - m + 1. Let u(o) = -2 + o**2 + 68*o**2 + 3*o - 26*o**2. Let x(l) = 2*a(l) + u(l). Let b(f) = -f. What is b(x(v))?\nAnswer: -41*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26538*g**3 - 53042*g**3 + 26519*g**3.\nAnswer: 15*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 237 - 241. What is the closest to -1 in o, -0.3, -2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 0.07314.\nAnswer: -0.14628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2484931 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 101*s**3*t**3 + 2*s**3*t**2 - 6*s**2 + 2*s*t**3 + 5101*s*t**2 - 2*t**3 wrt s.\nAnswer: 606*s*t**3 + 12*s*t**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)*6 - sqrt(12)\/sqrt(2)*2)\/(1*sqrt(200)).\nAnswer: 11*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -2\/3*p**3 + 14*p - 1\/90*p**6 - 2\/3*p**2 + 0 - 1\/10*p**5 - 13\/36*p**4. Find x, given that f(x) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -x**5\/540 - 47*x**4\/216 - 86*x**3\/27 + 3524*x**2 - 2. Determine h so that b(h) = 0.\nAnswer: -43, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 440473 divided by 40043.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 f when two letters picked without replacement from {l: 3, a: 1, s: 2, f: 2, h: 9, j: 1}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 107429 and 477694.\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 0 - 6. Let l = q - -1. Calculate the highest common divisor of 7 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4 - 8*w + w + 10*w + 2 - 5*w - w. Suppose 3*j - 20 = -5*k + 4*k, 0 = -k + 3*j - 4. Give r(k).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27025*o = -27023*o - 8, 3*f + 11*o - 95 = 0 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2518749281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g + 3*g**2 + 18 - 4 + 2*g - 10 to h*g + b*g**2 + s and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -s**4 - 2*s**2*x - 87*s*x - 135*x wrt s.\nAnswer: -4*s**3 - 4*s*x - 87*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 7:49 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -290*m - 4. Let w be g(2). Let d = 614 + w. Calculate the highest common divisor of 15 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 146 (b) 0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 4, 69, -7, -3, -5 in decreasing order.\nAnswer: 69, 10, 4, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 11975*o = -5978*o - 5978*o + 158, u = -3*o - 16 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.028, 30, -5, -82, 0.2.\nAnswer: -82, -5, -0.028, 0.2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10447404 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: Collect the terms in -2314*k**2 - 45*k**3 + 2314*k**2.\nAnswer: -45*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*r = -80, -2*a - 3*r = 2*a - 63. Suppose 3*i - 45 - a = 0. Suppose -85 = -13*v + 175. Calculate the smallest common multiple of i and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 726668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -95 - -99. Solve 0 = -y + m, -2*y = -4*y - n*m - 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -1. Let u = 76 + -73. Let w be (-3)\/(-1 + 4) + 1. What is the second smallest value in u, w, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 11, b: 2}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -308, 2, -1, -8, -4 in decreasing order.\nAnswer: 2, -1, -4, -6, -8, -308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 19*h + 35. Solve -4*o = -w + 3, -4*o - 5*w - h = 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 11*z = -3*n + 86, n = 5*z + 2. Calculate the remainder when 65 is divided by n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 38 + 92. Let m = p - 18. Let i(b) = 2*b**2 - b - 1. Let r be i(-1). What is the greatest common divisor of m and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 65*b + 215. Let m be d(62). Solve -20 = m*a - 24*a, 2*a = 5*q - 23 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 5*g**2 + 8*g - 4. Let y be h(3). Suppose -369 = -q - y*q. Let b(v) = 0*v + q - 144 - v. Let o(p) = 2*p. Determine b(o(w)).\nAnswer: -2*w - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.6, -8, -0.5, -0.1, -0.4, 20.53, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40182554*v**2 + 311*v + 5615.\nAnswer: 80365108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5919*u = -5871*u + 672 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of 11*z**9\/56 + z**5\/60 - z**4\/4 - 113*z**2. What is the third derivative of j(l) wrt l?\nAnswer: 11880*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70738 and 5453086?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-148)\/(-10))\/((275\/125)\/((-803)\/73))\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -735, -31, 3, 4 in increasing order.\nAnswer: -735, -31, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -5, -14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31354 divided by 364.\nAnswer: 15677\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 93 - 89. Calculate the lowest common multiple of c and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o - 7*o + 15*o + (-5 + 4 - 1)*(1 - 1 + 2*o) - 2*o + 3 - 3 - o + o - 2*o - 3 + 2*o + 3 to x + d*o and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ipw when three letters picked without replacement from iwvwiwfivpwvvpzvpp?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 - 61.5. What is the biggest value in 2\/21, d, -2\/5, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 64 - 442 = 0. Suppose -s - r = r - 183, 5*r = -s + n. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 159, 13?\nAnswer: 159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49448 and 195916?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3)\/(r**0\/r))\/(r\/(r\/r**3*r*r*r)*r*r**(-4)))\/((r**(-11)*r)\/((r\/(r\/r**(-1\/3)*r))\/r))**(-4\/3) assuming r is positive.\nAnswer: r**(-83\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 6:24 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 689 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - o = 1274, -a - 4*o = -3 - 616. Suppose 5*w + 4*z - a = 0, -3*w - z + 381 = -5*z. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, g: 6, b: 4, z: 1, v: 2}. What is prob of picking 1 z, 1 g, and 1 v?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -207 + -70?\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 366115 and 188005?\nAnswer: 6956185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1215730200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -23*n**2 + 8*n - 3. Let i(a) = -62*a**2 + 32*a + 11. Let o(f) = 21*f**2 - 11*f - 4. Let r(j) = 6*i(j) + 17*o(j). Calculate 5*d(m) - 8*r(m).\nAnswer: 5*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c + 2*c**3 - 2*c + (0*c + 0*c - 3*c)*(-2*c + 2*c + c**2) - 2*c**3 + 4 - 4 + (c**3 + 5*c**3 - c**3)*(0 - 6 - 11).\nAnswer: -88*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 16*c**3 - 7*c**2 + 3*c - 4. Is 15 a factor of u(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-21)\/28 - (2 - 2). Sort 11, j, 0.1 in decreasing order.\nAnswer: 11, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkb when three letters picked without replacement from {i: 1, k: 2, j: 1, l: 2, p: 5, b: 2}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55 and 305047.\nAnswer: 16777585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*f + 30*f + 5*f**2 + (-3*f + 2*f + 3*f)*(f - 3 + 3) + (8 + 2*f - 8)*(-49*f - 22*f - 26*f) as m + r*f**2 + k*f and give r.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -0.5, -1\/3, 156\/11, 3, -1 in increasing order.\nAnswer: -9, -1, -0.5, -1\/3, 3, 156\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 124 - 253\/2. Let s = 73.8 + -77.8. Which is the third smallest value? (a) x (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(-2\/9))\/((l\/l**3)\/l))\/(l**(1\/5)\/(l*l*l**(-3\/2)))*((l**3)**(2\/83))**(-20) assuming l is positive.\nAnswer: l**(27131\/7470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 + 166\/5. Let t be (-6)\/(-2*(1 - 0)). Let p = -7 + 3. Which is the biggest value? (a) g (b) p (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 657687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -3655696?\nAnswer: 731139.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + m**2 - 2*m + 2. Suppose 0 = 4*v - 20, 0*u + 20 = -u + 4*v. Suppose 8*l - 12*l + 8 = u. What is p(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x + 0*x - x + (1 + 3 - 6)*(23 - 60*x + 58*x + 36) in the form m*x + u and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 79517419 to the power of 1\/2, to the nearest integer?\nAnswer: 8917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 1. Let w(y) = 33837*y - 7. Let o(m) = -3*k(m) - w(m). Let t be o(6). What is t rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**2 - 23*i - 17. Suppose 2*p + 7 = 15. Let c(k) = k + k**2 - p - 2 - 9*k - 2*k**2. Let q = 55 - 38. Give q*c(d) - 6*j(d).\nAnswer: d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = s + 5. Put s, 3, -3, -1 in decreasing order.\nAnswer: 3, s, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11100100101111 (base 2) to base 13\nAnswer: 6881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 - 16 + 26 - 2*r**2 - 5*r - 2*r**2.\nAnswer: -5*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 237513\/31 - 7661. Calculate the common denominator of (-17)\/(-5)*((-2277)\/184 + 13) and s.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42*-359\nAnswer: -15078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**3 + 6*r**2 + 53*r + 17. Let s(l) = l**3 + 2*l**2 + 18*l + 6. Calculate 6*n(o) - 17*s(o).\nAnswer: o**3 + 2*o**2 + 12*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2122, 2106, 2090?\n\"Answer: -16*t + 2138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mjtttmgmgjmgtj. What is prob of sequence mmj?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1299 divided by -474.\nAnswer: -433\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**5\/3 + 17365*a**4\/3 + 5022825*a**3 - 5028615*a**2 = 0.\nAnswer: -1737, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 9:02 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 42?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7917, -31660, -71231, -126630, -197857, -284912, -387795?\n\"Answer: -7914*d**2 - d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -9. Suppose -h*d + 50 = -25. What is the highest common divisor of 105 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -52139\nAnswer: -156417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 - t**2 + 5*t**2 + (-3*t + 5*t + 0*t)*(-2 - 2*t + 2) - 5*t**2 + 2*t**2 + 4*t**2 - 1 + 1 - 7*t**2 + 89*t**2 - 77*t**2 + 36*t**2.\nAnswer: 40*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvrv when four letters picked without replacement from hvhqrrhvrrhhvhv.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/5 (b) 1\/6 (c) -1\/7 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1886*p + 1884*p + 58 = 8*o, 0 = -5*o + 30 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 501232385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -174 - -169. Which is the biggest value? (a) -0.1 (b) z (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 5:41 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -86286 (base 10) to base 15.\nAnswer: -1a876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fc when two letters picked without replacement from {u: 6, c: 1, j: 1, f: 6, q: 3, d: 1}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 128.987 decades?\nAnswer: 15478.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-2 - 9)) + -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 27 + 13. Suppose 5*m - 347 = y, 0 = 4*m - y + 5*y - 268. Let q = -59 + m. What is the least common multiple of b and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-69))\/(10\/1194). Let m = n + -26\/23. Let s be 1*((-2)\/9)\/1. Which is the third smallest value? (a) s (b) m (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-2)*(-20)\/15. Let c(i) = -i**2 + 2*i**t - 3*i + 4*i + 0*i**2. Let j(p) = 3*p**2 + p. Determine 2*c(q) - 2*j(q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 40*v**3 + 11*v**2 + 12*v - 8. Let g(c) = 39*c**3 + 9*c**2 + 10*c - 7. Give 6*g(r) - 5*w(r).\nAnswer: 34*r**3 - r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((29640\/(-80))\/19)\/(3\/(-2)*(-7)\/(-21)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -160118, -160657, -161196, -161735?\n\"Answer: -539*w - 159579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -14\/169?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9448 and 710?\nAnswer: -6708080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mimvmiiiimmwvimcim. What is prob of picking 3 m?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(80))**2 - sqrt(30)\/(sqrt(30)\/sqrt(5)).\nAnswer: 7*sqrt(5) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**4 + 11*n**2 + 2*n - 34*n**2 + 15*n**2 + 15*n**4 + 0*n**4 + 33*n**4 + (n**2 - 3*n**2 + n**2)*(-n**2 - 3 + 3).\nAnswer: 52*n**4 - 8*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -271666701*u**5 - u**3 + 242484415*u**2.\nAnswer: -16300002060*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2788.\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 176341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-2))\/(4*7\/(-7))*1072\/(-67)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 7:58 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w - 1. Suppose -l - 3*l - 32 = 0. Let z be ((-12)\/16)\/((-1)\/l). Let t(y) = -y**2 - 5*y + 3. Let u be t(z). What is h(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3425 - -2.06.\nAnswer: -3422.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61078.\nAnswer: 2, 30539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119579402.\nAnswer: 2, 73, 819037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3598*-29.08.\nAnswer: -104629.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2179 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(0 - -3) - -5. Let m(c) = 2*c + 1. Let h be m(-1). Let w = 0 - h. What is the biggest value in 0, w, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1573341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3421515157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2196061 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 82776275 to the power of 1\/4, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbubuuubb. Give prob of picking 2 b and 1 u.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 6*l**2 + 17*l - 18. Let q be w(-5). Suppose -1110 - q = -13*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 30*d**2 + 7*d - 552. Does 5 divide b(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 326?\nAnswer: -13\/326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -1212455*t. Let k(i) = -7*i. Determine u(k(l)).\nAnswer: 8487185*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130 (base 9) to base 4.\nAnswer: -1230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89\/62 - 2\/31. Let h(a) = -2*a - 3. Let i be h(-4). What is the third biggest value in q, i, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 674773836?\nAnswer: 2, 3, 11, 5111923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -23465 (base 10) to base 16\nAnswer: -5ba9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, n: 1, i: 2, z: 1, m: 2}. Give prob of sequence gzmg.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42502427 by 7.\nAnswer: 42502427\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*q + 5. Let o be 4\/2*(-10)\/q. What is the closest to 0 in 1\/7, 0.5, o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 871591440 divided by 217897860\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m - 3. Let j be d(-8). Suppose -2*f + j = 5. What is the lowest common multiple of f and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.21 and -27854.\nAnswer: -27854.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-345)\/870)\/(-23)?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 132 = h - 57, h + 3*q = 209. Let d = h - 1377\/7. Which is bigger: -1\/2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -38665, -38662, -38661, -38662, -38665, -38670, -38677?\n\"Answer: -x**2 + 6*x - 38670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(33))\/sqrt(3) + 0)**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 346 and 519.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r**3 - 76*r**2 - 25*r + 3. Let i be c(-25). Solve 10 = p + 2*b + 4, 9 = i*p - 3*b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 354 - 1906*r - 690 + 336 to t + w*r and give w.\nAnswer: -1906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 932835475 a multiple of 425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -403039.1 rounded to the nearest one thousand?\nAnswer: -403000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b**2. Let j be 2\/4 + (-1)\/2. Let c(u) = u**3 + u**2 + 3. Let o be c(j). Let t(s) = 2*s - o*s - s. What is t(r(n))?\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014061964 to six decimal places.\nAnswer: 0.001406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -6.1173.\nAnswer: -6.1173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30416*h = -30367*h + 1029 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1121102 (base 5) to base 12\nAnswer: -b7b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 840 = 17*s. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7609, -15442, -23493, -31762, -40249, -48954?\n\"Answer: -109*q**2 - 7506*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/86 and 87\/520.\nAnswer: 22360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/3)\/((-4)\/(-6)). Suppose -s + 2*s - 3*k + 3 = 0, j*s + 3*k = 12. Which is the nearest to 0? (a) -1\/4 (b) -1\/6 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184433.3ml in litres?\nAnswer: 184.4333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*((-3)\/9*16 + 4). Suppose g*x = 5726 + 43242. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2*t + 4 = -12, -k + 11 = 3*t. Let q = -40 + 60. Let z be 465\/q - k\/8. Solve 3*s + 5*o + z = 0, -s + 0*o + 2*o + 7 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d + 0*d**2 - 7 + 2\/3*d**3. Differentiate c(s) wrt s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000747463714 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 3. Suppose 0 = -h - t*s + 5, -6*h - 4*s = -2*h - 68. What is the highest common factor of 84 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-115 - -3) + 105 + (1 + -4 - -18).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 5*p**3 - 4335*p**2 + 359775*p - 7867125 = 0?\nAnswer: 45, 777","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12554053519\/3473608 + 3\/1736804. Let q = -3606 - a. What is the common denominator of q and -49\/65?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 + 4*w + 1. Is x(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/1192 and -29\/447?\nAnswer: 3576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w - 3 - 21. Which is the nearest to 1? (a) -2 (b) w (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - j - 2*j - 3, 4*h - j + 4 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2108 + -0.0008. What is the nearest to -1\/2 in 0.4, -0.5, -4, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-6*1*sqrt(1088) - (sqrt(1088) + 1)*2 - (-1*sqrt(1088)*5 + -5)))**2 + 3.\nAnswer: 9795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37143\/2380 + -435\/28. Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 575 and 667?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -0.97, -2, -3, 4, 2\/9 in ascending order.\nAnswer: -3, -2, -0.97, -1\/2, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12581283?\nAnswer: 3, 11, 13, 29327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61 - -33. Let n = 120 + k. Does 23 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -59716 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 52749222?\nAnswer: 52749221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9 + 2)*-1*1. Let h = o - -63. Suppose -5*j + 3*d + h = 0, -5*d - 92 = -4*j - 36. Calculate the lowest common multiple of j and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -543454, -543388, -543322, -543256, -543190?\n\"Answer: 66*j - 543520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*(sqrt(15)\/sqrt(3) - sqrt(5)) + sqrt(55)\/sqrt(396) - ((sqrt(5) + 2)*-2 - -3*sqrt(720))) + 0)*-3)**2.\nAnswer: -2436*sqrt(5) + 206621\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -158*k + 4 - 7*k**2 - 5 - 118*k - 647*k**2 + 216*k wrt k.\nAnswer: -1308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 858\/1559647 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66502783820.000000374 - -66502783915. Let x = a - 95. What is x rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.490137886 to 3 decimal places.\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1385, -1432, -1487, -1550?\nAnswer: -1621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(684) + -1 + (sqrt(684) - (sqrt(684) + 0 + 3)))*4 - (5 + 3*sqrt(1216) - (sqrt(1216) + 0 + 3 + sqrt(1216))))**2.\nAnswer: -576*sqrt(19) + 5188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 3, 7537 = 3*n + k + 3764 + 3757 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-21)\/12 - -2)*(-32)\/44. What is the nearest to -1 in y, -2, -2\/23?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phsq when four letters picked without replacement from sgqsphhiipqq?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-15))\/(1\/290). Let p(w) = -w**3 + 14*w**2 - 6*w + 7. Let a be p(9). Let o = a - f. Calculate the highest common factor of o and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21024012 to the nearest integer?\nAnswer: 4585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**4*p*u + d**4 - 140*d**3*p**2 - 22*d**2*p*u + 3*d*p**2 - 2*d*u wrt d.\nAnswer: 48*d*p*u + 24*d - 840*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**5 + q**5 - 2*q**5 + (4*q**3 + 2*q**3 - 4*q**3)*(-486 + 4*q**2 + 486) + 8*q - 7*q - 3*q + 5*q**5 - 1 + 2*q**5 + 1.\nAnswer: 16*q**5 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 44*h + 64. Let k(w) = -23*w - 32. Let g(b) = -3*c(b) - 7*k(b). Differentiate g(s) with respect to s.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four sevenths of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**12*c**(4\/5) assuming c is positive.\nAnswer: c**(64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 233676 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ieee when four letters picked without replacement from eeeeeeeeeiiiieieeeee.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1142 - -10?\nAnswer: -1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 265\/178 - -1\/89. Let l = r + -49\/30. Which is the second biggest value? (a) 0.2 (b) l (c) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k + 594. What is the hundreds digit of c(49)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 438*q + 60*q = 52*q + 15*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -5\/2*d**2 - 9*d + 1\/3*d**3 + 2. Let t(f) = 2*f**2 - 8*f - 14. Let n(b) = 5*t(b) - 8*y(b). Differentiate n(g) wrt g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 228 - 228. Let o be -6*3\/(-7) + (0 - i). Factor -o*l + 3\/7*l**2 + 27\/7.\nAnswer: 3*(l - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4069*d - 11840 - 24448 = 3733*d for d.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 403 + -160. Let l = x + -233. Solve l - 7 = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 14. Sort -0.1, w, 5.\nAnswer: w, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.17 + -0.03. Let q = v - 0.2. Let j be 18\/22 + -4 + 3. Which is the nearest to -0.5? (a) q (b) j (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 26*l**3 + 2988*l**2 + 66070*l - 5100 = 0.\nAnswer: -85, -30, 1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7248 * 4177\nAnswer: -30274896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*v**4 + 103951*v**3 - 54*v + 221315002 with respect to v.\nAnswer: 8*v**3 + 311853*v**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 16*c**2 - 16*c + 24. Let n be z(15). Let s be n\/4*80\/6. Solve 5*v + r - s = 0, 2*r = v - 2*v + 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9920 is divided by 50.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 3772170.485 to the nearest 100.\nAnswer: 3772200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15\/23 - -841\/1219. Is 1 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 106 in 0, 60, -2\/13, 12\/11?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 - 422 = 53*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2107623 is divided by 7661.\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -36\/11 in -4, -440.7, -0.3, 4\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3513, -0.29, -0.2?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.911 - 0.089. Let m = -244 + 244. Which is the closest to m? (a) s (b) 2\/45 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v = 40*v - 189 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 + -12*10\/90.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*z - 2. Solve 0 = 2*n + 4*q - 28, 0 = -4*n + q + z*q + 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 0*y - 1 + y**2 - y**3 - 4*y + 5*y. Suppose -d = -25 + 24, 5*g - 9 = -4*d. Let v(m) = -m**3 + 3*m**2 + 3*m - 3. Calculate g*v(x) - 3*j(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2183\/25 - 2178\/25. Let t = -0.29 - -0.3. Sort t, -2\/7, l in ascending order.\nAnswer: -2\/7, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224*a + 228*a - 5700 = 0. Is 57 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 341896643381 + -485493191560877\/1420. Let l = x - 118425\/4. Let m = 6\/71 - l. Which is smaller: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 + 30 = -3*l. Suppose -55 - l = -4*b. What is the remainder when 64 is divided by b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1378, -2765, -4154, -5545, -6938, -8333?\nAnswer: -9730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k**3 - 3*k**2 - k + 1. Let y be t(1). Suppose -5*s + y*f + 0*f = 0, -4*f = -20. Solve 2*n + m = 4 + 5, -s*n + 4*m + 4 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-154 + 154 - 29*d)*(-3 + 3 + 3) + 4*d + 11*d - 21*d.\nAnswer: -93*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-14)*(-21)\/(-2). What is the smallest value in -3, m, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.09 - -0.09. Let o = -5 - u. Let s = -25 + 24.6. What is the smallest value in s, -19, o?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 121515 and 47715?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 21 = -0*g. Suppose 2*w - g*w + 115 = 0. Suppose 0 = -k - 3*y + 5, k + 2*k + 5*y - w = 0. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 7*k - 3*k. Suppose -3*o = -7*o + k. Suppose o*b = 2*p - b - 5, -1 = -p + b. Solve p = 5*f - q - 28, q + 14 = f - 2*q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*g - 1879 = -128*g - 3*h, 4*g - 1499 = -h. What is the highest common divisor of 68 and g?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/9*2\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.017443 and -89047.73?\nAnswer: 89047.712557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -29, 5, 33, 2\/5, 6\/7, 70 in decreasing order.\nAnswer: 70, 33, 5, 6\/7, 2\/5, -1, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -70*215.7\nAnswer: -15099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -553*y + 553*y - 6*y**4 - 4*y**3 + (0*y - 3*y + 5*y)*(0*y**3 + 2*y**3 - 4*y**3) as n + c*y**4 + q*y**2 + z*y + m*y**3 and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -28.3541 and -5?\nAnswer: 23.3541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 729, 728, 727?\nAnswer: 726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*s - 1 + 15, 4*a = 3*s. Let i = -1 + a. What is the second derivative of 2*w**2 + 0*w**i - 2*w**2 - 2*w + 2*w**4 wrt w?\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -155.61 - -156. Let d = -0.565 + -0.005. Let q = d + w. Which is the third biggest value? (a) -4 (b) q (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8069645.974021 - -0.2.\nAnswer: -8069645.774021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 146852857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**3 - 2*x**2 + x - 1. Let t be s(2). Let v = 20 - t. Calculate the remainder when ((-26)\/(-13))\/((-2)\/((-20)\/1)) is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/22, -0.075, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 43655, 50643, 57631, 64619, 71607?\n\"Answer: 6988*i + 36667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27484328?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -103, 4, -1.\nAnswer: -103, -1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - 3. Let x(u) = 1378*u + 429. What is 858*k(b) + 6*x(b)?\nAnswer: 7410*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 406.92 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 653 + -3263\/5. Which is the closest to 0? (a) 1\/7 (b) n (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(147) - (-2 + sqrt(147))*-2) + sqrt(147) + 3*2*sqrt(147))**2.\nAnswer: 140*sqrt(3) + 14701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 3*d**2 - 4*d + 3. Let z be n(-4). Let t be (3\/z + 0)*13. Let s be (-3)\/2 + t\/2. What is the highest common divisor of s and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 11591677.\nAnswer: -5795838.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13, -29, -61, -77, -71?\n\"Answer: l**3 - l**2 - 46*l + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 85, 294, 641, 1126?\n\"Answer: 69*w**2 + 2*w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2611914?\nAnswer: 2, 3, 17, 29, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -11 - -12 - (0 + -1). Let i(t) = t - 2*t + w - 2. Let c(u) be the first derivative of 3*u**2\/2 - 2. What is c(i(z))?\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 96 + 160 = -3*q + 4*n, q - 559 = -37*n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3*a + 3 = 0, 4*b = -2*a - 21 - 11. Let h(z) = -7*z - 2. Let w(v) = -6*v - 2. Determine b*w(n) + 4*h(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33095888*d*o**3 + 2*o**3 + 9705585 wrt d.\nAnswer: 33095888*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -122016.\nAnswer: 122016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95566 = 3*i + 3*h + 25510, -5*i + h = -116730. Is 85 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - h - 2*p - 95 = 0, 3*h + 3*p - 90 = 0. Which is smaller: 30 or h?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009642022 rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c + 5 + 7 - 8 - 14. Let n = 1 - -2. Let p be o(n). Let l(b) = -4*b**2 + 3*b - 1. Give l(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 3*z + 3, 2*d - 4*d = 4*z - 6. Suppose z*u + 5*o = 18, -u + o = 4*o - 6. Let q = -3 - -3. Solve -3*g = -q + u for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -31*q**7\/210 + q**4\/24 + 31*q**3\/2 + 408*q**2. Differentiate n(l) wrt l.\nAnswer: -124*l**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1726679\/30 + -57562. What is the common denominator of q and 2\/120*(-628)\/8?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65.93529 - -0.04471. Let k = p + -66. Which is the smallest value? (a) k (b) 4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 18*k - 65. Let z be s(21). Sort 12, z, -2\/15.\nAnswer: z, -2\/15, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/8)\/(7\/(-140)). Suppose -z*n = 0, -8*s + 6*s - 2*n = -8. Calculate the remainder when 86\/3*-5*(-12)\/40 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-50) - 1026\/(-60). Suppose 5*a + v - 19 = 0, -4*a - s = -8*a + v. Sort -4, 8, a in decreasing order.\nAnswer: 8, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 70650, 282580, 635794, 1130292, 1766074, 2543140?\n\"Answer: 70642*j**2 + 4*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -361\/2 - -195. Let j = -15 + z. Are j and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l**2 + l**3 - l**2)*(114*l - 8999 + 8999) to x + q*l**4 + k*l**2 + s*l**3 + h*l and give q.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/21)\/((-3)\/7). Is 1\/3 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = 8*d - 7 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/sqrt(275) + 1)*5.\nAnswer: sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.3 - -7. Suppose -48*r + 7 = -5*p - 47*r, 4 = 4*p - 4*r. What is the closest to 0.4 in n, -2\/7, p?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {x: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 605926000 rounded to the nearest one million?\nAnswer: 606000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99 and 7539554?\nAnswer: 67855986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -378.55 - 2.45. Let j = 414 + p. Sort -3, 4, j, 2\/9 in descending order.\nAnswer: j, 4, 2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-3*(sqrt(684) + 3 + (1 + sqrt(684) - sqrt(684)) + 0 + sqrt(684) + 0)**2*6 + 1.\nAnswer: -49535 - 1728*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*x - 3*x + x)*(-3 + 0 - 3) + 0*x + 0*x - 2*x)*(0 + 2 + 0 + x) to o*x + z + l*x**2 and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -85*l + 20839. Determine m(245).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 (base 9) in base 13?\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130063, -130072, -130091, -130126, -130183?\nAnswer: -130268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/(-4)*(-2)\/54 + 31379\/(-62758)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -39105, -38978, -38851, -38724, -38597?\n\"Answer: 127*o - 39232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -360022*z**2 - 128*z**3 + 360022*z**2.\nAnswer: -128*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 21*f + 102*f = -s + 173 + 161, 2*f - 30 = -2*s - 3*f for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4 - 19*n**2 - 4. Let l(b) = -2*b**2 - 2*b - 1. Let p(f) = -13*f**2 - 12*f - 6. Let t(a) = -6*l(a) + p(a). Give t(v(r)).\nAnswer: -361*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**35\/i**15 assuming i is positive.\nAnswer: i**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -452*y = -446*y. Solve -11*i + 742 - 819 = y for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2045155255 - -4?\nAnswer: -2045155251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*r - r, 4*b = -3*r - 73. Let a(f) be the second derivative of -f**5\/20 - 4*f**4\/3 - 5*f**3\/6 - 5*f**2 + 5*f. What are the prime factors of a(b)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -1247.\nAnswer: 3741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvjljjlfqllvjqllvvjj. What is prob of sequence vq?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 6:08 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + -1.9. Let t = 73328 - 73323. What is the nearest to 0 in f, -4\/5, t?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2945568)\/(-88528) + 99\/(-3)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 7. Suppose 0 = -o - d*y + 394, 2*o - 1150 = -o - y. Let p = o - 6492\/17. What is the smallest value in p, 1\/3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41042 to the power of 1\/2, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376042906.\nAnswer: 2, 103, 1825451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*k**5*w - 950679*k**3*w - 2*k - 258*w - 2397 wrt k?\nAnswer: 120*k**3*w - 5704074*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 3*z. Let o be m(6). Let b(n) = -n**2 + 17*n + 18. Let j be b(o). Let v(l) = l - 10. Let c be v(6). Put -0.4, c, j in descending order.\nAnswer: j, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 285*m**5*p + 334845*m**3*p**2 - 2*m**2*p**2 - 14768*m**2*p - 5*m - 445*p wrt m.\nAnswer: 17100*m**2*p + 2009070*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*z + 35*z - z**3 - 124*z - 7*z**3 + 39*z - 2 - z**4 in the form k*z**3 + f*z**4 + g*z**2 + j*z + b and give j.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -5*t + 45, -j + 1 = -t - 0. Suppose 0 = -3*i - 3*b - 18, 5*i + 9 = -2*b + t*b. Let r = -2 - -3. Sort i, 2, r in increasing order.\nAnswer: i, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millisecond in microseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66)\/(-22))\/(114\/(-4)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -300 - -479. List the prime factors of u.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120121000022021 (base 3) in base 9?\nAnswer: 16530267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**3 - 2*b**2 + 3*b + 6. Let x(q) = 4*q**3 - 2*q**2 + 4*q + 6. Give -3*d(p) + 2*x(p).\nAnswer: -p**3 + 2*p**2 - p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110111 - 10001100001110?\nAnswer: -10001010010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5278, -142, 0 in descending order.\nAnswer: 0, -142, -5278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 5*g**2 - g - 15. Let n be q(-6). Suppose -19*w + n = -87. Solve 0 = -k + 3*k + w for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1289, -5388, -12283, -21980, -34485?\n\"Answer: -z**3 - 1392*z**2 + 84*z + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -3*v**5\/160 - 25*v**4\/16 - 187*v**3\/16 - 207*v**2\/8 - 2399*v. Find m, given that c(m) = 0.\nAnswer: -46, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1843 - -1862. Suppose -5*n + 20 = 0, -q - 327 = -2*q - 2*n. What is the remainder when q is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/5 (b) -9\/2 (c) -9 (d) 493 (e) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30301*y**3 - 23013*y**2.\nAnswer: 181806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 85781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0 + 7. Let p(o) = -o**3 + 7*o**2 + 2. Let g be p(n). Suppose g*q = -2314961 - 285039. What is q rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*l + 5 - 25, 0 = 8*t + 4*l - 20. What is the nearest to t in -0.39, 0.2, 0.4, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.1077230519 to 3 decimal places.\nAnswer: -0.108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) 4\/9 (c) -8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 214732*p**6 - 205292*p**2 wrt p?\nAnswer: 25767840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-25)\/5*2\/(-25). Put 9, h, -0.3 in ascending order.\nAnswer: -0.3, h, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5540665*q**5 - 5*q**2 + 500062*q wrt q?\nAnswer: -332439900*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2. Let r be (-4)\/(-5)*23 - 366\/915. Let j(z) = -38 + 6 + r - 40*z**2 + 14. What is j(l(y))?\nAnswer: -160*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-32)\/4)*2\/(-10)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2)*3*6. Suppose 3*r = 5*s + 4*r - 66, 26 = 3*s + 4*r. Suppose -445 = -s*u + j*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {n: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gffr when four letters picked without replacement from zzffgzrz.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b - 10 - 9 + 2*b - 5*b.\nAnswer: -5*b - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - k + 4*k = 30530, -5*c + 76287 = -2*k. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(-2*y + 0*y - 2*y)*(2 + 2*y**2 + 4 - y - 5).\nAnswer: -16*y**3 + 8*y**2 - 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0795004 rounded to 3 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 3992 - (73 + -70) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 - 9?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 673 is divided by 46.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 246612704 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 123 and 246?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -33 - (24 - (17 - (17 - 27)))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002077006 rounded to 6 decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(3 + -2*sqrt(605))*5)**2 + ((sqrt(605) + -1)*3 - (sqrt(605) + -2 + sqrt(605) - sqrt(605))*4))*-2.\nAnswer: -1093060 + 59422*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 25.\nAnswer: -9\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12198\/(-57)*((-6)\/4)\/(171\/57).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -825013?\nAnswer: 825013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*u = -35798 + 35246 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001723 to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z + 27. Let g be a(0). Suppose 30 = 2*t - 4*q, -7*q + 2*q - g = -t. Let f(i) = t*i - 5*i + i. Let x(h) = -3*h**2. Calculate x(f(u)).\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, y: 10, b: 1, p: 1}. Give prob of sequence nyp.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10080.8 times -2096?\nAnswer: 21129356.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - 45\/189*77 - -2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2.4*1117\nAnswer: -2680.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284 + 91 = -4*s + d, -72*d - 80 = s - 75*d for s.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -3, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 10*u**2 + 1\/15*u**5 + 2*u**3 + 0 + 0*u - 2\/3*u**4. Factor b(l).\nAnswer: 4*(l - 3)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64344531 to the power of 1\/2, to the nearest integer?\nAnswer: 8022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5445.9 - -5139. Round h to the nearest 10.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 44 (b) -21 (c) 2\/11 (d) 2\/5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 69*n = 67*n, -5*v - 3*n + 21 = 0. Solve 3*z + v + 6 = 0, 0 = 2*u + 3*z + 14 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 9*q + 5. Let p be i(9). Suppose -2*u = -7*u - 7*u. Suppose u = 25*d - 31*d. Solve d = p*j - 1 - 14 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605.2944l in millilitres?\nAnswer: 605294.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**5\/20 - k**4\/2 + 7*k**3\/6 + 5*k**2\/2 + 3*k. Let u be c(-7). Suppose -u*m + 160 = -3*m. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 94*b. Let z(j) be the first derivative of -j**2\/2 + 1493. What is z(a(p))?\nAnswer: -p**2 + 94*p","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1070 = 5*k + 4*o, -47 = 4*k + 3*o - 903. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*m = -87*m + 14. Let n(o) = -m*o**2 + 8*o + o**3 - 53 + 20 + 24. What is n(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -102, -202, -302?\n\"Answer: -100*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38692 is divided by 210?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 132 + 10835950?\nAnswer: 10836082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -7*q + 10. Let u be z(0). Let f(w) = 2*w - 18. Let t be f(u). Solve 0*n + 10 = -t*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -0.072.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - y**2 - 3*y - 1. Let w be i(-3). Let t be (0 - -2)*(-2)\/(w\/21). Suppose -27 = -2*r + 9. Solve 5*u - g + 2*g = r, 6 = -t*u + 5*g for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -91 - -13. Find the common denominator of 149\/30 and ((-2)\/(-5))\/(23\/((-6785)\/y)).\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.96 + -0.04. Let t = 132689 - 5175164\/39. Let c = 23\/3 + t. What is the third smallest value in w, c, -5, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a micrometer in nanometers?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 26 = -51. Let d(v) = -2*v - 1 + 2 + 0 + r*v - v**3. Let b be d(-2). Solve 5*l = c + 15, l = -10*c + 5*c + b for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from nnnnrnnnrnr?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + -30 + 2 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 8*p - 1. Let w be b(-7). Let m be 6\/((0 + 4\/1)\/2). Let j(k) = 2*k + 8*k - 7*k**2 - 4*k + 1 - 2 + k**m. Calculate j(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a kilometer in meters?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16126493 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11002 - 20?\nAnswer: 10212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 290*t - 12828. Give o(39).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 1250274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and -121045.\nAnswer: -1210.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -10393*q - 20519. Give r(-2).\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3525868 to the nearest integer?\nAnswer: 1878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 96\/80*(2 - (-128)\/6). Let p be (8\/6)\/(b\/63). Find t, given that -22 - 2*t**2 + p*t**2 - 3*t**2 + 6 + 18*t = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + s**2 + 3*s + 93. Let d(q) = -4*q**3 - 2*q**2 - 8*q - 277. What is 8*a(j) + 3*d(j)?\nAnswer: -4*j**3 + 2*j**2 - 87","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*b**2 - 2*b + 0*b - 55*b**2 + 4*b**3 + 8*b**2.\nAnswer: 4*b**3 - 65*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (105\/(-42))\/((-10)\/4)*0. Factor -23*y + 54 - 5*y + d*y + 5*y**2 - 77*y + 46.\nAnswer: 5*(y - 20)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -12 + 46 + -17\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6*r. Suppose a = 6*a + 75. Let h = a + 17. Let q(s) = -2 - 13*s + 12*s + h. Determine q(l(k)).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 4:39 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184436 is divided by 2975?\nAnswer: 2961","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 4*u + 8 = 0, -4*x + 27*u - 19 = 28*u for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1000 = 2*x + 2588. Let n = -801 - x. Let l = 7989\/8 - n. Find the common denominator of 44 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3031 is divided by 205.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138, 512, 1134, 2004, 3122?\nAnswer: 4488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38654, -38873, -39092, -39311?\nAnswer: -39530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 1630307.5 rounded to the nearest 10000?\nAnswer: 1630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340 is divided by 86.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 122 - -229. Suppose 7*k - c = 4*k. Calculate the greatest common divisor of k and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 5104\/815?\nAnswer: 5104\/815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 124491522*z**3 - 19599350?\nAnswer: 373474566*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 12:14 PM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.66 - -1.76. Which is the closest to m? (a) 3 (b) -0.5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, j: 1, k: 9, z: 3}. What is prob of picking 1 q, 1 z, 1 j, and 1 k?\nAnswer: 27\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, f: 13, u: 3}. Give prob of sequence fff.\nAnswer: 143\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*c**3 + 2*c + 4*c**3 + 10*c**3 - c**2 + 10 + 0*c to v*c + w + t*c**2 + g*c**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 7 - 1)*(-2 + 0 + 0)*(2 - 3 + 0)*(71*z + 23*z + 55*z) as l + c*z and give c.\nAnswer: 1490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 787 - 820 = 3*m for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*g + 2*g + 3463 + 17477. Does 56 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p. Let f(y) = 7*y + 3 + 7 + 3*y - 4. Let b(w) = w + 1. Let h(u) = -6*b(u) + f(u). What is h(z(t))?\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*k**2 + 0*k + 0*k + 9*k**2.\nAnswer: 26*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**3 - 122*r**2 + 283*r**2 + 4*r**3 - r**3 as h*r**3 + k*r + p*r**2 + f and give p.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**4 + 50604*k**3 + 168743136*k**2 + 54224781296*k - 54393575040 = 0. What is k?\nAnswer: -6146, -360, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (25 - 10) + -89 - (-3 + (-6 - (-3 + -14)))\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -886*r - 14177. Give p(-17).\nAnswer: 885","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 11, k: 5}.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i = 1. Find the common denominator of (-24)\/(-22) + (-1)\/i and (-8)\/((42\/(-4))\/(0 - -3)).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000110100 - 10011?\nAnswer: 10000100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/21*-1)\/((-5058)\/(-252) + -20). Sort -5, -1, p, -7, 0.\nAnswer: -7, -5, -1, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 16238007*o**2 + 13852*o - 27704. Let u(s) = 3517*s**2 + 3*s - 6. Let n(g) = -13852*u(g) + 3*x(g). Let m(w) = 2*w. What is m(n(c))?\nAnswer: -6926*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**3 + 3*t**2 - 5*t**3 - 4*t**2 - 8*t**3 to h*t + m + b*t**2 + w*t**3 and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 462 and 3211593?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, -2 in ascending order.\nAnswer: -6, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y = 93 + 7. Let g(i) = -3*i**2 - 2*i + 6. Let t(z) = -4*z**2 - 2*z + 7. Determine y*t(b) + 6*g(b).\nAnswer: 2*b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -47854.2 rounded to the nearest 100?\nAnswer: -47900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g. Let i(j) = -14827280*j. Calculate i(b(v)).\nAnswer: 59309120*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 5)*(2*b**2 + 0*b**2 - 7*b**2) + (-2*b + 44 - 44)*(5 - 18 + 30)*(-2 + b - 3 + 2).\nAnswer: -39*b**2 + 102*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxzxxxxxxxxxxzxxx. What is prob of sequence zz?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (63\/(-18) - 132\/(-72))\/(2\/(-6)). Solve n + 4*l + 12 = -2, f*n - l = -7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 + (2 - 1) - -2 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2010 (base 4) in base 12?\nAnswer: b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqjjjqqtjjhtjtqqqq. Give prob of picking 1 q, 1 t, and 1 h.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -13*y + 6*y - 5 + 4*y. Let m(r) = -2*r. Let q(x) = -2*k(x) + 4*m(x). Let l(h) = 1. Let d(t) = 10*l(t) - q(t). Let a(b) = b. What is d(a(i))?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 25636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 230593 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -30*k + 34*k. Let n(d) = -7*d + 26. Let y(q) = 20*q - 79. Let l(j) = -17*n(j) - 6*y(j). What is the units digit of l(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37191\/272734*80\/3.\nAnswer: 40\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38643536 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -504.3 - 4.\nAnswer: -508.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 68742697897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*c + 5*j - 28 = 0, -4*c - 2*j = -22. Suppose 0*k - c*v = -3*k + 132, 0 = -4*k - 5*v + 140. Let z = 62 - k. Solve -z = -4*p - 2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 3*r = -8, -65 = -3*n + 5*r. Suppose 0 = c + 3*g - n, 5*c + g + 2*g - 149 = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72671867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1\/2)*m)**(3\/46)*(((m*m\/m**(-2\/9))\/m*m*m)\/m)\/(m\/(m\/m**(-4)))*(m**8\/(m**(-6\/7)\/m))**6 assuming m is positive.\nAnswer: m**(379423\/5796)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14355\/31 > 213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 8*u + 11. Let q be n(-2). Solve -w - q = -2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -252 + 334. Let z = 84 - 72. Calculate the lowest common multiple of n and z.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 3643640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/20 - 3\/(-6). What is the second biggest value in k, 2\/5, -7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 41*g**2 - 6725*g + 164. Give u(164).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 10*w**2 + 7*w + 7. Let v(n) = 4*n**2 + 3*n + 3. Let u(p) = -7*v(p) + 3*y(p). Let c(m) = 16*m. Calculate c(u(k)).\nAnswer: 32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15800 and 7900.\nAnswer: 15800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 132.1 times -4.2\nAnswer: -554.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(-2*t - 3*t + 6*t) - t + 3*t + 0*t - 3*t - 15 - 17*t + 13.\nAnswer: -16*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -406*c*g**3*w**3 - 2*c*w**2 + 3*c*w + 2*g**3*w**2 + 14*g**2*w**2 wrt w?\nAnswer: -2436*c*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 - 21*x - 39 - 22*x + 23 as j*x + r and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1896?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t**2 + 2797445*t. Let k(y) = 2*y. Calculate k(c(z)).\nAnswer: 8*z**2 + 5594890*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (122430\/130592)\/(2\/(-48)). Suppose -t + 4*t + 15 = 0. Let g(k) = -k**2 - k - 3. Let c be g(t). Which is greater: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174677421 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 17*f**2 - 193*f**4 - 199*f**4 + 3*f**3 + 18*f**2 + 389*f**4 in the form q*f**3 + h*f + t*f**4 + y + r*f**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**2\/9 + 82*u - 5264\/9 = 0 for u.\nAnswer: -376, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**6\/540 + a**5\/60 - a**4\/18 + 7*a**3\/6 - 6*a**2. Let v(t) be the first derivative of b(t). Let v(o) = 0. Calculate o.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 56, 24, -66, -226, -468, -804?\nAnswer: -1246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 88, -12*t - x = -14*t - 14 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 2 + -1 + (38 - 17) + -32?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2119 - 1112 - 3*v**3 - v**2 - 936 to m + y*v**3 + f*v**2 + b*v and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -140729, 13, -13, -3 in descending order.\nAnswer: 13, -3, -13, -140729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3*sqrt(18) + sqrt(18)))\/(4*sqrt(9)*6).\nAnswer: -2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 23 and 223\/10 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 598619918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 (base 11) in base 4?\nAnswer: 13033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/6 (b) 7 (c) -0.1 (d) -6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*h - 9 = -30, -28 = -4*m - h. Suppose -3*u + m = -5. Suppose l - 9 = u. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 777, 6099, 20535, 48639, 94965?\n\"Answer: 759*z**3 + 3*z**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 2. Let q be (1 + 2)*z + -13. Let k(r) = -2*r - 3. List the prime factors of k(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 4. Let x = -0.1008 + -0.2992. Which is the second biggest value? (a) h (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*t - 130*t = -1731. List the prime factors of t.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 12*i - 2. Suppose 8 - 48 = -4*l. Let m be j(l). What is the greatest common divisor of 27 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooooookoookooookoo. Give prob of picking 2 k.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 0*u + 2*u + 6 + 6 - 3*u. Let j be s(6). Let m be (6\/14)\/((-9)\/j). What is the nearest to 2 in 0.1, 0, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 194319950 or 194319948?\nAnswer: 194319950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.9 - -22. Let x = -8.1 + w. Sort -1\/2, x, 15.\nAnswer: -1\/2, x, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1048 - -1051. What is the biggest value in -3, 0.1, n, 1\/54?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*m = 2493, -m = -4*u + 3*m + 2000. Which is greater: 500 or u?\nAnswer: 500","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/((-4340)\/42) - 4*7\/(-140)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 869 - 873. Let r = 6 + -6.6. Sort f, 4, r, 2 in descending order.\nAnswer: 4, 2, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19969\/6 + 3342. Let s = 27\/2 - m. What is the second biggest value in 1\/4, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 5*h**2 + 4*h - 7. Let k be i(-6). Let p(y) = 4*y**2 + 4*y - 2. Let v be p(-2). Suppose -v*d + 35 = -61. Solve -l = -k*l - d for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p - 72 = 17*p. Suppose 4*l = -3*r + 2*l + 24, 3*r + l - p = 0. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -20. Suppose 2*m = 6*m + i*u - 4, -12 = -4*m + 4*u. Solve -3*r - m = -4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 * 0.2\nAnswer: -0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13492823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 0*v**2 + 15*v - 2 + 0*v**3 + 5\/6*v**4 + 1\/4*v**5. Let h(b) be the first derivative of l(b). Factor h(c).\nAnswer: 5*c**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669\/15 - 6\/(-15) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 873230035.\nAnswer: 5, 191, 277, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23712056087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 + 2*t**3 - 11*t**3)*(2*t - 1 + 1)*(7*t + 0*t + 4*t).\nAnswer: -264*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 41534 divided by 5\nAnswer: 41534\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/10 and 88\/435?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3 + d**2 + 0 - 2*d**2 + 3*d + d. Determine u(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**3 + 5*x**2 - 4. Let t(l) = 2*l**3 + 4*l**2 - 3. Let j = 415 + -408. Suppose -3*r + j = -b, -5*r + 4*b = -3*r + 2. What is r*o(c) - 4*t(c)?\nAnswer: c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -19*t + 10. What is c(5)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 11:24 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**6\/10 - 3*k**5\/10 - k**4\/3 - k**3\/6 - 26*k + 2. Find the third derivative of f(s) wrt s.\nAnswer: -72*s - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 51 - 48. Suppose 5*m - 4*k = 266, -2*m + y*k + 103 = -2*k. Let t = -50 + m. Solve 3*i + 20 = 5*c - 1, 2*i - 8 = -t*c for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -6 + 3*z - 7*z + 0*z. Let b be q(-6). Suppose b + 14 = 4*v. Solve -2 = -3*h - v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/6)\/(9\/(-27)). Does 3 divide (w\/(-4) - 6\/(-12))*11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260061 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q = -19*q - 3. Let z(j) = 5 + 2*j - 3*j**3 + 3 + q - 8. What is z(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 46475959 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*h**3 - 18 + 32 + 4*h**3 - 14.\nAnswer: -101*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.47 and 6.9349.\nAnswer: 37.933903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 766033*l + 765963*l - 1526985*l.\nAnswer: 5011*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 2*z + z + 0*z**2. Let q be b(-4). Let f = q + 1. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 10*k - 26. Let s be 28\/4 - (2 - -9). Let r be m(s). Calculate the greatest common divisor of 40 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/15 (b) 0.726 (c) -192099\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/(-45))\/((-25)\/(-105)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 17 (b) 0.1 (c) -2 (d) 0.03 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -11*v**3 + v**2 - 6*v + 6. Let k(a) = 2*a**2 - 11*a**3 - 7*a + 5 + 2 - a**2. Let x(w) = -7*i(w) + 6*k(w). What is x(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from leexvvvletxeqxtvt. Give prob of picking 2 v.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201 = 5*j - 4*c - 667, 0 = -5*j - 4*c + 852. List the prime factors of j.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62875237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (4 - 29) - 4. Suppose -2*k + 36 = -5*h, 0*k + 10 = -2*h + 3*k. Let c be (-2 - h)\/((-6)\/(-207)). What is the greatest common divisor of p and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57848431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/43, 2\/7, 7.\nAnswer: 2\/43, 2\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17161 + 24930. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/(42\/4) + (-34)\/(-6). Suppose -x*u + 9 + 1 = 0. Suppose -3*n - 30 = -q, q - u*n - 38 = -3*n. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 6:34 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1215390 by -20955.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1337183 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1720 is divided by 113?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(192) + sqrt(192)*3 - (sqrt(972)\/sqrt(9))**2 - (sqrt(3) + (3*sqrt(363) - sqrt(363)) + (sqrt(48)\/sqrt(4))\/sqrt(4))) + 3.\nAnswer: -645 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x**2 + 2*x + 1. Give j(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -2*l + 0*l**5 - 62 + 0*l**4 + 0*l**3 + 44\/3*l**6 + 35\/2*l**2. What is the second derivative of q(v) wrt v?\nAnswer: 1760*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*n + 3, -15 = n - 2*i - 3*i. Suppose -c + 18 = 4*u, -12*c = 4*u - 16*c - 28. Sort n, u, 41 in ascending order.\nAnswer: n, u, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18a - -431?\nAnswer: 5bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4649+4422910\nAnswer: 4418261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1822 + 420 + 1050 - 3439 - 3648 - 2110)*(-j - 4*j + j).\nAnswer: 38196*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 1 + 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -14*x**2 - 1. Let q be y(2). Let f = q - -99. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 686041843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -l + 4. Suppose -l*j + 87466 = -6302. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*a - 2. Let l = 0.18 + 1.82. What is the nearest to l in a, 3, -2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + 7. Suppose 5*d - s = 2*s - 25, -3*s = d + 5. Let l be m(d). Suppose 0 = -l*u + 6, -3*h - u + 3 = -3*u. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 138212803 divided by -6\nAnswer: -138212803\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6*d + 1. Let b(h) = -7*h. Let z(o) = -5*b(o) - 6*u(o). Give z(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -28*(-2 + 3\/2). Suppose -2 = 4*q + m, 2*u - q = 302. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 1:15 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -215, -10747, 1.\nAnswer: -10747, -215, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k - 12 + 1 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 6*o**2 - 10*o + 7. Let w(v) = 6*v**2 - 7*v + 6. Let j(c) = -2*p(c) + 3*w(c). Let a(r) = 6*r**2 - r - r**2 + 4 - 1. Give 5*a(n) - 4*j(n).\nAnswer: n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**3 - b**3 + 2*b**3 + (-2*b**2 + 1 - 1)*(-2*b - 2*b + 2*b) - 380*b**3 - 428*b**3 + 8*b**3.\nAnswer: -793*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (5 + -12) - (-3 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 >= 65\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.16779 and -5.\nAnswer: -4.83221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 234\nAnswer: -23.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17388 = -177*c - 30*c. Suppose 2*m - m - 60 = 0. Calculate the greatest common divisor of c and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -97 + 68. Let n = 528950.999996 - 528980. Let b = t - n. What is b rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*n - n**2 - 18*n**3 - 3*n**2 + 2*n**4 + 2 + 62*n**3 - 43*n**3 to the form p*n + w*n**4 + j*n**3 + b + a*n**2 and give p.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 8 + 8 + (0 - d + 0)*(-40 + 20 + 704))*(-2*d - d + d).\nAnswer: 1360*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z - 3*z + 4 + 1. Suppose -5530 = -1158*w + 52*w. What is a(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 211233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - ((-57 - -22) + 24).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177 divided by 2063691?\nAnswer: 59\/687897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -113.\nAnswer: -3\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 9*o + 42. What is n(9)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 19548.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 2. Let i be p(0). Let t be (-2 - -3) + i\/(-8). Which is smaller: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -121509 by 40503.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5*q**3 - 13*q**2 - 4*q - 11. Let m(r) = 12 + 4*r**3 + 4*r + 5*r - 3*r - 3*r + 13*r**2. Let a(t) = 3*d(t) + 4*m(t). List the prime factors of a(-13).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*j = 2562, -j = 2*c - 0*j - 1708. List the prime factors of c.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, e: 3, n: 3, m: 7}. What is prob of picking 1 m, 2 i, and 1 n?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -m - 1. Let o(p) = -25*p - 4. Is o(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 b when two letters picked without replacement from {b: 1, q: 6, g: 5, j: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*t - 0*t - 27, t - 3*w - 4 = 0. Suppose 5 = 4*j - t. Suppose j*d - 12 = d. Solve d*y + 15 = y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -6*n. Let l(p) = -4*p**2 - 8808*p. Give d(l(y)).\nAnswer: 24*y**2 + 52848*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*(y\/(y*y*y*y*y*y*y**(-21\/5)\/y*y*y*y))\/y))*y**18)\/((y*y**15)\/y*(y*y**(-1\/2)*y)\/y) assuming y is positive.\nAnswer: y**(-3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2444621.67 take away 5.55?\nAnswer: -2444627.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*w - q = 67*w - 22100, 0 = 4*w - 5*q - 88391. What is the thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 12*m**2 - 4*m + 1. Let l be y(-3). Suppose 2*a - 3 - 5 = 0. Let j be ((-66)\/24)\/((-1)\/a). Calculate the greatest common factor of l and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4*-1)\/2 - -24. Let n = h - 11. Suppose 4 = 3*w - n. Solve -3*l + 4*l = w for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -23. Calculate the least common multiple of 20 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0163 + 0.2163. Which is the fourth smallest value? (a) z (b) 2 (c) 0.02 (d) -2 (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 23. Suppose -134 = -d*i + 126. Let r be (1 - (-1 + 0)) + i. What is the highest common divisor of 18 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*z + 24*z - 320. Solve b - 27 = -z*r, -b + r - 1 = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 287224740 to the nearest integer?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**2 - 62200*v - 2603580 = 0. What is v?\nAnswer: -12398, -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q*q**0)*(q*q\/(q\/(q*q**(-2\/25)*q)))\/q)**(2\/55) assuming q is positive.\nAnswer: q**(46\/1375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hihi when four letters picked without replacement from {i: 6, h: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -239*d**2 - 98*d**2 - 308*d + 145*d + 2 + 163*d to the form p + f*d + c*d**2 and give c.\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/98435 or -1?\nAnswer: -4\/98435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5520093063?\nAnswer: 3, 1840031021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 20*p**2 + 88*p**2 - 31*p**2 - 24*p**2 to the form t + n*p + o*p**2 and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-6)*a\/(a*a**(-7)) assuming a is positive.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 15385 = 3*c, -1 - 2 = 3*t. Let p = c - 41117\/8. Let y = -85 - -1613\/18. Find the common denominator of p and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*l + 63 = 38, 5*d + l = 21. Solve -4*c - 17 - 3 = 4*y, c + d = 5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -449 * 116.6\nAnswer: -52353.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + j + 7 = 0, 2*q = -3*j - 3 - 2. Let m(s) = -s**2 - 10*s + 4. Let i be m(-10). Calculate the greatest common divisor of i and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -1627554?\nAnswer: 1627560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -103450 by -1.\nAnswer: 103450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**6\/65 - m**5\/65 + m**4\/26 + 2*m**3\/39 + 11*m. Solve h(r) = 0 for r.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-33)*3)\/((-264)\/726).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 261423607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 0 + (-40)\/(-10). Let d(z) = 3*z + 2. What is d(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*s - 8*s - 13 = 0, -3 = -2*z - 5*s. Let v(i) = 6*i**2 - 5*i - 5. Suppose -4*h = -h + 15. Let u(j) = 5*j**2 - 4*j - 4. Determine h*u(d) + z*v(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(245)*-2 - sqrt(245).\nAnswer: -21*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 565 (base 13) in base 8?\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -180 and -28849\/160 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 4139476?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**6\/240 + 5*i**4\/24 - 6*i**2. Let g(k) be the second derivative of z(k). Let v(u) = -2*u**2. What is g(v(c))?\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 458300221?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + p = 20. Suppose 3*t + 0*t = 0. Solve h - 6*h + p = t for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1570 - -1571. Let j(l) = 4*l**2 - 3*l + 2. Give j(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 712996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 132603580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1981 (b) 3 (c) -2\/5 (d) 0.1 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*k**2 - 5*k**2 + 2*k**4)*(-32 + 16 - 4)*(2 - 3 + 0)*(-4 - 1 + 1) to w*k**4 + i*k**2 + a*k + r + z*k**3 and give w.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -172*y + 8610. Let g be k(50). Suppose -28 = -4*u - 4*o, 3*u - 5*o + 2 = -1. What is the second smallest value in g, 1\/4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-36)\/(-27)*(0 + 30). Let q(b) = -b**3 - b**2 + 89*b + 168. Let v be q(-9). Solve 5*w - s = -v for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -82.84 * 0.3.\nAnswer: -24.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9780854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.62 - 0.38. Which is the nearest to q? (a) -3 (b) -5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/(-30) - 21112\/(-390)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k**5\/5 + 82987*k**4\/5 + 1723576543*k**3\/5 + 77418851341*k**2\/5 + 536640380056*k\/5 + 1018147553872\/5 = 0. Calculate k.\nAnswer: -41471, -37, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -373 + 383 + 1 + -29?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 47 + 67 - 38 + x as g*x + q and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k - 2. Let h be s(2). Let p be 8 + 3 + -2 + h. Let n = -6 + p. What is the remainder when 8 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/9 - 178\/72. Let q(g) = g + 24. Let j be q(-6). Let s = 16 - j. Do p and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - -6) + (41 - 4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/81 - 319\/405. What is the smallest value in o, -5, 2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95 divided by 95.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 468752720 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbpcbcwpbbcpbbwbbp. What is prob of sequence cw?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/(-45)*15\/(-25). Which is bigger: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -67623*j - 743889. Determine o(-11).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -210 (base 11) to base 14\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 405 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370*w - 6321 = 2929 for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 2*n + 0*n)*(10*n - 12*n + n**2 - 11*n**2).\nAnswer: -20*n**3 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 8*p**2 + 4*p. Let w(a) = -17*a**2 - 9*a. Let q(d) = 9*o(d) + 4*w(d). Let m(f) = -2*f. What is m(q(b))?\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 6:13 AM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of g**6\/4 + 3*g**5\/5 - g**3 - 3*g**2\/4 + 5. Determine h, given that x(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 22*n - 131. Let u be z(6). Let b be (u*-4 - -1) + -24 + 51. Calculate the highest common divisor of b and 1536.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3 - u + 7 + 3 + 3. Let p be t(0). Suppose -3*s + 2 = -p. Solve s = -w - 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 3*j + 1. Is 16 a factor of o(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8627 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -64.67075 to zero dps.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7957 - 7955. Solve -2*i - 7 = 3*k, k = 4*i - l*k - 31 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597 is divided by 149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 10*q**2 + 4*q - 8. Let z be t(-11). Let o be z\/21 + (-8)\/28. Suppose -o*l + 2 + 4 = 0. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w - 1. Let l be s(3). Suppose l*i + 10700000 = o, -o + 6*o = -4*i + 53500000. What is o rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0)**(-9)*(u\/u**(-1))**(-22) assuming u is positive.\nAnswer: u**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4.6 and 25270?\nAnswer: 25265.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-4)*-5*10*2\/20?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2. Let b = -9 - -12. Let y(f) be the first derivative of -1 - 2*f**b + 7 + 1. Determine i(y(j)).\nAnswer: 36*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-110)\/20 + -9 + 13?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 540973?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 + 20*p - 22. Let h be f(-11). What is the closest to h in -0.5, 5\/3, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 353.313978 - 353.024. Let l = -1.89 - -1.6. Let k = q + l. Round k to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 1\/4 (c) 0.1 (d) -0.4 (e) -1\/5 (f) 19\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 < -116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 93*c - 9395. Let y be o(-61). Let t(i) be the first derivative of 35*i**3\/3 + i**2 + i + 5. What is t(y)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 5*b + 57. Let v be z(-17). Let t = v + 37. Solve 4*i = t + 11 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -124 in 2\/1785, 1\/4, 34?\nAnswer: 2\/1785","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzs when three letters picked without replacement from sykoosyyszzzsy.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 12 = 4*t. Suppose a + 3*p = -3*a + 31, 4*a + 2*p = 26. Suppose 4*h - 3*h = a. Solve 0 = z - t*k - 3, -6*k = 2*z - 2*k + h for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 371440802?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3903*x**2\/7 + 405858*x\/7 - 5616\/7.\nAnswer: 3*(x + 104)*(1301*x - 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/21? (a) -4 (b) 2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6214208820 to the power of 1\/2, to the nearest integer?\nAnswer: 78830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + -77\/2. What is the common denominator of n and 29\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 479*j - 32583. Determine h(68).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4577.7 and 0.4.\nAnswer: -4577.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2, -3*m = q - 32. Let x = 15 - m. Solve x*j - 3*j = 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 420 times -12.68\nAnswer: -5325.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*j**3 - 4*j**3 - 3*j**3 + 19*j**3 + 8443 to x*j**3 + l + u*j + a*j**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 + -0.11. Let c = 4.06 + i. Let y = 2 + -3. What is the closest to y in -0.3, c, 1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 16\/20*5. Solve -m = a + 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**5 + 0*h**5 + 0*h**5 + (h + h - 6*h)*(-2*h**4 - 4 + 4).\nAnswer: 10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 4*p - 2. Let o(f) = -6*f + 3*f + 2*f + 0*f. Calculate -5*o(h) - w(h).\nAnswer: h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + k + 10, -c - 24 + 12 = 4*k for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 487 in 0.2, 4, -266?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -166 + 186. What is the smallest common multiple of v and 96?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 128856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, 3\/2, 0.2, -5, 2\/7 in ascending order.\nAnswer: -82, -5, 0.2, 2\/7, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -275827 + 1170*z**4 + 275827 + (-2 + 2 - z**2)*(28 - 28 - 8*z**2) to the form v*z**3 + o + c*z**2 + r*z**4 + t*z and give r.\nAnswer: 1178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 209 - 80. Find the common denominator of 34\/40*-2 - 0 and (10\/25)\/((-24)\/k).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.897 and -0.035.\nAnswer: -5.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**3 + h**3 + h**3)*(-335 + 619 - 305).\nAnswer: 21*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 137424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1770, 14251, 48118, 114063, 222778?\nAnswer: 384955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67256 + 39*n - 67256.\nAnswer: 39*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 2*x + 6*p - 10, 2*x = -p + 7 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**3 + 348*q**2 - 343*q - 192. Calculate d(115).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 24*s + 294. Suppose 30*b - 29*b - w = -8, -2*b - 32 = 2*w. Let g be l(b). Let r(n) = n - 1. Give r(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19\/12 in -4, 1\/2, -3, 111.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r + 4*r - 1 + 0 - 7*r. Let q(d) = d. Let i(o) = -o**3 + 6*o**2 + 18*o - 15. Let k be i(8). Calculate k*u(f) + 6*q(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 30*a. Solve -4*x + 12 = a, 24 = 4*l - 0*l + 4*x for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15027\/(-2)*(-2 + 8\/12). Let f = -7155 + w. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13685\/(-420) - 45\/12 - (-5 - (-24)\/9)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 12:38 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 253 + -253. Sort g, 1, 121 in descending order.\nAnswer: 121, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 10, -2, -23, 118, 11.\nAnswer: -23, -2, 5, 10, 11, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-227)\/((-32007)\/5452)*-3\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.041 in 0, -4, -2\/7, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v**3 + 41*v**2 + 24*v - 14. Give p(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -208*t + 2292. Let z be j(11). Solve -z*w = k - 33 + 30, -3*k - 25 = -5*w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 - -283. Let n = -59 + s. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (455\/(-21))\/(-13)*45\/25?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001541 to 5 decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 10 - j)*(-5 + 2 + 5)*(2*j**3 + 0*j**3 + 0*j**3) as i + f*j**3 + a*j + n*j**4 + k*j**2 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 9:37 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b**2 - 14*b + 45 = 0. Calculate b.\nAnswer: 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**(-31)*r*r**3*r*((r**(1\/7)*r)\/r)\/r*((r*r*r**(2\/5))\/r**(2\/3))\/(r**(2\/13)*r\/(r*((r\/(r*(r*r\/(r**0\/r))\/r))\/r)\/r*r)) assuming r is positive.\nAnswer: r**(46031\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(10) + -5*sqrt(40)\/sqrt(4) + sqrt(10)))\/((sqrt(25) - sqrt(300)\/sqrt(48))\/sqrt(5)) + 4)**2.\nAnswer: -192*sqrt(2) + 1168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 325640852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18872 divided by 162?\nAnswer: 9436\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -111 + 111. Suppose p = 9*l + 148 - 1354. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 3*g + 6. Let i = -4 + g. Let o(q) = -q**i + 5*q**2 + 0*q**3 + 4*q + 3 + q**3. Calculate o(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h. Let f be g(2). Let j be 1 + 0 + (f - -5500001). Round j to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2048274, 4096499, 6144726, 8192955?\nAnswer: 10241186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**3 - 26616*j**2 + 59060895*j - 118015350 = 0. What is j?\nAnswer: 2, 4435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 584926?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 8*o**2. Let c(w) = 1761 - 2*w - 1761. Give l(c(q)).\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.70318 millilitres in litres?\nAnswer: 0.03170318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 - (-13 + 3 - -8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 9601.05559 to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/10*(-45)\/9. Suppose -4*h - 20 = -x*h. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4 = -p, z + 5*p = 75. Suppose -z = 3*o - 86. Calculate the remainder when 44 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 14*t**2 - 26*t - 91. Let p be c(16). What is the biggest value in 8, -1\/5, -13, p?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -4*y**3 - 3140*y**2 + 22152*y - 19008 = 0.\nAnswer: -792, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d**3 - 37*d**2 - 81*d - 2. What is j(-9)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 906 and 1046850?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52513 and 6313916?\nAnswer: 3089","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(5) + (sqrt(30)\/sqrt(6))**2*2).\nAnswer: 6*sqrt(5) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 312 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67679 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 46. Let y = -37 + h. Calculate the greatest common divisor of y and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 1, -2, -100, 6 in decreasing order.\nAnswer: 6, 1, -2, -13, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 41, -1 in descending order.\nAnswer: 41, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 20*m + 14. Give s(-11).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/57*1713\/2284?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -4. Let g = -177 + 177.5. What is the third biggest value in t, -0.8, g?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*f + 8466 - 5224 + 8182 = 0 for f.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/25*534\/712)\/((-135)\/(-75))\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 45192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/2*44\/550. Let r = u - -1\/5. Put -2, r, 5, -3\/2 in ascending order.\nAnswer: -2, -3\/2, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a77214 (base 11) in base 4?\nAnswer: -110011210131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 461 or 465?\nAnswer: 461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*b + 2*j, 2*b + 0*j = 2*j + 22. Let f be ((-16)\/5)\/((-18)\/585). What is the greatest common factor of f and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 866 and 574.\nAnswer: 248542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 - 7*o + 9. Let l be b(-7). List the prime factors of l*3\/((-45)\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*l - x + 14 = 0, -4*x - 8 = 0. Suppose 4*b + 0 = -t - 2, -l*t + 12 = -4*b. Suppose -7*g = -12 - t. Solve g*w - 15 = -w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(171) - (sqrt(171) - -4*(1*sqrt(171) - sqrt(171) - sqrt(171))))**2 + ((sqrt(171) + -1)*6)**2 - ((-4*-5*sqrt(171))**2 - 6*(2 + sqrt(171))).\nAnswer: -59456 - 198*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2719213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**4 - 75 + 3*b**4 + 13*b**2 - 2*b**4 + 110 - 9*b**2 as k*b**2 + o*b**4 + x*b + y + v*b**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7873 is divided by 140.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 2*w**2 - 2*w - 2*w**2 + 4. Let x(b) = b**3 + 14*b**2 - 16*b - 12. Let d be x(-15). Is t(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -389.6 + 432. Let u = s + -42. Which is the nearest to -0.1? (a) 0.3 (b) u (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -5 (b) 117 (c) -1.163 (d) 0 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 8:54 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 3*y + 150. Let u = 10 + y. Let t = u + 57. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 140857754?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, o: 8, i: 4, g: 4, q: 1}. What is prob of sequence gq?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(3\/19)\/w*((w\/(w*(w*w*w**(-1\/2)\/w*w*w*w)\/w))\/w)\/w assuming w is positive.\nAnswer: w**(-203\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/63)\/(15\/(-10))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/396 and 47\/286.\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -12*r**3 - 2*r**2 + 11*r + 12. Let w be g(-1). Which is the biggest value? (a) -1\/5 (b) 2\/3 (c) -2 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -50, -3, -2\/7, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/3 - g - 4\/3.\nAnswer: (g - 4)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216)*2)**2*-3 - (0 + ((sqrt(1216)*2 - sqrt(1216))**2 - sqrt(1216)) - sqrt(1216))) + -2 + (sqrt(1216) + 5 - sqrt(1216))**2*4.\nAnswer: -15710 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 174*a**2 - 20*a + 1. Let t(o) = -320*o**2 + 39*o - 3. Let w(z) = 6*t(z) + 11*x(z). What is w(3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u + 14. Let a = 121 - 107. Suppose 0 = 17*p - 15*p - a. Suppose -5*c - 20 = -p*c. Determine d(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*f - 103*f - 2382 = 538 + 2360 for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 2.4. Let v be (-4)\/(-2) - (1 + -2). What is the closest to 0 in v, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 0, 2*s = 4*z + 40 + 4. Let l(y) = 10*y**3 + 21*y**2 - 1. Let r(g) = 2*g**3 + 4*g**2. Let u be -1*18\/15*5. Let a = u + 8. What is a*l(j) + z*r(j)?\nAnswer: -2*j**3 - 2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.70025 + -0.30025. Which is the smallest value? (a) 1\/3 (b) i (c) -38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**4 - 3*m**4 + 3*m**4 + 4*m**4 - 5*m**4 + 3*m**4 + (-2*m + 2*m + m**2)*(-m**2 - m + m) + 3 - 3 - m**4 + (-m - m + 0*m)*(507 - 26*m**3 - 507).\nAnswer: 53*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q - 1. Let c be t(-6). Suppose c*h - 3 = 12. What is the smallest common multiple of 10 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, d: 1, e: 1, o: 2}. What is prob of sequence do?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25316?\nAnswer: 2, 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53259335?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-147 - 13648)*1*-3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.075 - 19.925. Let q = v - -19.835. What is q rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2317597352 to the power of 1\/2, to the nearest integer?\nAnswer: 48141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83 + -82.9999863. Round z to 6 dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 11*h - 15. Determine g(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -10131.\nAnswer: 10131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s - 1. Let t = -9431 - -9432. Let b(d) = 14*d - 4. Give t*b(v) - x(v).\nAnswer: 13*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 56*n**2 - 42*n + 42. What is k(1)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/6950 or 1?\nAnswer: 1\/6950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 5*n = -8, 5*s = 3617*n - 3616*n - 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.2 - 1. Suppose 3*p + 9 = -6. Let y = -1294 + 1296. What is the nearest to b in y, p, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3077 and 1448.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (sqrt(117) - 4*-1*sqrt(117)))\/sqrt(9) - (sqrt(832) + 5 + 1*sqrt(832)))**2.\nAnswer: 200*sqrt(13) + 5225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3242\/3*f**3 + 506\/3*f**4 - 4706\/3*f**2 - 322*f + 0 + 8\/3*f**5 = 0.\nAnswer: -69, -1, -1\/4, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30, -75, -132, -189, -234, -255, -240?\n\"Answer: 2*g**3 - 18*g**2 - 5*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 98?\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 319 and 8410?\nAnswer: 92510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o**3 + 180*o**2 - 8. Let l(m) = -4*m**3 - 120*m**2 + 5. Let s(x) = -8*l(x) - 5*q(x). What is the third derivative of s(t) wrt t?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 1)\/((-2)\/2). Suppose 3*j + 4*x + 0*x - 34 = 0, -14 = -3*j + x. Let v be -4 - (-25)\/j - (-7)\/(-33). Which is greater: m or v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 10 - 10 - 14*o**3)*(-17*o + 0*o - 4*o).\nAnswer: 294*o**4 + 21*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8 - 4*u + 0*u + u with respect to u.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -103, 26180 in descending order.\nAnswer: 26180, 5, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 219696, 219696, 219702, 219720, 219756, 219816, 219906, 220032?\n\"Answer: c**3 - 3*c**2 + 2*c + 219696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 3. Does z = -1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 20. Sort r, 2\/7, 3 in decreasing order.\nAnswer: 3, 2\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 7. What is the second derivative of k + 2*k**n + 2*k - 6*k wrt k?\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2382 - -3807. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 18*d**3 - 3*d**2 + d + 4. Let p be a(2). Let n = -551\/4 + p. Let -1\/4 + n*t**3 - 1\/4*t + 1\/4*t**2 = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 + (-28)\/7 + 1. Let w be (-2 - 1)*(0 - 1). Sort u, w, -10 in descending order.\nAnswer: u, w, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/((-2)\/(-5)*-25 + 5). Solve 8*n = c + 11*n - 5, -c - a = -4*n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -5) + 91 + (-17 - -20) + 1 + -12\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/(-12))\/(1\/32). What is the highest common divisor of 16 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 45 = -0*x. Suppose 4*f - x = 11. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 538531596 to the nearest integer?\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 13*f + 14. What is the remainder when s(-10) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 256679, 256551, 256207, 255539, 254439?\nAnswer: 252799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -113*v + 3. What are the prime factors of i(-1)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-870)\/38 - (851690\/(-161))\/230?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 31*c**3 - 304*c**2 - 74*c + 140. Determine g(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -476000 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/5 and -35\/334.\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1772*n**3 + 4 - 1825*n**3 - 2 to o + s*n**2 + u*n + f*n**3 and give f.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 76.1 + -55. Let o = t - 21.10000101. What is o rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 * 137730\nAnswer: 3580980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/11418 and -29\/30448.\nAnswer: 91344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -19*s - 396. Give r(-20).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-2)*(-8 - -1). Suppose 0 = -b*q - 100 - 26. Let h = q - -39. What is the highest common divisor of 168 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from plplplllllplllllll?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 11 = 2*z + 5*m, -5*z - m = 14. Which is the nearest to -0.1? (a) 51 (b) z (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + 1. Suppose 0 = 2*g + 4*z + 16, 2*g + 2*z + y = 3*g. Solve 4*p - 5*c + 3 = 1, -p - 2*c - 7 = g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 200 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 89208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.39996 - -0.05714. Let z = y + -0.45706489. What is z rounded to six decimal places?\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1857152 and 384?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3181?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*1\/(-8))\/(13*9\/1638).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1760)\/(-11616)*(-15)\/(-25)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 5*g + 72, g - 67 = 5*h + 23. Let v(s) = 28*s**2 - 14*s + 185. Is v(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 1:53 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/4 - (-1 - 1). Solve 4*a + m = 6*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 270 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -9*q**2 + 9. Let y(s) = 10*s**2 - 10. What is 6*a(g) + 5*y(g)?\nAnswer: -4*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -41611 (base 7) to base 2\nAnswer: -10100000001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + (-1 - 1) + 3. Suppose 2*z + 0*z + 8 = 0. Let q be (6\/z)\/(9\/12). Sort q, 1, a.\nAnswer: q, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 678 + -338. Let g = -157 + v. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -585921, -584753, -583585, -582417, -581249?\nAnswer: -580081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, b: 19}. What is prob of sequence bbv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88\/5*j - 136\/5*j**4 - 222\/5*j**3 + 256\/5*j**2 + 0 + 14\/5*j**5 = 0 for j.\nAnswer: -2, -2\/7, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28779748?\nAnswer: 2, 101, 71237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.34 + 11.34. Are d and -0.22 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13916 + -13347. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h + 2*h**4 - 32815 + 3*h**2 + 32815 - 6*h**3 in the form q*h + r*h**3 + f + j*h**4 + v*h**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -89.3 and 0.0231?\nAnswer: -2.06283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 110, 235, 400, 599, 826?\nAnswer: 1075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 3*y = 3*w - 177, -y - 171 = -3*w. Suppose w = 7*i - 3*i. What is the remainder when 33\/(2*(21\/(-6) + 4)) is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8\/5, -1\/5, -0.037?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -6*l + 10. Let h(b) = 3*b - 5. Let v(y) = -7*h(y) - 3*z(y). Calculate v(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/(-9))\/(-2)*15)\/((-23195)\/(-18556))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -443) + (-2 - 5) + 8. What is the highest common divisor of 26 and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 15*y**2 - 21*y + 8. Suppose -10*p + 32 = -12*p. Calculate the smallest common multiple of 56 and j(p).\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzm when three letters picked without replacement from mmjztjjzzzmz.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3855?\nAnswer: 3, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10298, -20598, -30898, -41198, -51498, -61798?\n\"Answer: -10300*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 350 = -658. Let y = i + -204. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -153512303 + 808394322. Let h = -654881988.9999981 + z. Let m = h - 30. Round m to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 276 and 3358.\nAnswer: 20148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t + 4*t)*(9 + 2 + 3)*(-18*t**2 - 29*t**2 + 12*t**2) + 1 - 1 + 1 + t**3.\nAnswer: -1959*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(3\/4)\/((z\/(z**10\/z))\/z*z))\/(z**(-1))**42)**(-5\/11) assuming z is positive.\nAnswer: z**(-1015\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -173, -688, -1551, -2768, -4345?\n\"Answer: -j**3 - 168*j**2 - 4*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from qppsldg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16665094 at least 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 446 - -40f56?\nAnswer: 4139c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20\/11*x + 80\/11*x**3 + 6*x**2 + 32\/11*x**4 + 2\/11.\nAnswer: 2*(x + 1)**2*(4*x + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.3746430895 + 0.0106144195. Let z = s - -6.364. Round z to six decimal places.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 30 = 4*h, -93*a = -2*h - 94*a + 14. Solve 5 = -5*i - q, -2*q = -5*i - h*q + 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**2 + 927*u - 42066. What is x(51)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zizizziizzzzi. Give prob of sequence zz.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s**3 - 2*s**2 - 3*s**3 + 3*s**3 + (3*s + 2*s - 6*s)*(8 - s**2 - 8) + 0*s + 2*s**3 + 0*s to the form d + h*s**3 + w*s + a*s**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n + 47. Let o be y(0). Let a = -31 + o. Suppose d = 40 - a. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 912338 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*p - 971 - 200 = -2*m - m, -3*p + 2*m = -2*p - 26 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2065333 - -430?\nAnswer: 2066063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0504 + -300.0504. Let f = c + 296.59. What is f rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -19*x**2 + 8*x**2 + 2*x + 4 + 10*x**2. Let q(i) = 2*i**2 - 3*i - 5. Let j be 1\/(-4) + (-26)\/(-8). Give j*q(u) + 4*r(u).\nAnswer: 2*u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 565182 to the power of 1\/2, to the nearest integer?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25*(582\/30 - 19).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 836281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 1\/5, 0.132, -0.4, -2\/7, -48?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4483 (base 14) to base 9.\nAnswer: -17254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -29*y - y + 90*y - 850, k = 5*y - 68 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43213*b**5 - 801459*b wrt b.\nAnswer: 864260*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*m = 71*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -11*c**3 - 2*c**2 + 7*c + 4. What is the smallest common multiple of 108 and l(-4)?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z - 3. Let u be i(3). Suppose u*p - 341700 = 4*p. Suppose h + p = -1660. Round h to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m + 2. Let c(p) = 25*p - 298. Give c(r) - 5*l(r).\nAnswer: 5*r - 308","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 23*c + 6468. Suppose c*m - 310*m = -16. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17184.058568 rounded to zero dps?\nAnswer: 17184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 4*w**2 + 2*w + 3. Let m be p(-4). Let q = 0.29 + 0.21. Which is the second biggest value? (a) q (b) m (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -965 divided by -354?\nAnswer: 965\/354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -60863 at least -60863?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + -5dd2?\nAnswer: -5dca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -14, -27, -36, -41, -42, -39?\n\"Answer: 2*u**2 - 19*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 501 - 12519\/25. Are d and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/140*7*(3 - 11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5.33532mm?\nAnswer: 5335.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*i**2*o - 313218*i**2 - 32*i*o - 35165*i - 1 wrt i.\nAnswer: 16*o - 626436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x. Let j be h(1). Suppose 2*d - 6 + j = 0. Suppose 0 = 2*z - 11 + 3. What is the smallest common multiple of d and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 165 and 450.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1 = -6. Suppose b*c - 2*c = 10. Let i(k) = -k**c - 1239*k + 1239*k. Let s(f) = 4*f**2. What is i(s(t))?\nAnswer: -16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 119*m - 36*m - 51*m + 11 - 34*m - 4*m**4 + m**2 in the form d + g*m + l*m**2 + p*m**3 + i*m**4 and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4019939586?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4259 + 3805. Is 18 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2918 and -0.4?\nAnswer: 2917.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 11:22 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 683563, 683569, 683579, 683593?\nAnswer: 683611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20.3 + 20. Which is the nearest to 1? (a) -2 (b) 1\/16 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217698071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0372 and 3.4.\nAnswer: 0.12648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d + 21. Let f be i(3). Suppose 85990 + 56348 = f*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -9*u**4 - 9*u**3 - 29*u**2 + 54. Let y(x) = 5*x**4 + 4*x**3 + 14*x**2 - 27. Let o(z) = 4*w(z) + 7*y(z). Find p such that o(p) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7252936\/348141 - -1\/232094. Calculate the common denominator of (-1)\/((-5)\/(1270\/12)) and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 23502480 and 0.\nAnswer: 23502480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -648*4.4\nAnswer: -2851.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + 2 + 26 + -4 + -9?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.01, -338, 36, -2\/19, 2\/13?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**3\/3 + o**2 - 4*o. Let s be b(2). Let w = 7.3 + -7. What is the closest to 0 in s, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -599 + 13775\/23. Put l, 3\/4, 20, 5\/6 in descending order.\nAnswer: 20, 5\/6, 3\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -2, 11\/19, -0.71 in decreasing order.\nAnswer: 19, 11\/19, -0.71, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25422 (base 9) to base 6.\nAnswer: -211115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 28517239 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 192*j + 12. Let l be t(-10). Calculate the common denominator of -2 - (l\/(-80))\/(-9) and (-121)\/(-18) - 2\/(-2).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o**2. Let r(d) be the first derivative of d**2\/2 + 9. Calculate s(r(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**2\/3 - 72*s + 214\/3 = 0.\nAnswer: 1, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 20671176686838?\nAnswer: 20671176686840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225838513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/21)\/(-1))\/(117\/(-91) - -5)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1425*l - 692*l + 6118 - 735*l + 2*l**4)*(3*l - l - 3*l) + 2*l**5 - l**2 + 3*l**2 - l**5.\nAnswer: -l**5 + 4*l**2 - 6118*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4634*d = -2730*d + 7468*d - 599808 for d.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -0.4. Let o = z - -0.3. Let d = -2.2 - -2.3. Which is the closest to d? (a) -2\/7 (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**2\/3 - 340*l\/3 + 700\/3 = 0. What is l?\nAnswer: -70, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -2. Suppose -4*f + 52 = -4*m, -2*f - 2*m + k = -8. Suppose 4*i - 23 = -7. What is the least common multiple of i and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-15))\/((-2)\/(-6)*105\/(-175))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-7)\/3)\/((-1)\/3). Let l(c) be the first derivative of -4*c**3\/3 + c**2\/2 + 2*c + 2. Let y(r) = 13*r**2 - 4*r - 7. What is f*l(x) + 2*y(x)?\nAnswer: -2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (78\/(-24) - 2)*(-9 + 12)*-4. Solve 0 = 5*f - 15, -i*f + 29 = -4*n - 60*f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 2:02 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 33*u + 47. What is g(-29)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.5 + 0.1. Let b = 78212.4 - 78212. What is the closest to b in -6, c, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18866716 a multiple of 506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 15*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-7) - 92\/(-28). Let r = 7 - l. Suppose -5*k = -4*k - h - 16, -3*h + 36 = r*k. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 335 (base 8) to base 14.\nAnswer: 11b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 14*t**2 - 7651*t + 99186. Calculate n(13).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3*n)*(6 - 2 - 3)*(-23*n + 39*n - 37*n) + (-4*n + 4*n + 2*n)*(294*n - 153*n - 148*n).\nAnswer: 49*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 100\/37?\nAnswer: 100\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2)\/x)**(-24)*x\/(x*x**(-9)\/x)*x**11*x assuming x is positive.\nAnswer: x**94","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -125*n - n**2 + 125*n. Let a(k) be the first derivative of -k**2 - 2. What is w(a(r))?\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1141\/2 - -582. Let q = r - 34\/3. Which is the biggest value? (a) 1\/4 (b) q (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**4 + r**4 + 8*r**4 - 2*r**4 + 0*r**2 + 0*r**2 + (-2*r**3 - 4*r**3 + 4*r**3)*(3*r - 2*r + 0*r) + r**2 + r**4 - r**2.\nAnswer: 3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/4 (b) 6 (c) 1 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 9*w - 4. Let l be f(-10). List the prime factors of (112\/3 + -2)*9\/l.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-2)\/10) + -3. Suppose 0 = i*f - 52 - 30. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of k**6\/165 - 3*k**5\/220 + k**4\/132 + 18*k. Solve a(f) = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000442776 to five dps.\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 615, 152, -307, -762, -1213, -1660, -2103?\nAnswer: -2542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 225263 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900)*1 + 5 + -5 + 1 + sqrt(1900) - (0 + -1 + sqrt(1900) + sqrt(1900) + -1 + sqrt(1900) + sqrt(1900) + 4)) + 3 + 0)**2.\nAnswer: -80*sqrt(19) + 7604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3139725 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2470328 is divided by 352862.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61 - -247\/4. Let o = -6.55 + -1.15. Let i = o - -8. Put i, 3, g in descending order.\nAnswer: 3, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 697 divided by 2\nAnswer: 697\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/8 + 1011*z\/8 + 1005\/4.\nAnswer: 3*(z + 2)*(z + 335)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -4. Suppose f = -u*f + 2. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 3 - (-11)\/(-5)) + (-396)\/20.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-26)\/(-6) + (-2)\/(-3). Suppose 2*b + 2*a - 26 = 0, 0 = -b - 3*a + 10 + k. Let q(s) = -3*s**2 + b - 12. Let l(z) = -z**2. What is l(q(i))?\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 38 = -2*k, 2*q - 9 = 9*k + 39. Sort -0.3, -0.033, k, -0.2, -3.\nAnswer: k, -3, -0.3, -0.2, -0.033","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 14\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2575)\/(-1030)*(-3)\/(-30)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-14)*(15\/(-30))\/(-1)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 33 - -12)*2\/(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 t, and 2 n when four letters picked without replacement from qnoqooonotnf?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114226?\nAnswer: 2, 7, 41, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, z: 5, a: 1, c: 4, x: 2}. What is prob of picking 3 c and 1 x?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/(-4))\/(-3))\/((-1)\/2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 144874703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of f**4\/4 + 4*f**3\/3 + 2*f**2 + 3*f + 149. Give v(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16389*m - 5399*m - 5622*m - 5727*m.\nAnswer: -359*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1480797 divided by 3?\nAnswer: 493599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q**2 - 17*q - 15. Let i(j) = j**2 - j. Let t(p) = -5*p**2 - 5*p - 7. Let r(l) = 3*i(l) + t(l). Let b(u) = 5*r(u) - 3*z(u). Is b(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d**5\/4 - 660*d**4 + 94587*d**3\/4 - 728577*d**2\/2 + 1984209*d + 459186 = 0. Calculate d.\nAnswer: -2\/9, 14, 26, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 948, -3, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4a24 (base 16) to base 3\nAnswer: 222000222","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208)*3 + 0 + (-3 + sqrt(208))*5.\nAnswer: -15 + 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 >= 140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/1532934 and 103\/104.\nAnswer: 6131736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393312?\nAnswer: 2, 3, 17, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29000 and 2?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 2*x + 3*o, 4*x + 228*o + 19 = 229*o for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 70?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1514?\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -163494*k**3 + 12*k - 3868149.\nAnswer: -490482*k**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -5, -5*n - 2*a + 4 = 11. Let j(z) = -3*z**3 + z. Let t be j(n). Let d = t - -55. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 + 3*i)*(-7 - 2 + 182*i + 68*i - 52*i).\nAnswer: 594*i**2 - 27*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 176626400 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 - 12 - (0 - 5). Let j = 2.734 + 0.266. What is the fourth smallest value in o, -3, j, -10?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*t + 16*t + 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 2. Suppose -2 = j + 3*y, w*j - 4*y - 13 - 7 = 0. Suppose -3*o + 128 = 2*i, -4*i - 163 = -j*o + i. Calculate the highest common divisor of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w*w**(1\/2))*w*w*w)\/(w**(3\/2)\/w)*w**(2\/3)*w**(-2\/7) assuming w is positive.\nAnswer: w**(71\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 2\/5, 1\/4, -5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 6:52 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 232253763.3 to the nearest 100000.\nAnswer: 232300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*a - 2358 = 0, -10*o = -5*o + 2*a - 3911. Calculate the greatest common factor of 11 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 364958 divided by -8\nAnswer: -182479\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*j - 35*j + 2 - 190*j.\nAnswer: -195*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48360 and 56949945.\nAnswer: 6045","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, h: 5, v: 2, i: 7, k: 4}. What is prob of picking 1 i and 2 u?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -78461 < -470765\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*u - 11 = m, u = 3*m + 11. Let q be m + 1 - (-4)\/1. Suppose q*o + 2*o = 28. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -117 - -76.2. Let m = t + 40.5. Which is the second smallest value? (a) 2\/3 (b) -11\/6 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 8:07 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.2, -0.2, -0.03, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 5, -5, -5\/3, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3703 and 21689.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -107394120 divided by -2386536?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.5 (c) 47282 (d) 39 (e) 2\/5 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3\/2 (b) -7166 (c) 2\/11 (d) -5 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 6) to base 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d*f**5 + d*f**3 + 810*d*f - 2*d wrt f?\nAnswer: 40*d*f**3 + 6*d*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 84942, 84937, 84930, 84921?\n\"Answer: -n**2 - 2*n + 84945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*v**2 + 197*v**2 - 517418*v**3.\nAnswer: -517418*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -n**6\/360 - n**5\/24 - n**4\/6 - n**3\/2 + 29*n. Let r(o) be the second derivative of i(o). Determine r(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-2\/7)\/m*m*(m*m**(1\/4))\/m)**(-4\/15))**(-2\/3) assuming m is positive.\nAnswer: m**(6\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1100295.\nAnswer: 3, 5, 7, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**3 - 8*p**2 - 13*p - 17. What are the prime factors of h(-4)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 6:51 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2988 = 73*p - 2696. Let y = 5 - 4. What is the closest to 17\/2 in 0.3, p, y, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-10))\/((-4)\/860). Suppose 5*j + 254 + s = 0. Let q = -27 - j. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 6:15 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*h + 70. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 16*r**4 - 17628644*r**3 + 22035784*r**2 - 4407156*r = 0.\nAnswer: 0, 1\/4, 1, 1101789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -657*k**3 + 3*k + 35?\nAnswer: -3942*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8962005113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2246030 or -4492061\/2?\nAnswer: -4492061\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 14*u**2 + 15*u + 3. Let s be c(15). Let x be (-7)\/(14\/(-12)) - 8056\/1378. What is the second smallest value in -10, x, s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 54.41735 millennia?\nAnswer: 5441.735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7\/(-2))\/7*16. Let j(f) = -f**3 + 6*f**2 - 14*f - 9. Let n(c) = -3*c**3 + 13*c**2 - 27*c - 17. Let z(i) = -5*j(i) + 2*n(i). Is z(m) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 4030 + 1034 = 0. Does 21 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(65)\/(sqrt(720)*4) + 1 + (sqrt(1053) - (5 + (sqrt(1053) - (sqrt(1053) - sqrt(1053)*-4)))).\nAnswer: -1 + 2161*sqrt(13)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*g + 30*g + 49*g)*(-209 - 217 + 412).\nAnswer: -1862*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -53*y**2 - 319*y - 1. What is v(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30466\/7 + -4352. Which is the second smallest value? (a) 0.5 (b) -2\/27 (c) 2 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 + -15. Let k(l) = -l**3 - l**2 + 2*l - 5. Let p be k(-4). Calculate the greatest common factor of p and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2799 + 2646. Suppose 0 = f + 4*f - 3*t - 1158, 2*f - 2*t - 464 = 0. Let l = r + f. What are the prime factors of l?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*l + 69 = 380 + 73 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3486396244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 310 and 930?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**5\/60 - z**4\/12 + 2*z**3\/3 + 2*z**2. Suppose 0 = -7*l + 1518 + 3235. Let t = l + -676. Give f(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cpccfjffvjpvc. Give prob of picking 2 c and 1 f.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 44*o - 237. Let d(s) = 2*s**2 - 92*s - 473. Let y(l) = -4*d(l) + 9*u(l). Let p be y(35). Solve -6*t = -p*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2381 + 28. List the prime factors of t.\nAnswer: 3, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*c + 3. Let u be c*(-13 - (-1 + 0)). Let a be u\/(-66) - 240902\/11. What is a rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -96\/7 + 850\/63. Let q = -2.33 + 2.499. Let c = q + -0.089. Is c > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1549 - 436 = 7*p. Let n be 99\/6 + 1\/2. Suppose -p = n*g - 20*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5 = 2*y, 4*y + 0 = x - 1. Let s be y\/((-4)\/5)*4. Let b = -0.6 - -0.4. What is the smallest value in s, -0.4, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a kilometer in meters?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -94, -31, -33, 12 in decreasing order.\nAnswer: 12, -31, -33, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*z - 25*z - 13*z**3 - 18*z - 25*z + 12*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2261 + 460.752.\nAnswer: -1800.248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3169\/3420 + -35\/38. Let r(x) be the third derivative of -1\/18*x**3 + 4*x**2 + 0*x + 0 + 0*x**4 + q*x**5. Let r(p) = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50482533 by 580259.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 3 - -3) + 1 - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o + 34*o + 70*o.\nAnswer: 110*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 9 + 11. Let h be ((-4)\/(-1))\/(i + -4). Let s = -0.1 - 0.1. Which is the third smallest value? (a) -4 (b) s (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**2 - 1542*o + 300475 = 0. Calculate o.\nAnswer: -1717, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-33)*(30\/4)\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - -366654?\nAnswer: 366665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 76, 113, 162, 223, 296, 381?\nAnswer: 478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 39096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11659 is divided by 108?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -339598 + 103237695\/304. Find the common denominator of -41\/114 and a.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 19*o + 335. Let v be x(30). Solve 3*n + 26*p - 22*p + 15 = 0, 4*n + 20 = -v*p for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 23, -4 in ascending order.\nAnswer: -4, -2\/3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**4 - 52433696*k**3 + 343661611961244*k**2 - 687323066621408*k + 343661507093858 = 0 for k.\nAnswer: 1, 13108423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 11, s: 9}. What is prob of sequence sw?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20448)\/9656)\/(((-120)\/51)\/4)?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -73465922?\nAnswer: 73465922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 1361*p + 644*p + 720*p - 1.\nAnswer: 3*p + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -214221437, -214221436, -214221435, -214221434, -214221433?\nAnswer: -214221432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + 25\/(-5) + 1. Suppose -4*q - 2*a + 219 = -3*a, t*a + 163 = 3*q. Calculate the remainder when q is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 111\/827563 or -1?\nAnswer: 111\/827563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4 + 14*w**3 + 4*w + 3 - 2*w - 2*w**2. What is the remainder when 50 is divided by r(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 15257709.18 milliseconds?\nAnswer: 0.02522769375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 17*i**2 - 13*i - 7. Is n(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(2\/7))\/t*t\/(((t**(-1)\/t)\/t)\/t))\/((t**(-7)\/t)\/(t\/t**(-4\/11))))**(3\/5) assuming t is positive.\nAnswer: t**(3384\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-4\/5)*h**(-5\/7)*h*h assuming h is positive.\nAnswer: h**(17\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.106? (a) -0.2 (b) -2\/13 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**3 - j + j**3 + j**3 + 4*j**2 + (9 - 9 + 8*j)*(-3*j + 3*j + j**2) + 2*j**3 + j**3 - j**3.\nAnswer: 9*j**3 + 4*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 10:38 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1296.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 5:00 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83 + -59. Let c(i) = -4*i - 72. Let o be c(-22). Calculate the highest common factor of x and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22926, 18, -4 in decreasing order.\nAnswer: 22926, 18, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007361 to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21872?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -75\/7*v + 12\/7 + 18*v**2 - 27\/7*v**3 = 0.\nAnswer: 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five halves of a meter in centimeters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -518 + 517.793. Let w = f - 0.093. Put -3, 31, w in increasing order.\nAnswer: -3, w, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -42*b + 56. Calculate m(-3).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 11*p**2 + 12*p - 13. Suppose -5*y = 3*v - 65 + 22, -y = -4*v - 27. Let c = -1 + y. Let i be a(c). Is 7 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -146*u**3*y**2 + 1659*u**3 - 2*y**4 wrt y?\nAnswer: -292*u**3*y - 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52.8 - -54. Put 1\/2, -1, m in descending order.\nAnswer: m, 1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 5*y + 2. Let p(c) = c - 1. Determine h(l) + 3*p(l).\nAnswer: -l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1386?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7842 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 7. Let q = -6 + 11. What is the least common multiple of q and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 u when two letters picked without replacement from {o: 1, u: 1, n: 2, p: 1, e: 1, b: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1171*h - 29862 - 9952 for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2\/(-18) + 55475463\/1566 - 1\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1735 and 347?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64645849\/10 + -6458878. Let u = -5718 + s. Find the common denominator of (-1253)\/(-231) + -4 + 0 and u.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-14))\/(y*y*(y**(-22)*y*y*y)\/y*y))\/(y**3*y**(-14\/5)) assuming y is positive.\nAnswer: y**(19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19245.\nAnswer: 3, 5, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -15160?\nAnswer: 1\/7580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 5*l + 4. Let y be k(-5). Suppose -3*o - y*m = 100, -o - 2*o + 2*m = 130. Let p = -32 - o. Calculate the greatest common factor of 16 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 153608, 153584, 153560?\n\"Answer: -24*f + 153632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -200 + 204. What is the remainder when p is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 6*i = -12, 5*i + 9 = 3*p - 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.66983865 rounded to three dps?\nAnswer: -14.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, -2, 0.0803 in ascending order.\nAnswer: -2, 0.0803, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328734 is divided by 82181?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7120 in 2\/3, 0.1, 0.4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2508 and 264?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 39*f**2 - 78*f + 1602. Determine y(-36).\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-5))\/((-1161)\/(-1935))*3\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1000 = -24*v + 49*v. Does 7 divide (56\/v + -2)*-1135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 2\/(-4))\/(6\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/18)\/((-10)\/(-75))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 3*i**4\/8 + 3*i**3\/2 + 5*i**2 + 57*i. What is z(5)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l**3 - 31*l**2 + 152*l + 3. Let i(x) = 4*x**3 + 29*x**2 - 152*x - 2. Let f(n) = -3*i(n) - 2*t(n). Find the second derivative of f(k) wrt k.\nAnswer: -12*k - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0151205936 rounded to four dps?\nAnswer: -0.0151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - y**3)*(-2*y + 5*y - 2*y) + 11250*y**3 - 11250*y**3 + 530*y**4 - 2 + 2 - y**4.\nAnswer: 528*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qe when two letters picked without replacement from dqdfe?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8479?\nAnswer: 61, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 8*y**3 + 4*y**2 + 4*y + 3. Give k(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + z - 80*z**2 + 75*z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54176306 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*a + 16*a - 333 = 0 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19.298 and -104.2.\nAnswer: 2010.8516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 82*k**3*n + 9*k**3 - 2*k*n**4 + 2*k*n - 8 wrt n?\nAnswer: 82*k**3 - 8*k*n**3 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 + 5\/(-2) - (-301)\/35 and -19\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -3\/2, -0.32, -0.1, 1.603, -2?\nAnswer: 1.603","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 826170.4m to millimeters.\nAnswer: 826170400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -3, -32, -133 in decreasing order.\nAnswer: 9, -3, -32, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9229 and 2024507.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 1a69?\nAnswer: -1a65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 0.002119.\nAnswer: -0.0008476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.59 + 0.41. Which is the second smallest value? (a) h (b) -5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/7*w**2 + 276\/7 + 274\/7*w = 0.\nAnswer: -1, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -75598*b**2 - 9544*b + 3.\nAnswer: -151196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4127*g**2 - 4*g + 7327. Let r(u) = u**2 - u - 40. Let z(c) = -d(c) + 4*r(c). Differentiate z(w) wrt w.\nAnswer: -8246*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4151769*c**2 + 0*c**3 - 2*c**3 - 2938247*c**2.\nAnswer: -2*c**3 - 7090016*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**3 + 21*v**2 - 174*v + 10. Let f be d(7). Suppose 94*o = 77*o + f. Calculate the remainder when 158 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 41 = 2*d. Suppose c - d = -18. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 80 - 50 = 0. Let r = l - 63. Solve 5*i - 4*s + s = 17, -r*i = s + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -253, 38, 0, 6 in descending order.\nAnswer: 38, 6, 0, -253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 829 + 495*x**3 - 829.\nAnswer: 495*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75*z - 3 + 1 + 91*z + 0 to g + c*z and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -270*d**5 - d**4 + 266*d**2 - 3*d wrt d.\nAnswer: -16200*d**2 - 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/2 - (-33)\/6. Suppose -m*x + 80 = 4*z, z + 5*x - 4 + 0 = 0. Let n(d) = -24*d - 49. Let h be n(-3). Is h not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7299 + 7299 + 35*o**3 - 41*o**3.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**4 + 4120*b**3\/3 - 2222300*b**2\/9 + 34505000*b\/9 - 140281250\/9 = 0.\nAnswer: 25\/3, 335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(((-53808)\/855)\/(-118))*(52\/(-3))\/2?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 12:28 AM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.788 + 7.65. Let u = 3.8 - o. What is u rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 86 and -0.2256.\nAnswer: 85.7744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/2376 and -91\/24.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 688*h - 1151*h + 490*h - 662*h**2 - 53*h**2 + 414*h wrt h?\nAnswer: -1430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 68)*(-33)\/(-1089)*(-44)\/(-24)?\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o - 1. Let k(p) = p**2 - 2*p + 9. Let y(i) = 4*c(i) + k(i). Let n = -2 - 4. Let w be y(n). Solve 4*q + q = w for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 12, 0.2, 5, -177.5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 18. Suppose -u*z = -16 + 8. Is (-3)\/3*(z - 703) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4299.\nAnswer: 3, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/8)\/(z*z\/z**(-1\/4)))\/(z**(-3\/5))**36)**12 assuming z is positive.\nAnswer: z**(2307\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.00186033 - 0.00189. What is z rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a7881 (base 13) in base 11?\nAnswer: -65416a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2 - 19*b + 120. Let j be 2\/(-16) + (-5874)\/(-528). Is 8 a factor of t(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -798923486 - -81.6.\nAnswer: -798923404.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1957, -1948, -1935, -1918, -1897, -1872?\nAnswer: -1843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 6*g**2 + 61*g - 366. Let o be a(7). Solve 15*w = -o*w - 27 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 7:59 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m*v**4 + 7*m*v**3*z**3 - 6*m*v*z**2 - 2*v*z**3 + 1 wrt v.\nAnswer: -24*m*v**2 + 42*m*v*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -43, -0.05, 1\/3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 17*w**2 + 39*w - 2. Let m = -160 + 176. What is the units digit of x(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 2:22 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*j - 45*j**3 + 2*j**3 - j + 11 + 5*j**3 wrt j?\nAnswer: -228*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12*133\/760)\/((-8)\/(-130)))\/(189\/(-252)).\nAnswer: 91\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 17*j**2 + 38*j - 9. Suppose -2*p - 2 = 18. What is the hundreds digit of v(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3397 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 15*i - 6. Give c(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20.728 + -14.88. Round i to one decimal place.\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*x - x + 6 = 0, 4*d + 3*x = -9. Suppose d = -s - s. Suppose 4*r + s*r = 28. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g**5 - 18962*g**4 - 308*g**2 - 1157*g - 78395.\nAnswer: -60*g**3 - 227544*g**2 - 616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**3 + 2 - t**3 + 8 + 0.\nAnswer: 4*t**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(432) - -3*(-1 + sqrt(432))) + (sqrt(432)*-3 - sqrt(432))*4 - (1 + -1*sqrt(432)*-5)) + -1)**2.\nAnswer: -499492 - 8160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 38374 or 2302373\/60?\nAnswer: 38374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6*-21476307\nAnswer: -128857842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.4 in -4, 3, -3833.6, -4\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -117*x + 2. Let o(i) = 468*i - 9. Give -9*h(n) - 2*o(n).\nAnswer: 117*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*q**2 - 20*q**2 + 10*q**2)*(-8 + 8 - 2*q**2) + (2 - 2*q - 2)*((0*q**2 - 3*q**2 + 2*q**2)*(-1 - 2 + 1) - q**2 - q**2 + 22*q**2)*(3*q - 3*q + 2*q).\nAnswer: -82*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 2*v = 5, -4*k + 153*v = 157*v + 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05251558 rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x - 63. Let q be l(-15). What is the fourth smallest value in -0.4, -3, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 2641586\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1830*a - 11 + 63 + 1817*a + 59 to f*a + s and give s.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3117, 6213, 9301, 12381, 15453?\nAnswer: 18517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 4*b = -16 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.5 + -3.8. Let x = 1.06 + -1.06. Which is the smallest value? (a) x (b) y (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = j + 2*z - 7*z, 2*j + 4*z - 24 = 0. Let t(w) = -2*w**3 - 3*w**2 + 2*w + 1. Give t(j).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000000101000011 (base 2) in base 7?\nAnswer: -165322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 412076345 to the power of 1\/2, to the nearest integer?\nAnswer: 20300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8\/12*6\/2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1796 + 1841. Let j be d\/30 - 1\/4. Factor 1\/2*f**2 - 1\/4*f**5 - f**3 - f**4 + 1\/2 + j*f.\nAnswer: -(f - 1)*(f + 1)**3*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 9 = -5*g + 4*a, -12 = -3*a. Let p(l) = 3 - 4 - 5 - 1 - l**g + 6*l**2 - l**2. Let o(i) = i**2 - 1. Give 4*o(h) - p(h).\nAnswer: h**3 - h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (10 - -5) + 0 - 8\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89690 is divided by 5107.\nAnswer: 2871","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61330.5 + 5398.5. Let i = 66846.134 - h. Let a = -117 + i. What is a rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 6 = -2*z + 5*s, z = 2*s + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6808081110.\nAnswer: 2, 3, 5, 173, 1311769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87154612.\nAnswer: 2, 21788653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 392, 879, 1560, 2435?\nAnswer: 3504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2266*y**2 + 1533*y**2 + 739*y**2 + 838*y.\nAnswer: 6*y**2 + 838*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10194 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(1\/2)*a**3)\/(a**1)**(-7))**(-5) assuming a is positive.\nAnswer: a**(-105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -765*q**2 + 3*q**3 + 765*q**2 + 19*q**4 + (-1 + 1 + q)*(-q**3 + q - q) + 2*q**4 + 3*q**4 - 6*q**4 as s*q**4 + c*q**3 + x*q + g*q**2 + t and give s.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/(-30) - (-20)\/(-6)*-11. Differentiate 2 - 28 + 8*g**2 - y*g**2 wrt g.\nAnswer: -56*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7, 31, 55, 79, 103, 127?\n\"Answer: 24*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 6*b - 3. Let w be d(-7). Let x be -5 + w + 3 + -2. Solve -10 = p + 2*m, x = -p + m - 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 7:46 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 100011100 (base 2) to base 7\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -2) + 3 - (-2 + -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 834927.\nAnswer: 3, 211, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000105708 rounded to 7 dps?\nAnswer: -0.0000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and 317.\nAnswer: 317.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178266829.\nAnswer: 13, 13712833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2103 + -313?\nAnswer: -2416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/47010 and -65\/1142343?\nAnswer: 11423430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**3\/4 - 1079*g**2\/2 + 290520*g + 583200 = 0.\nAnswer: -2, 1080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1405738243?\nAnswer: 7, 13, 163, 94771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 198 or 0.24236?\nAnswer: 198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/19 - -23\/76. Which is the nearest to l? (a) 2\/7 (b) 11 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -49. Let x = h - -61. Let c = -44.9 + x. What is c rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/7))**(2\/19)*s**(-2\/9)\/s**9 assuming s is positive.\nAnswer: s**(-11075\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -618\/431 in -7, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 23051 (base 6) to base 7\nAnswer: 12352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3247785 and 761064285.\nAnswer: 2283192855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34829556 is divided by 8707386?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 210841781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 830260998?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6250516 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/732 and -89\/366?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 76303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 10.4, -8, -460, 3\/4, 0.4.\nAnswer: -460, -8, 0.4, 3\/4, 3, 10.4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-4)*(46 - (4 + -4)). Calculate the highest common divisor of s and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055 greater than or equal to 1055?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4cd14 (base 14) in base 3?\nAnswer: 100121110212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*h + 24*h - 0*h - 24. Solve 5*m + 12 = 2*m, m = 4*v - h for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z + 3 + 11 = 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4 + 580*m**3 + 100725*m**2 + 4551750*m.\nAnswer: m*(m + 70)*(m + 255)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3343260, 3343369, 3343478, 3343587?\nAnswer: 3343696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 10*f**5 + 16494*f**4 + 186216*f**3 - 844832*f**2 + 616128*f + 393120 = 0.\nAnswer: -1638, -15, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a - 43. Let d be t(9). Let m(y) = 3*y - 20. Let s(w) = w - 7. Determine d*s(j) - 4*m(j).\nAnswer: -j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-5) + (0 - -71). Let q = n + -50. Calculate the smallest common multiple of 8 and q.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7061 (base 9) in base 16?\nAnswer: -1426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1294 - 643 - 651 + 2*r**2 - 4*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -909*m - 92717. Determine q(-102).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 7:23 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50 (base 14) to base 4.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 16*f - 5. Give j(-6).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 89 = -30*d - 3*c, c = 3*c + c - 93 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2703*y**3 - 150 + 1521*y**3 + 1332*y**3 wrt y.\nAnswer: 450*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/2153 or 1?\nAnswer: -6\/2153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5478016 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -5, 0, -1, -3 in descending order.\nAnswer: 0, -1, -3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/2 + 2\/4. Suppose 4*f + 28 = 2*r, -f + 6*f = -3*r - 13. Suppose -o = t*x + 2*o - 23, r*o = x + 18. Does 2 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 1001111?\nAnswer: 1010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/7 - 4047*l - 53260596\/7.\nAnswer: -3*(l + 2591)*(l + 6852)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (12 + -8) - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 19*o. Let y(v) = -904501*v. Determine c(y(l)).\nAnswer: -17185519*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t - 266*t + 9730 = 28*t - 22*t for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**4\/4 + 705*o**3\/4 + 715*o**2\/4 - 705*o\/4 - 355\/2 = 0.\nAnswer: -1, 1, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 10 = -4*r. Let x = 6 + r. Factor 4*o + o**x - 3*o + 0*o**2.\nAnswer: o*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 409099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -0*r + 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17653 is divided by 194.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6271 is divided by 196?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-10)\/60 + (-2)\/8*-2. Factor o + 15\/4*g - 3\/4*g**3 - 3*g**2.\nAnswer: -3*g*(g - 1)*(g + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 183313\nAnswer: -3\/183313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(1\/4)\/v*v*v))**(-2\/9)\/(((v\/(v**1*v))\/v)\/(v*v**(2\/15)*v))*((v\/v**(2\/7)*v)**(-9\/2))**45 assuming v is positive.\nAnswer: v**(-216061\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.023837174 to four dps.\nAnswer: -0.0238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18*(-59)\/118*(-19 - -1). What is the greatest common divisor of 2322 and a?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1645 = 129*o - 0*o + 106*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 12 = -2*b, -2*b + 2*o - 6 = 6. Let c(m) = m**3 + 7*m**2 + 5*m + 4. What is c(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275*x - 24*x**3 + 275*x - 36*x**3.\nAnswer: -60*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**2\/4 - 55*l\/4 + 284 = 0.\nAnswer: -71, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2990.12263 - -7088.\nAnswer: 10078.12263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18\/10)\/(-3) - 4\/110*-1199. Solve 81 + 48 = a*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -215 at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*q - 2*q + 945. Let x be (-5)\/(-9) - (-30)\/q. Which is the third biggest value? (a) x (b) 4 (c) 0.2 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7074693 to the nearest integer?\nAnswer: 2660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -19*a - 20. Let s(f) = -18*f - 22. What is 5*i(n) - 4*s(n)?\nAnswer: -23*n - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -12*((-15)\/9 + 1). Let w(x) = x**3 + 27*x**2 + 27*x + 35. Let u be w(-26). Suppose 0 = u*r - 7 - 29. Calculate the highest common factor of d and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*r**3 - 69306*r + 69306*r.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*z = 24*z. Solve 3*f + 9 = 3*c, 0 = -z*c - 2*c + 3*f + 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 1:26 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5ebf9 - -2?\nAnswer: -5ebf7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 469899977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 5*a + 5*i - 338, 4*a - 5*i = 277. Let p = -63 + a. Solve p*l + 29 = 4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.48355 and -0.79.\nAnswer: -2.27355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6823*t = 6820*t + 57522. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 24 = -q. Suppose -3017*y = -3016*y - 19. What is the remainder when y is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 264 - 261. What is the closest to 9\/5 in y, 4, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/15264 and -151\/5760.\nAnswer: 305280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 12 = 4*j - 0*y, -4 = -3*j + 4*y. Let c be j\/12 + 170\/6. Let s = -15 + c. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, d: 2, o: 2}. Give prob of sequence dp.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -96, -93, -98, -111?\n\"Answer: -4*o**2 + 15*o - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -87*l - 71. Suppose -23*v - 144 = v. List the prime factors of c(v).\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -612635.5948?\nAnswer: -612630.5948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - k = -4*v - 177, -3*k = -3*v - 171. Let i(x) = 98*x**2 - 2*x + 1. Let y be i(1). Let q = y + v. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 930846 - 10230102\/11. Let g = d + -836. Factor 4\/11*b**3 + 2\/11*b**4 + g - 6\/11*b**2 - 8\/11*b.\nAnswer: 2*(b - 1)**2*(b + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 9. Suppose -q = -2 + 6, 0 = m*g + 4*q - 8. Let s be (-6)\/(-1)*9\/g. Solve -3*u = -s + 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.38 + -0.08. Let n = c + 5.7. Let v = n + -8. What is the second smallest value in v, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -k**6\/20 - k**5\/60 + k**4\/24 + k**3\/6 + 2*k**2 + 2*k. Let x(z) be the first derivative of p(z). Give x(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 4:43 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 1599*x - 13. Let l be k(0). Put -271, l, 2 in ascending order.\nAnswer: -271, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*l**2 - 8*l**4 + 13*l**4 - 4*l**4 - 64 + 0*l**4 wrt l.\nAnswer: 4*l**3 + 22*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22\/9 or -2?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y + 16. Let f(d) = 4*d + 80. Let w(j) = 11*c(j) - 2*f(j). Let x be w(-4). Let p be -3*(x*4\/8 - 3). Solve 5*a - 2*a - 6 = -p*l, 5*l - 2 = -a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**4\/4 + m**3\/6 + 2*m**2. Is q(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 83, 0.4, 0.3, -3\/29?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j - 21. Let q(u) = 3*u + 8. Let h(k) = -3*a(k) - 7*q(k). What is h(4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -w + 362. List the prime factors of w.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, 4.265588, -2\/11 in ascending order.\nAnswer: -2\/11, -2\/15, 4.265588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 - 15*s**2 + 33*s - 17.\nAnswer: -(s - 1)**2*(s + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/18 and -151\/2304.\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4 + (sqrt(1300) - (sqrt(1300) + 0 - sqrt(1300))**2).\nAnswer: 7 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 16\/7 + 12\/7*j**2 + 2\/7*j**3 + 24\/7*j = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lz when two letters picked without replacement from {z: 2, l: 3, w: 5}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, j: 1, r: 1, q: 1, k: 1, n: 2}. Give prob of picking 1 r, 1 k, and 1 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9564, -9566, -9568, -9570, -9572, -9574?\n\"Answer: -2*t - 9562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 10692*l + 15325. Let k(c) = 32075*c + 45953. Let a(h) = 3*k(h) - 10*n(h). Differentiate a(o) with respect to o.\nAnswer: -10695","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -388 - -383. What is the nearest to 0 in o, -4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*k**3 - 12460*k - 3*k**3 - 1712*k**5 - 2890*k**5 + 21*k**3 wrt k.\nAnswer: -92040*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c + 8. Let w be z(14). List the prime factors of (w\/(-4))\/(3\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38 by 4598684.\nAnswer: 1\/121018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 0, -5, -24, -63, -128, -225?\n\"Answer: -b**3 - b**2 + 5*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v**2 - 649*v - 5. Let u(w) = 24*w**2. Give p(u(x)).\nAnswer: 1728*x**4 - 15576*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3.6 * 39\nAnswer: 140.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.9886 rounded to 1 decimal place?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2852 and 744.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cd when two letters picked without replacement from {s: 2, c: 6, d: 1, t: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b1010 - -5?\nAnswer: -b100a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) -0.6 (c) -4\/5 (d) 0.32 (e) 0.288 (f) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 4*m - 1. Let f be n(5). Let h = f - -8. Find the third derivative of -6 - g**h + 6 - 2*g**3 wrt g.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239423 is divided by 333?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9c (base 16) to base 6.\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4716, -9404, -14092, -18780, -23468, -28156?\nAnswer: -32844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 46*t**2 - 25*t + 1019. What is s(46)?\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + z - 3*z)*(-36 + 36 + 13*z**2).\nAnswer: -39*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00819 to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-4\/13)*l*l*l*l**(-1\/13))**(2\/5) assuming l is positive.\nAnswer: l**(24\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/15 and -4\/54135?\nAnswer: 54135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 5, 13, -17.\nAnswer: -17, -2, 3, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29878*h + 127850 = -29853*h. What is the remainder when h is divided by 64?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 5*l - 1. Let n be j(-5). Calculate the remainder when (-4 - -5)*(39 + 2) is divided by 0 - (-12 - (4 + n)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) -1\/3024 (c) 2 (d) -3 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2650 divided by 4.\nAnswer: 1325\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*((-39)\/9 + 3). Let m(i) be the second derivative of -3*i**5\/20 + i**4\/4 - 5*i**2 - 314*i. What are the prime factors of m(p)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/108 and 3\/4.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1141\/326*1\/((-21)\/120).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10774 + -18644. Let w = d + 29423.9995. Let a = -6 + w. Round a to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548 is divided by 194?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b - 17. Give k(6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(300) + 1 - sqrt(300) - sqrt(3)))**2.\nAnswer: -32*sqrt(3) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 0 - -2*2. Let g(v) = 15*v + 10. List the prime factors of g(z).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-119)\/51*1*(-162)\/63.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.91 + 12.04. Let b = -14 + g. Let z = 0.04989 + b. What is z rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) 0.1 (b) 39\/58 (c) -2 (d) -4 (e) 5\/2 (f) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -66*a - 7. Let c(i) = 131*i + 17. What is -3*c(f) - 7*h(f)?\nAnswer: 69*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*a + 17*a + 24*a + 16*a - 114*a + 14*a.\nAnswer: -26*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 3*l + 5*l)*(2*l - 3*l + 2*l) + (85 - 26*l - 85)*(2*l - l + l) - 2*l**2 + 4*l**2 + l**2 - l**2 + 4*l**2 - 2*l**2.\nAnswer: -47*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 244952685?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 638, 2096, 4532, 7946, 12338, 17708?\n\"Answer: 489*k**2 - 9*k + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/6*765\/15.\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 197, 195, 191, 185?\n\"Answer: -m**2 + m + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x + 21 = -23*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0385575 and 0.44.\nAnswer: 0.4014425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - (-138)\/(-30) - 28\/(-5). Suppose 30 = 8*j + y. Suppose a = -0*a - 5*n + 58, 2*a = j*n + 129. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (8 - 10)) + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 3 + 1 = -l, -2*l = -4*z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 60\/(4\/(-2))*(-656)\/205. Let b(w) = g - 57 - 113879*w - 7. Let v be b(8). Round v to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 536\/7, 2, -2, 3\/13, -0.5?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-7)*(-77)\/(-33).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 27934, 112842, 254740, 453634, 709530?\n\"Answer: d**3 + 28489*d**2 - 566*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 12\/(-42)*(4 - -3). Suppose -75*f + 77*f = -2*i + 80, t = 4*i - 5*f - 178. Let j be 63*(2 + -1)\/1. Calculate the highest common divisor of j and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 5:39 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 438?\nAnswer: 43d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000867196 to six decimal places.\nAnswer: -0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + 637. Suppose 4*c - c + 3*k = x, -c - 4*k + 214 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 273037 + -1.6.\nAnswer: 273035.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 6) to base 3\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(1 - 4\/8). Suppose 72*z + 8 = 71*z. Let q = c - z. Does 4 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 1. Let u(n) = n**2 - 7*n - 2. Calculate 2*b(q) + u(q).\nAnswer: 3*q**2 - 7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 330 - 73 = -5*o, -3*o = 3*j - 582. Let z = j + -119. Let x = z + -51. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4455)*2 + sqrt(4455) + 2*sqrt(5500))\/(-2*(sqrt(1584) - sqrt(1584)*-3*2)).\nAnswer: -47*sqrt(5)\/168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20218, -40434, -60650, -80866, -101082, -121298?\n\"Answer: -20216*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3*(77\/14)\/11\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*z**4 + 2287*z**3 - 6*z**2 - 7798*z wrt z.\nAnswer: 456*z + 13722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.05002 - 0.04998. Let q = -1 - -1.1. Let p(s) = s**3 + 7*s**2 + 6*s + 5. Let u be p(-6). What is the nearest to q in u, g, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u - 2*u + u + (-8*u + 13 - 13)*(-112 + 42 - 111).\nAnswer: 1447*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 3*q + c + 15, 5*c = -q + 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1136 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 50797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -17321*p**2. Let y(l) = 1291*l. Calculate y(r(f)).\nAnswer: -22361411*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -1634 - 940. Find the common denominator of 3497\/k + 0 + (-2)\/6 and 3\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138617948 a multiple of 929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-44)\/(-8) + -3)*38798\/95?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from ocvcuv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22120122 - 0?\nAnswer: 22120122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.31 - -0.024.\nAnswer: 0.334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.506*-310.1\nAnswer: 156.9106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -7*l, -2*h + 4*l + 10 = 0. Let d = h - 9. Let y(k) = k**3 + 5*k**2 - k + 4. Is 8 a factor of y(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79078277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 6:01 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -540663?\nAnswer: 540661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12622 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j. Suppose 2*z + 4*p = 12, 0 = -0*z + 4*z - 2*p + 6. Let q(t) = -4*t + z*t + 7*t. What is x(q(g))?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1712*d**3*m**3 + 4554*d**2*m**3 - 36449098*m**3 with respect to d.\nAnswer: -5136*d**2*m**3 + 9108*d*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 w when two letters picked without replacement from wjhww.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4192 is divided by 1397.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 40*m. Let r be p(2). Let k = -41 + r. What are the prime factors of k?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - (-6 + 7 + -6). What are the prime factors of 1120 + -3 + 6\/c - -3?\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**7\/105 - 11*y**5\/30 - 15*y**3 - 67*y**2 + 3*y. Find the first derivative of o(t) wrt t.\nAnswer: -8*t**3 - 44*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -117443275 < -117443276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374723949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 2:29 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43991127.\nAnswer: 3, 761, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 200 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 12 = -2*n + 27, 4*i = 2*n + 30 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -175545*t**4 - 73*t**3 + 22685056*t**2 wrt t?\nAnswer: -4213080*t - 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -23 - (22 - 64)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y - 10. Let v be r(-3). Suppose v*m + 1114 = 3*h + m, -2*m = 3*h - 1102. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/16)\/(193550\/(-530880))?\nAnswer: 60\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8588 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0 = 13*t - 96, -3*t + 3*b + 36 = 0. Solve 7*r - t*r = 3, 5*j - r = 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64 + 68. Let f = -7596 - -7606. Calculate the remainder when f is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -10938*w**4 - 8*w**3 - 42*w**2. Let u be k(-4). Round u to the nearest ten thousand.\nAnswer: 1050000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 14*b**2 + 14*b + 145. Let g be t(12). Solve -3*c - g = -10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5\/(-10))\/(2\/(-164))?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13121.\nAnswer: 13121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * 40\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.42 - -37.08. Let k = 38.49999386 - w. Round k to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -648667, -3, -1 in descending order.\nAnswer: -1, -3, -648667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 10*m**2 - 11*m - 4. Let b be g(11). Let j be (-63)\/(-6) - 2\/b. What is the greatest common divisor of 55 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-6)*1)\/((-18)\/(-108)). Suppose r - d = d + 9, -3*r + w*d + 23 = 0. Suppose r*l = -6*l + 494. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44301\/2 + -22150. What is the fourth biggest value in -3\/11, 1, 3\/32, n?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 2*h**2 + 4*h - 1. Let k(m) = -2*m**2 - 8*m + 7. Let d be k(-5). Give g(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -61913.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -543*z + 268*z + 274*z + 2. Suppose d - 9 = -2*d. Give t(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(0*u - 3*u + 2*u)*(-76*u**2 + 5031*u - 5031*u).\nAnswer: -76*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4255068*p**3 + 4*p**2 + p - 294053 wrt p?\nAnswer: 25530408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u - 4*u + 4*u + 6 - 7*u in the form h + m*u and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -11853 (base 15) to base 13\nAnswer: -1c584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*(205\/41)\/5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -88 - -151. Suppose 13 - d = -5*q. Calculate the highest common divisor of 80 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 20 = 0, c - 1 = -5*a + 16. Is (2247 + 2 - c) + (2 - -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/34, -5, 8?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3179139 is divided by 49.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-23)\/(-6) + (-6)\/(-36). Solve -a*b + 20 = -0, 3*p + b - 8 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/14 - (-96)\/42. Solve 5*c - 6 = -5*h + 9, -4*h = r*c - 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 4:56 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/7)\/(((-21)\/(-3))\/(-147))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 684*c - 352*c - 13456 = -1391*c - 4841 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -103 + 109. Suppose 0 = m*v - 3*v - 9. Suppose -v*d = -5*d. Solve d = 4*f - 4 - 8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1769281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 11*w**3\/3 + 63*w. Let r(b) = 7*b. Calculate -8*r(d) + 3*x(d).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 763187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 5. Suppose -5*t = -2*a - 15, 2*t - 10 = 3*a + 7. Calculate the remainder when ((-1)\/i + 0)*2 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence asi when three letters picked without replacement from iaaaiiaisisa?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8431 divided by 15518?\nAnswer: 8431\/15518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/(-8))\/((-5)\/20000). Round v to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - -92 - (0 + 1). Let x = t + -85. Suppose -x*n - 165 = -570. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3479\/3 - -1160. Let v(d) be the second derivative of 28*d + 1\/2*d**2 + y*d**3 + 1\/6*d**4 + 0. Give v(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 146, 29, 276 in decreasing order.\nAnswer: 276, 146, 29, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l - 15*l - 38*l = 40*l. Solve l = -31*c + 40*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/285*(-50)\/12*40\/(-50)?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(2\/2) + (-1830)\/(-2)*370\/5550.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o = -30*o + 4*f + 44, 44 = -6*o + 3*o - 6*o - 4*f for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k + 30. Let p(t) = 2*t + 10. Let z(l) = 3*o(l) - 8*p(l). What is z(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in 0.019, 2\/5, -0.3, -1?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3 + 1 + 3*sqrt(117))**2 - -1*((sqrt(117)*-1 + -4)**2 - (sqrt(117) + (sqrt(117) + 2 - sqrt(117)) + 0)).\nAnswer: -105*sqrt(13) + 1233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.96 + 0.04. Which is the second smallest value? (a) h (b) 2\/13 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + -0.1. Let v = s + 0.1. Let d = 1305.9 - 1306. Is d at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 108*t**3*v + 2150*t**3 - t**2*v - 6*t*v + 871*t + 30*v + 11 wrt t?\nAnswer: 648*t*v + 12900*t - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3\/3 + 316*a**2\/3 + 2120*a + 2016.\nAnswer: 4*(a + 1)*(a + 36)*(a + 42)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1948 + -1948. Which is the nearest to s? (a) 2\/223 (b) -4 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 9 + 16. Suppose j = 4*z - 20, 4*j - u*z + 20 = -4*z. Which is smaller: -45\/13 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/16 in 1\/8, -1, -4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33878991947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 = 91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -1637.6.\nAnswer: 4912.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2945*t + 574782 - 165427 = 0 for t.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 39, 58, 77, 96, 115?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31327, -62620, -93839, -124948, -155911, -186692, -217255?\nAnswer: -247564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((9\/(-21))\/(220\/(-14)))\/((-8)\/5). Is 0 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103114, 103305, 103496, 103687, 103878, 104069?\nAnswer: 104260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3736793 to the power of 1\/2, to the nearest integer?\nAnswer: 1933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 5, 3.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2624932 = -223*u + 21629321 + 37483520. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/570 and 61\/281508?\nAnswer: 26743260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (97 - 1)\/(1 + 0). Let v(t) be the first derivative of t**4 + 2*t**2 - 8*t - 38. Let d be v(2). What is the greatest common divisor of l and d?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 187\/(-2) - 55\/22. Is j <= -96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 750206733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155.344 centuries to months.\nAnswer: 186412.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 1, -0.5, -2\/3, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1985\/4 - -496. Which is the second biggest value? (a) j (b) 0 (c) -1\/2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ntnntngntnngnnnnn. Give prob of sequence gn.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*x + 54*x - 51*x**2 - 1.\nAnswer: -51*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3162 and -0.5?\nAnswer: -1581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.0269 (b) -0.2 (c) 49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -627*f**2 + 3859*f.\nAnswer: -1254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.065 - -12.09.\nAnswer: 11.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8508731 and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 + 86. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 - (4 + (-106)\/10) and ((-106)\/(-6))\/((-8)\/6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/8 - 34\/(-8). Solve -m = -h, -o*m + 1 = 4*h - 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 21, 13, -1, -15, -23?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n + 18613 - 37220 + 18610.\nAnswer: n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 4*o + 24. Let b(u) = -u**3 + 3*u**2 + 2*u + 2. Let y be b(3). Let m be d(y). Let i = 225 - m. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2594 is divided by 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(-1\/5))\/(f\/(f\/(f*f**(1\/5)\/f))) assuming f is positive.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**5 - 4*f**4 + 5*f**3 - 2*f**2.\nAnswer: f**2*(f - 2)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1846 = -36*y - 190. Suppose 0 = 5*c + m + 4*m - 55, 5*m - y = -4*c. Calculate the remainder when 12 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 - (0 - -4)) + -186. Let o = j - -190. What is the remainder when 98 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (8 + -16) - ((11 - 24) + -32).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*((-105)\/9 + 3). Find the second derivative of -v*g + 76*g**2 + 95 + 169*g - 97 wrt g.\nAnswer: 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 g when two letters picked without replacement from gggfeevbg.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 divided by 846?\nAnswer: -55\/846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.3 (b) -0.1 (c) -2\/3 (d) -2.1 (e) 1051\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 27 = d. Let y(i) = 1. Let w(p) = -p - 5. Determine d*y(t) - w(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2507 rounded to the nearest one hundred?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*v**2 + 60*v - 60*v - 2)*(9*v**2 - 3 - 9*v**2 - 15*v**2) to l*v**4 + o*v**3 + u + s*v + j*v**2 and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 5, -0.4, 2\/13, 1\/8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 96*v + 1336. Let r be l(79). Sort 19, r, 0.\nAnswer: r, 0, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(3\/2)*t)\/t*((t*t**(-5))\/t)\/t)**(-6\/25)\/((t**4*t**5)\/((t\/t**(2\/5))\/t)**(-26)) assuming t is positive.\nAnswer: t**(62\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3 + 1. Let c = -94 - -96. Find the first derivative of -n**s - 2*n**c + 6*n**2 + 8*n**2 + 9 wrt n.\nAnswer: 22*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 31868727747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 2*k + 2*k)*((k + 0*k + 0*k)*(0 + 0 - 2) + (0 + 0 + 2)*(k - 3*k + 7*k) + k + 3*k + k)*(11 - 9 - 26).\nAnswer: -624*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4 - 22 = -5*r, 12 = 4*r. Let x be (-12)\/18*30\/(-4). Let h be (-17)\/6 + (-8)\/48. Put i, h, x in increasing order.\nAnswer: h, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -303, -6\/179, 8, -3, -1\/5?\nAnswer: -303","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16184 and 298928.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1983614953 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 7*v - 5. Let x be n(4). Suppose 17 + x = 6*i. Suppose 3*w - 88 = -i*r - 2*w, r + 5*w - 7 = 0. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13.9 - -126.9. Let j = c - 55. Let i = 58.000165 - j. Round i to five dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 239834533?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4745168 = 3*z + 3976321. Let o = -6007163 - z. Round o to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -565 + 570. Sort -0.5, 2.1, j, -0.2 in descending order.\nAnswer: j, 2.1, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8262, 33239, 74886, 133209, 208214, 299907, 408294?\n\"Answer: h**3 + 8329*h**2 - 17*h - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 54. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -140051305763551\/149620853351730 + -58\/1532843493. Let u be 24\/20*11\/454. Let x = q - u. What is the common denominator of x and -11\/20?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 13*u. Let r be a(-13). Suppose -3*b = x - 223, 6*b - 2*b - 5*x - 329 = r. Suppose -20 = -4*w + b. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 37*x**2 + x - 4 + 5 + 636*x**2. Let h be ((2 - -1) + -5)\/(-2 + 4). Is k(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**4*j - 216*c**3*j - 5*c**2*p + 270*c*j*p - 2*c*j - c*p wrt c.\nAnswer: -12*c**2*j - 1296*c*j - 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -24, -285, -990, -2361, -4620, -7989?\n\"Answer: -37*z**3 - 2*z + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -373*q**3 + 4*q**2 + q - 4. Let c be o(1). Is c bigger than -373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 5*b + 780 = 0. Suppose 403*x = -r + 407*x - 160, -5*r - 37*x - 743 = 0. Is r equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21586 + 397*t + 21586)*(-4 + 1 - 15).\nAnswer: -7146*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 6*u - 3. Let v be o(-6). Let r be -2 + (-2)\/v*3. Suppose t - 9 = -r. Calculate the remainder when 61 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 u, and 1 p when four letters picked without replacement from {p: 11, g: 3, u: 1, c: 3, e: 1, z: 1}.\nAnswer: 11\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of f**6\/45 + f**5\/15 + f**4\/18 - 9*f. Factor r(s).\nAnswer: 2*s**2*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 172 and 62236.\nAnswer: 2676148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7009384)\/(-30) + 15\/(-5) - 3. Let z = j - 233794. Let p = z - -154. Which is the third smallest value? (a) 3 (b) -1\/3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 3*n - 5*n - 10, 0 = 3*n + 3*x - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*i = -216 - 45 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 4*f - 4*f + (-3*f + f + 0*f)*(0 + 4 - 3))*(-38*f + 11*f - 5*f)*(-f - 3*f + 6*f)*(4*f + 0*f - 2*f).\nAnswer: 128*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1743*g**4*q**3 - 30*g*q**2 + g*q + 6*q**3 wrt g?\nAnswer: 20916*g**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111110 - 100001010001000?\nAnswer: -100001110000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0513 - -0.03046. What is z rounded to 3 decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a milligram in micrograms?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 4.9. Which is the fourth biggest value? (a) 0 (b) 0.2 (c) 2 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*o + 2 + 6, -5*o = -3*g + 7. Let j(y) = -3*y**3 - 15*y**2 - 2*y - 5. Let p(l) = l**3 + 8*l**2 + l + 2. Give o*j(f) - 5*p(f).\nAnswer: f**3 - 10*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -313, -2, -1, -5, -6.\nAnswer: -313, -6, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -24768282\nAnswer: 1\/24768282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/75)\/((-7)\/(-210))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(847)*-4*4)**2.\nAnswer: 1951488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 4. Let d be 97\/3 + 10\/p. Calculate the greatest common factor of d and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 420646.\nAnswer: 2, 210323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6104 + 6102. Which is the second biggest value? (a) -0.014 (b) 0.3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*-1*6)\/(-1*sqrt(768)).\nAnswer: 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5b40 + -129?\nAnswer: 5a13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-6)*(-265)\/(-20). Let m = g - 49\/3. Are 0 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 451*t**2 - 8*t - 25*t - 9.\nAnswer: 451*t**2 - 33*t - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 d when two letters picked without replacement from {d: 2, c: 2, g: 2, r: 4, o: 1, x: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 85?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 458 - 400. Let o be (-500)\/(-90) + (j\/(-18) - -3). Let -8\/3*y + 1\/3*y**2 + o = 0. What is y?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 12) in base 7?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10\/(-35) - 1212\/(-28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 9:45 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 116.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -204*s**4*z**2 - 13*z**2 with respect to s.\nAnswer: -816*s**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i**(1\/2)\/i)*i*i*i)\/i*i)\/i)\/((i*i**3)\/i)*(i**(2\/7))**(-27\/7)*((i*i*i**(2\/13)*i)\/i)\/i**(-3)*(i*i\/i**(-2\/7))**(-1\/40) assuming i is positive.\nAnswer: i**(28631\/6370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/(3 + 1) - ((-4109143)\/272076)\/53 and -17\/10.\nAnswer: 16590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 416*n - 415. Calculate the remainder when b(3) is divided by 275.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 680320 and 24090?\nAnswer: 656230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2198, 4388, 6578, 8768?\n\"Answer: 2190*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 9. Let d = i + -4.7. What is the nearest to -0.1 in -2, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 143\/46740 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**3 + 2*a**2 + 3*a - 4. Let b be l(1). Suppose 5*d - 25 = 0, 44 = b*m + d + 15. What is the highest common factor of 44 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 + w**2 + 73 - 3*w**2 + 6*w**2.\nAnswer: 4*w**2 + 149","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*(-3 + 2) + -6. Is j at most as big as -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -22987*w - 161030. Give v(-7).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1222725.\nAnswer: 3, 5, 7, 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 241\/255 at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -4188.\nAnswer: -8376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 12:12 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (47 - 88 - -19)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57 and 30.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, q: 2, h: 9, v: 1, x: 3}. Give prob of picking 1 k, 1 h, and 1 x.\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28.5 - -4.5. Let w = h + -26. Let c = 0.1 + -1.1. Are c and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1776738745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.015 and -4268926587.\nAnswer: -4268926587.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p + 249 - 484 + 234 + 40*p**2 to z + k*p**2 + v*p and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2605, -10456, -23545, -41872, -65437?\nAnswer: -94240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 8. Let y(b) be the first derivative of 38*b**3\/3 - b**2\/2 - b + 1. What is the tens digit of y(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -79 - -9. Let r be 40\/14*i\/(-20). Suppose 4*c - 16 = 0, -n + 26 - 1 = 5*c. Solve n*o = -0*o - r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62213 is divided by 2392.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 5*a + 19*a + 278 = 0, 2*j + 2*j - 38 = -j + 4*a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -129 + 134. What is the units digit of (-10)\/(-4)*536\/z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 66*a**2 + 1080*a - 4. Let g be i(-30). Sort g, -38\/3, 0, -6.\nAnswer: -38\/3, -6, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36902, -73803, -110704, -147605?\nAnswer: -184506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(104) + (sqrt(104) - 3*(sqrt(104) + (-1*sqrt(104) - sqrt(104) - sqrt(104)))))\/sqrt(8).\nAnswer: -2 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5*b + 75 = 0, -65 = -0*i - 4*i + 3*b. Let x(q) = -q - 6. Let c be x(-11). Let o = c + i. Solve 0 = 3*u + 2*u - o for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**5 + 58*u**4 - 1310*u**3 - 3850*u**2 + 29868*u - 24768 = 0.\nAnswer: -43, -6, 1, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 104 + -104. Suppose 7*h + j*h = 63. Solve -2*q - q = -h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i - 9. Let d be z(-7). Suppose 2*x - 6*p + 2*p + 190 = 0, d*x + 4*p + 503 = 0. Let b = x + 156. Is b a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 963 divide 9269766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 6*j**2 + j - 5. Let n be o(6). Let b be n\/(-1)*(-1 + -2). What is the second derivative of -4*x**3 + 3*x + 3*x**b - 2*x wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 625925*-6.\nAnswer: -3755550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -107 + 5028\/47. Let h be ((-1588)\/(-1880) - 1)*-4. Let t = h + o. Which is the third biggest value? (a) 0.4 (b) 3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 598.2 to 0 decimal places.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*t = 51*t + 6. Let o be (-2)\/(t\/(-6)*1). Solve 0 = -2*z + 2 + o for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40 - 31) + (-15 - 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(6\/7)*k**(-15\/2)*(k**(-2\/23))**(10\/19) assuming k is positive.\nAnswer: k**(-40921\/6118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -225476, -225508, -225548, -225602, -225676?\n\"Answer: -h**3 + 2*h**2 - 31*h - 225446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + 3. List the prime factors of p(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96965 is divided by 248?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -99 - -106. Suppose 16 = -c*z + 11*z. Suppose 0*v + z*v + 5*n = 21397, -3*v - n = -16056. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 103 + -212. Let t = q + 204. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -20.324?\nAnswer: -20.524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vdn when three letters picked without replacement from {t: 2, j: 9, n: 3, d: 3, e: 1, v: 1}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -b**3\/3 + 146*b**2 - 918. Let t(z) = 6*z. Give t(g(o)).\nAnswer: -6*o**2 + 1752*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 1295 + 187. Let x = c - 7741\/7. Find p such that -x*p**2 - 3\/7*p**4 + 0 - 6\/7*p - 12\/7*p**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 2 = -4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 12:00 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.052915 (c) 0.1 (d) -16 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 977, 1900, 2767, 3572, 4309, 4972, 5555, 6052?\n\"Answer: -x**3 - 22*x**2 + 996*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -232. Let w = -212.000000356 - g. What is w rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/845 and -11\/9?\nAnswer: 7605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 6*i**2 - 10*i + 52. Let n be t(-8). Let g be 4\/20 - (-8)\/10. Let h be 4 + g - (6 - 9). What is the highest common factor of h and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11955353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, q: 4, b: 3}. Give prob of sequence bbqb.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 475463232, 475463233, 475463234, 475463235, 475463236?\n\"Answer: x + 475463231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*y**4 + 28*y**4 + 23*y**4 + (0*y + 3*y - y)*(2*y**3 + 2*y**3 - 3*y**3).\nAnswer: 77*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.56 - 1.56000242. What is x rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 61*n + 60*n = -14, 0 = 2*o - n - 1. Let d(g) be the second derivative of g**2\/2 + 4*g. Let c(j) = -j + 1. What is o*c(a) - 5*d(a)?\nAnswer: -3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2146962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/((-96)\/(-1364))*-1. Let h = -114 - i. Put 0.4, 22\/3, h in decreasing order.\nAnswer: 22\/3, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201 = -69*k - 63 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5993*r**3 + r - 5998*r**3 - r.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 5 + 6 + (1 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**6\/195 - 9*z**5\/130 + 9*z**4\/26 - 31*z**3\/39 + 12*z**2\/13 - 995*z. Let n(m) = 0. What is m?\nAnswer: 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 4*b - 8. Let j be 38\/(-6) + (-1)\/(-3). List the prime factors of f(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27051\/10 + -2708. Calculate the common denominator of t and 1\/4*(-39)\/(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 4*i**2 - 2*i + 3. Let k be l(3). What is the tens digit of -2*((-69)\/k)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 15*p**2 - 29 + 39*p**2 - 179*p + 10*p**2 + 2*p**2. Let d be x(30). Solve -3 + d = 2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -5*j - 7, 106 - 113 = w + 2*j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.112 rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(0 - (-2)\/10). Let q be 24\/l - 2\/(-10). Let u(x) be the first derivative of x**4\/4 - 5*x**3\/3 - x**2\/2 - 6*x + 1. Calculate u(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 163 + 1?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = n + 5*d, -5*n + 607 = -5*d + 572 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -6*u**3 + 2*u**2 + 2*u - 5. Let z(a) = -5*a**3 + 3*a**2 + 3*a - 5. Determine 3*w(t) - 2*z(t).\nAnswer: -8*t**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -21, -3, 1, 33 in descending order.\nAnswer: 33, 2, 1, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g**2*m**2 - 14*g**2*m + 111*g**2 + 29*g*m**2 - 61*g*m + m**2 wrt g?\nAnswer: 6*m**2 - 28*m + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from {o: 1, n: 1, r: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 90, 96, 106, 120, 138, 160?\n\"Answer: 2*c**2 + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 93872556 to the power of 1\/3, to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -15663*o + 15422. Let p(f) = -f + 132. Let u(g) = -3*p(g) - s(g). What is the first derivative of u(c) wrt c?\nAnswer: 15666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a gram in milligrams?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -134*l**2 - 156*l - 5. Calculate i(-4).\nAnswer: -1525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08555 - 12.\nAnswer: -11.91445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6796362 to the nearest integer?\nAnswer: 2607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7 - 24039.\nAnswer: -24039.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1404522 (base 6) in base 9?\nAnswer: -130105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 15*l**2 + 14*l - 1. Calculate f(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0 - 16 = 0. Let s = 13 + x. Solve s*r + 3*w = -20, 3*w = 2*r + 3*r - 10 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -83638?\nAnswer: -83644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0992556497 rounded to 3 decimal places?\nAnswer: 0.099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42*g**3 + 159*g**2 + 3*g + 2466.\nAnswer: 252*g + 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 568656 and 616044?\nAnswer: 7392528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*j - 105175, 341*j + 8 = 345*j. List the prime factors of k.\nAnswer: 11, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -129, -132, -143, -168, -213, -284, -387?\n\"Answer: -y**3 + 2*y**2 - 2*y - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 1121323112022?\nAnswer: -1121323112013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (3 + sqrt(22)\/sqrt(2) + -5*((sqrt(22)\/sqrt(2))**2 - sqrt(11)))*2)*2 + -5.\nAnswer: -211 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*u**2 + 8*u**2 - 15*u**2 + 2*u**2 - 2*u**2 + u**2 + (-3*u + 2*u + 2*u)*(2 - 2 - 2*u) in the form t + j*u**2 + c*u and give j.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -30724.4275 minus 2.9?\nAnswer: -30727.3275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + a8e995?\nAnswer: a8e994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*s = 4, -5*p = -0*s + s - 1. Suppose 6*x - 392 + 104 = p. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 3) to base 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*i + 51 = 2*i, 0 = -n + i - 16. Let z = n + 16. Suppose z*f - 28 + 10 = 0. What is the least common multiple of 10 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 3*b**2 + b + 6. Let a(f) = -f**2 + f. Let g(j) = 3*a(j) - t(j). Give g(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 2\/7 (b) 1\/6 (c) -0.26 (d) 11065\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78 - -80. Suppose f + y*q = -4*f - 4295, 3*q = 2*f + 1699. Let t = -193 + f. What is t rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x. Let v(z) = -8*z - 4. Let f(o) = 10*a(o) - v(o). Is f(-5) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**5\/630 - k**4\/84 - 4*k**3\/63 - 29*k**2. Factor a(f).\nAnswer: 2*(f - 4)*(f + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*t + n - 4*n, 3*t = 5*n + 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5900 (b) 4 (c) 0.3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 407*q**3 + 223*q**2 - 223*q**2 - 12*q**3 - 37*q**3.\nAnswer: 358*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-4))\/(1\/(-2)). Suppose m*z + 53 = w, -3*z + 4*w + 22 = 72. What is the tens digit of -1 + (1 - z - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 179 + 4?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of y**8\/280 - y**5\/120 + 5*y**3\/3 + 9. Let r(p) be the third derivative of w(p). Find the second derivative of r(m) wrt m.\nAnswer: 72*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 13*d - 0*d. Let s = 7 + -1. Suppose 2*m = -3*m. Solve m = d*f - s - 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 31, 38?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 17*q + 68. Let d(j) = 35*j + 136. Let c(w) = -4*d(w) + 9*s(w). Let h be c(-5). Solve 4*x = -k + 15, -3*x = -2*x + h*k + 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dk when two letters picked without replacement from kkkvvkkkvdkdvk?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 5*m - 2*w + 158, -5*w - 375 = 5*m. Let r be (92\/(-5))\/((-3)\/15). Let y = m + r. What is the greatest common divisor of 150 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 2661*y + 81 = -2678*y, -4*y = 3*z - 23 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 7:25 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**5\/7 - 176242*s**4\/7 + 2264258*s**3 - 372026926*s**2\/7 + 697209392*s\/7 - 340856032\/7 = 0.\nAnswer: 1, 44, 88031","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121 a factor of 120810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 15*s + 19. Let k be o(14). Let i be 32\/(-10)*k\/(-20). Which is the biggest value? (a) -0.4 (b) 3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*d - 93*d = -85. Let z = -45 - -95. Let u = d - z. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2212031012 (base 4) to base 13\nAnswer: 1aab33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -144, -4, -2\/73, 3\/4 in decreasing order.\nAnswer: 3\/4, -2\/73, -4, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3087 (base 11) to base 13\nAnswer: -1b26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8230 - 2221. Let z = -4174 + t. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 6*a**2 + 3*a + 9. Let v be u(-5). Solve 4*s = -3 + v for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110 and 23800.\nAnswer: 261800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**2\/7 - 47926*p\/7 - 622700\/7 = 0.\nAnswer: -23950, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**3 - 75*z**2 + 55*z - 597. Calculate the remainder when 234 is divided by r(37).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 16\/7*t**4 + 40\/7*t**3 + 2\/7*t + 0 + 17\/7*t**2 = 0.\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/5)\/(18\/(-10800)*-260*9).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/5))**(-2\/9)*(m*m**(-20))\/((m**(-16)*m)\/m) assuming m is positive.\nAnswer: m**(-131\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5618692364.\nAnswer: 2, 7673, 183067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 3600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -103 - -42 - -30 - (-6 + 0 + 0)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 9*v = 8. Which is the closest to v? (a) 2\/7 (b) -5 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03 + 98215.\nAnswer: 98214.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.368 - -0.868. What is the fourth smallest value in 0.1, -0.01, 0.3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*y**2 - 10*y**3 + 41*y**2 - 17*y**3 - 12*y**3 - 2*y + 34*y**3 in the form f + o*y + w*y**3 + v*y**2 and give v.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 869025683 to the nearest integer?\nAnswer: 954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6347?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 45099534 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36762, 73525, 110288, 147051, 183814?\nAnswer: 220577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -302033331 (base 4) to base 11.\nAnswer: -130700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2958 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 - 9. List the prime factors of z.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f. Let h(i) = -9677744*i**2. Determine p(h(u)).\nAnswer: -9677744*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -249 - -252. Suppose -a*t - 12230 = -1220. What is t rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78100 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (764\/10)\/((-2)\/(-75)*6). Let m = 481 - p. Let h = -1.1 + 1. Which is smaller: h or m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 + 37. Suppose -3*p = -0*c - c - 67, 2*c - 58 = -2*p. Let z = p - 1. What is the remainder when z is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h - 2*h + 8*h + (4 - 4 + 2)*(-h + 1 - 1) + 0*h - 3*h + 2*h)*(-h - 2*h**2 + h) as l + r*h**3 + v*h + a*h**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -20*x. Let b(d) = -45*d - 42*d + 86*d. What is b(g(z))?\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 34*a**2 - 32*a - 28. Let d be b(33). Solve 0 = 3*f + u + 17, f + 2 - 7 = d*u for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 56699955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -32359238, -64718471, -97077706, -129436943, -161796182?\n\"Answer: -w**2 - 32359230*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s**3 + 7*s**2 + 8*s + 5. Calculate the remainder when a(-2) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 252 = r. What is the greatest common divisor of 112 and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 1)\/(3 + -1). Let w = -2 + 3. Let i = 1 - w. Which is the nearest to n? (a) i (b) 0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/((z\/(z*z\/((z*z**(-2\/37)*z)\/z))*z*z)\/z*z))\/z)\/z*z\/z**(2\/5))\/(z\/(z\/((z*(z\/z**(15\/8)*z)\/z*z)\/z))*z**(1\/4)*z*z) assuming z is positive.\nAnswer: z**(-6987\/1480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1897 - 1905 - (0 - 0 - 0 - (-1 - -7))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -30 - (-28 + 4) - (0 - -15)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and 1.138?\nAnswer: 1.638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -6*(sqrt(7) - ((sqrt(700) + -2*sqrt(700))**2 - sqrt(7))).\nAnswer: -12*sqrt(7) + 4200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 l when four letters picked without replacement from {l: 2, m: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 594.6 - 928.5. Let p = o + 334. Let w = -151\/3 + 51. Which is the nearest to 1\/4? (a) p (b) 0 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.676583 rounded to 2 decimal places?\nAnswer: -2.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) - (sqrt(1331) + sqrt(1331) + sqrt(1331)*-2)) + -2 + 3)**2.\nAnswer: 22*sqrt(11) + 1332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68092.52mm to nanometers.\nAnswer: 68092520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - 15. Let m = v + 32. What is the least common multiple of m and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -314*a**7 + 13*a**3\/3 - 24*a + 9276. Find the third derivative of u(f) wrt f.\nAnswer: -263760*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 575 and 9637.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*j + 2*j**4 + 3 + 2 - 10*j + 6*j to the form x*j**2 + u*j**4 + a + p*j**3 + v*j and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/6*2*(-65)\/39.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1104)\/(-43125))\/(64\/40).\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28192000?\nAnswer: 2, 5, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -i**7\/840 - i**6\/120 - i**5\/48 - i**4\/48 + 9*i**2\/2 + 5. Let m(g) be the second derivative of w(g). Factor m(p).\nAnswer: -p*(p + 1)**2*(p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/2 + 579*v\/2 - 1166.\nAnswer: (v - 4)*(v + 583)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 a when three letters picked without replacement from {m: 1, e: 6, j: 1, g: 1, a: 3, c: 4}?\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (27 - -1)*(-12)\/(-14). Suppose 0 = -s + r + 2. Suppose 0 = -s*h + 29*h - 267. List the prime factors of h.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 smaller than 34.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 7*a**2 - 20*a + 18. Let j be d(9). Suppose -24*k + 30*k - 3840 = j. Is k a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2963050 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 440*i**3 + 242*i**3 + 298*i**3 + 567*i**3 - 346*i**3 + 439*i**3.\nAnswer: 1640*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 8*y**2 + 24*y - 21. Determine q(11).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(2\/3)*l)\/l)\/((((l\/(l**(-4)*l))\/l*l)\/l)\/l) assuming l is positive.\nAnswer: l**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1590 = 12*m - 7*m. Suppose -35*j = -41*j + m. What are the prime factors of j?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*r - 4*r**2 - 48*r + 2 to u*r**2 + a*r + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 11883592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**4\/6 - 14*s. Let v(a) = -90*a. Let u(g) = -7*g. Let t = 53 + -56. Let r(w) = t*v(w) + 40*u(w). Give c(r(i)).\nAnswer: 200*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 612?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j + 10. Give i(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11203122210 (base 4) to base 12.\nAnswer: 5a2570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + 0.8. Let m = 6 + -5.2. Let k = m + -3.8. Put k, -4\/7, z in decreasing order.\nAnswer: z, -4\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3}. Give prob of sequence zz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 77*a**2 - 610*a - 63. Does 85 divide m(-84)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -5*y**2 + 105*y + 763. Calculate z(-8).\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59582*i = -59541*i + 379 + 359 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 14 - (-1864 + 11 + 8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162 divided by 3\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 12 + (-27 - -29) + 27\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253*d + 237*d = -14480. List the prime factors of d.\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5429 is divided by 539?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2245*u**4 + 3*u**3 - 2240*u**4 - 2*u + 5*u + u**2 as i + s*u**4 + g*u + v*u**3 + x*u**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10307\/51585 + 2\/10317. Sort p, 0, -0.3.\nAnswer: -0.3, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10.9, -2\/11, -3, 1?\nAnswer: -10.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -41952*r**2 + 37272.\nAnswer: -83904*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1917470916?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2512608 to the power of 1\/2, to the nearest integer?\nAnswer: 1585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 40176 divided by 3?\nAnswer: 13392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 142853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 5:04 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - q = -11. Let z = 26 - q. Solve z = -5*n + 35 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 7. Suppose -3 = 4*h + 17*i - 22*i, 6 = 2*i. Solve x - 3*x + h*q = 14, 18 = -n*x + 5*q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**5\/150 + 847*b**4\/30 - 717409*b**3\/15 - 2*b**2 + 601*b. Factor j(q).\nAnswer: -2*(q - 847)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05*0.13208954\nAnswer: -0.006604477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - (-232)\/72) + (-212)\/(-18). List the prime factors of (c + -32)\/(6\/(-183)).\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x - 209 + 209. Let b(z) = 50*z. What is b(k(a))?\nAnswer: 150*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**3 - 5*y**2 + 5. Let n(t) = -t**3 + 12*t**2 - 12*t + 8. Let c be n(11). Let p(u) = -u**2 + 1. Determine c*p(j) + g(j).\nAnswer: -2*j**3 - 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/2)\/(2\/(-20)). Suppose -65 = -0*x + t*x. Let y = -8 - x. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**3\/5 + 42089*j**2\/5 - 15496444*j\/5 - 31161236\/5 = 0 for j.\nAnswer: -42454, -2, 367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 2*x**3\/3 - 3*x**2\/2 + 4*x - 2. Is a(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/12 + 86920\/2544?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in minutes?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11.3 and -1.224?\nAnswer: 13.8312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27.7603 - -326.88.\nAnswer: 354.6403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 599?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*l + 52*l + 34 = 4*g, 80 = -35*l + 25*l - 2*g + 7*g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -19634 - 3964?\nAnswer: -1cf98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(-2))\/(-62*41\/(-5084))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*g + 24900 = 64*g. List the prime factors of g.\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 3\/4 (b) 2 (c) -4 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 71*n**2 + 1076*n + 519. Determine h(23).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 942 - 10 = 0. Let h = t + 345. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m**2 - 2. Suppose -5*r = 12*r - 5321. Let n = 322 - r. What is the remainder when w(2) is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/4559 - -31921\/18236. Let x(h) be the first derivative of -7\/2*h**2 - 2*h - h**3 + c*h**4 + 9 + h**5. Factor x(l).\nAnswer: (l - 1)*(l + 1)**2*(5*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 4:58 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m**2 + 40*m - 83 - 8*m - 15*m. Let p(n) = -14*n**2 - 50*n + 248. Let u(x) = -6*p(x) - 17*r(x). Find the first derivative of u(y) wrt y.\nAnswer: -2*y + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-4*1*sqrt(200)*-2 - (sqrt(200) - (-1 + sqrt(200) + 0) - -3*sqrt(200)*-1))**2*2.\nAnswer: -1080*sqrt(2) + 291602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2625 take away 1372592?\nAnswer: -1375217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 11434.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1869 - -581. Is y a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-1)\/(-4)) - 2. Let a(k) = k - 4. Let d be a(4). Suppose 2*z - 5*w = -17, 1 = -3*z + 2*w + 3. Solve f*y - 18 = -y + z*u, d = -4*u - 12 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 75745779?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**4 + 74439*y**3 + 297740*y**2 = 0 for y.\nAnswer: -74435, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 73*h**2. Let c(t) = 4*t**2. Calculate c(v(d)).\nAnswer: 21316*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38876149 or -38876159?\nAnswer: -38876149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + j + 51 = 0, r + 4*j = -r + 36. Solve r - 14*o**2 + 18*o + 16*o**2 + o**2 = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2 = -u, -2*u + 4 = z - 0. Solve 3*g + 0 + 9 = z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 21, 9, -5, -21, -39?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -40040 - 10503?\nAnswer: -50543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 1. Let l be (-54)\/(-28) + (-3)\/7. Sort k, 0, l in descending order.\nAnswer: k, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 4*h - 24, 273*h = 4*o + 110 + 147 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**6 - 130*a**3 - 6*a**2 + 7 wrt a.\nAnswer: -240*a**3 - 780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 0) + 0 + 0 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 73, 109, 181, 301?\nAnswer: 481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36671 to the power of 1\/2, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14357139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -23410 + -0.4\nAnswer: -23410.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -134 + 264. Let d = -92 + j. Let y = -41 + d. Let t(u) = u**3 + 2*u**2 - 4*u. Calculate t(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3*(sqrt(252) - (sqrt(252) - (-6*2*sqrt(252) - sqrt(252))**2) - (sqrt(252) + 1 + sqrt(252) + sqrt(252) + 2)**2) + 0) + 0 + -5.\nAnswer: -120938 + 324*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**2 - 6*s + s**2 + 4*s + 0*s.\nAnswer: 6*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p - 61510 = 10*p. Let v = p - 20702. Round v to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*(u\/(u**(-3)*u)*u)\/u*u\/u**(-6)*u**7\/((u*u**(-1\/4)*u)\/u) assuming u is positive.\nAnswer: u**(69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.33 + 0.72. Let w = -0.01 - g. Let r = w + 0.39997. What is r rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/12, 1, 3, -7\/31, 1\/5, 1\/27, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 2. Let c = -29 - -97. Suppose -3*p = x - 190 + c, p + 475 = 4*x. What is the highest common factor of x and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 5*k. Let p be n(5). Suppose p = -2*x + 5*x - 6. Suppose 0 = 3*v - 4*f + 17, x*f + 3*f = 25. Solve -i - 1 - v = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -189.5 + 190. Which is the closest to 2\/3? (a) m (b) 1 (c) -76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2517.221 to the nearest ten.\nAnswer: -2520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 2*o + 19, -2*q + 488*o - 25 = 491*o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 2. Let v = 13 - 6. Let w be c(v). Suppose 3*k + 450 = 3*u, w*k = -5*u + 67 + 673. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52867.\nAnswer: 29, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 112 + -160. Let l = 77 + v. What is the remainder when 114 is divided by l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*k + 58 - 31. Which is greater: -29\/11 or k?\nAnswer: -29\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*x**3 + 324*x**3 - 108*x**3 - 109*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -2*n + 26 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 17\/2 of a millennium?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*d = x - 36*d + 405, -2*d = 5*x + 2003. Let q = 1201 + x. Is 16 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*a = 2*k - 40, -2*k - 5*a + 16 = 0. Let m = k - 5. Suppose -2*r = 5*h - 9, -2*h + m*r - 1 = 3. Calculate the greatest common divisor of h and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 7*d**6\/180 + d**5\/120 + d**4\/6 + 4*d**3\/3 + 3. Let m(z) be the third derivative of j(z). Is m(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 226500 = 54*f. List the prime factors of f.\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -215749, -431516, -647283, -863050, -1078817, -1294584?\nAnswer: -1510351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1194 = 3*t - 2*a + 222, -3*t = -3*a - 969. What are the prime factors of t?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from nyynnnyyyynnnyyynnn?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*5\/(-4) - 1. Suppose -27 = -q - j, 86 = 6*q - 3*q + b*j. Does 2 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1997209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 151 - 4*s**2 + 5078*s**3 - 5089*s**3 - 2*s - 165 + (-3*s + 3*s**2 + 3*s)*(-s - s + 4*s).\nAnswer: -5*s**3 - 4*s**2 - 2*s - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6628402 divided by 5269?\nAnswer: -1258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**3 - 5*h**2 + 8. What is x(4)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42147702?\nAnswer: 2, 3, 260171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58 - -103. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 55, 28, 1, -26, -53, -80?\n\"Answer: -27*v + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*t**2 - 26*t**2 - 23*t**2.\nAnswer: -88*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -20*s**3 + 19*s**3 - 26 + 2*s - 5*s**2 + 27*s**2. Let g be x(22). Let o(f) = 2*f. Let r(k) = 8*k. What is g*o(t) - 4*r(t)?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 267 - -4?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/1422 and 97*(14 + 5873\/(-420)).\nAnswer: 14220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -257*j + 13. Let i be u(-3). Let n(w) = w**2 + 7*w - 8. Let x be n(-8). Suppose x = 3*s - l - i, -2*s - 2*l + 799 = s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8180.\nAnswer: 2, 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 5*x + 2 = -3, -3*s + 3*x + 9 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 6 = 7*s. Let l be (1 + (-1)\/2)*183\/(-183). Which is the closest to l? (a) 0.2 (b) -2\/11 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 - 3*x**2 - 3*x**2)*(5055*x + 150*x**2 - 5055*x).\nAnswer: -450*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 396 and 2317580?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 8*h - 6. Let r = -767 + 772. Calculate l(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -b**10\/3780 - b**7\/36 + 7*b**4\/3 + 57*b. Let w(v) be the third derivative of s(v). Find the third derivative of w(o) wrt o.\nAnswer: -480*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/2175 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 2, 18.\nAnswer: 0, 2, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7013124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704782617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) - (sqrt(171) + 0)) + -4)*-4)**2*5 - (sqrt(171) + 5*sqrt(171)*2)\/(-6*sqrt(144) - sqrt(9)).\nAnswer: 11*sqrt(19)\/25 + 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 241 + -577. Let d = p + 846. Round d to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 1333323?\nAnswer: 1333321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280*a + 2*a + 13244 = 324*a for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12579 divided by -18389.\nAnswer: 1797\/2627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of y**8\/336 - y**4\/8 - y**2 + 6. Let g(i) be the second derivative of v(i). What is the second derivative of g(c) wrt c?\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5*m + 40 = 0, -162*m + 2 = 4*d - 165*m. Solve 4*i + d*n = 6*i + 8, 3*n + 20 = -5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -s**4\/6 - 5*s. Let r(a) = 5*a**2. What is m(r(l))?\nAnswer: -50*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 18 = -h. Suppose -3*i + 6 = -0*i. Calculate the remainder when (-14)\/42*(1 - h) is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 8 = -22*r + 21*r, -3*r - 21 = 3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 48\/5369?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 7:28 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 1. Let f(l) = l + 7. Let w(g) = -f(g) + 3*y(g). Calculate the smallest common multiple of w(3) and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -85 - -95. Suppose -x - 4*z + 32 = 0, 3*z + 2*z = 5*x - 85. Calculate the highest common factor of b and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 3. Let a(u) = 16822 - 7*u + 16825 + 16826 - 50479. Let z(b) = b + 1. Suppose -5*s - 2 = -7. What is q*z(f) + s*a(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 8, o: 2, k: 2, w: 3}. What is prob of sequence wkww?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 84 - 80.1. Let p = u + -4. Let i = -15602 - -15601.8. Which is the smallest value? (a) i (b) -1 (c) p (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 0*b. Suppose 3*s - 2*s - 4 = b. Suppose 5*h + 224 = s*m + 3*h, 102 = 2*m + 4*h. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -603*z = -608*z + 5*q, 5*q + 25 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130304 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002973 rounded to five decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2*(4 + -5)*-8. Let o(z) = -3*z**3 + z**2 - 8*z + 1. Let s(c) = -4*c**3 - 9*c + 1. Let q(a) = y*s(a) + 5*o(a). Determine q(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3232, -2, -1784 in ascending order.\nAnswer: -3232, -1784, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18981097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 2*c + 96, -x - 36 = -15*c - 32*c + 52*c for x.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 3*g**2 + 12*g + 22. Let x be y(-2). Solve 4*d = 5*n - 33, 4*n = -x*d + 7*d + 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -7*m**2 - m + 11984. Let q be l(0). Suppose 14*x = 22*x + q. What is x rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3\/7 + 2528*w**2\/7 - 6886*w\/7 - 857480\/7 = 0 for w.\nAnswer: -17, 20, 1261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3587832, 7175674, 10763540, 14351442, 17939392, 21527402, 25115484?\n\"Answer: 2*k**3 + 3587828*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -746665, 1, -2 in ascending order.\nAnswer: -746665, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-98)\/35 + 8\/10. Let i be (4\/(-8))\/(111\/k). Let m = i + 107\/444. Which is the closest to -3? (a) -1\/3 (b) m (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 9*q**2 + 6*q - 31. Let d(l) = -10*l**2 - 5*l + 32. Let p(c) = 6*d(c) + 7*z(c). Let x be p(4). Let h = 108 - x. List the prime factors of h.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 4*k + 28 = 0, 4*d - 9*d - k = -5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6120)\/7 + (-4)\/(-14). Let r be (-7 - -8)\/((-2)\/l). Suppose -2*o + r = -m, 0*m - 5*m = 2*o - 443. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 x when four letters picked without replacement from xtttxxttttftttxxtft.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3619, -29255, -99181, -235543, -460487?\nAnswer: -796159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -7) + -31 + 28.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 153686476 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 12:17 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 3*d + 8 = 0, -c - 3 = -17*d + 15*d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i - i**3 - i**3 - 1130 + 0*i**3 + 1138.\nAnswer: -2*i**3 + 4*i + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t - 35. Let p(x) = -8*x. Let a(y) = 13*y. Suppose 9*d = 5 - 77. Let f(g) = d*p(g) - 5*a(g). Determine u(f(k)).\nAnswer: 2*k - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*j**3 + 3*j**5 + 2*j**3 - 4*j**5)*(0 - 2 + 1).\nAnswer: j**5 - 15*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 13447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92 - 92 - 11052*j - 10361*j)*(-4*j + 2*j + 0*j).\nAnswer: 42826*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 6*o - 2*o. Suppose 3*u = -k + 100, 3*u = o*u - 4. Suppose -t = 3*t - k. What is the greatest common factor of 176 and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a micrometer in nanometers?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 - 102*i**2.\nAnswer: 3*i**2*(i - 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 32 divided by -8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -393.\nAnswer: -10\/393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + 7*d**2 - 2*d**2)*(1 - 1 + d) - 493*d**2 - 42*d**3 + 31*d**3 + 485*d**2.\nAnswer: -6*d**3 - 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/12*(-56)\/98?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 18*y - 27. Let j be w(-16). Suppose -m = -j*r + 13, r = 3*m - 2*r + 3. Solve -q = -3*x - 2, 0 = -3*q - m*q + 3*x + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 96, 24, -28, -36, 24, 176?\n\"Answer: 4*b**3 - 14*b**2 - 58*b + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-9)*r*r*r**(-9\/2))\/((r\/(r\/(r\/r**(-21))))\/(r*r**10)))**(-14\/3) assuming r is positive.\nAnswer: r**105","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 4. Let w be h(-6). What is the units digit of -32*w\/12*3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10753 is divided by 10749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*x)*(0 - 5 + 4) + 96*x + 766 - 1536 + 773.\nAnswer: 94*x + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 22\/6)*(-36)\/(-126)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - 108875?\nAnswer: -108883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2616242 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -10, -5, -3\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (622 - 650 - 620 - 520)*(-8*j**4 - 4*j**4 + 0*j**4).\nAnswer: 14016*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**3 + t**2 - t - 1. Let b(v) = -21*v**3 - 1161*v**2 - 147447*v - 6291447. Let z(m) = -b(m) - 9*s(m). Factor z(w).\nAnswer: 3*(w + 128)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 357, -21, 6, 11, -14 in decreasing order.\nAnswer: 357, 11, 6, -14, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31667?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 12 = 4*i + o, -3*o + 1 = i. Solve 2*m = i*u, -2*u - m - 10 = 3*m for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*j**2 + 2 - 1030*j + 17 + 99 + 1034*j + 8601*j**4 - 28 wrt j.\nAnswer: 206424*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -37, -43, -51, -61, -73?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2027 by -1338.\nAnswer: -2027\/1338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 5*r**6\/24 - r**5\/15 - r**4\/24 + 5*r**3\/6 + 31*r**2\/2 + 28*r. Let i(s) be the first derivative of m(s). Is i(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.166324 millennia in years?\nAnswer: 6166.324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 20*p**2 - 8*p - 43. Calculate o(19).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -13\/19, 1\/29, -0.4, 2?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -355.3 + 375. Let q = f - 20. Let w(l) = -l**3 + 6*l**2. Let i be w(6). Which is bigger: i or q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 44 - 8. Suppose 2*q + 18 = 5*o, -5*q + f = -0*q + o. Calculate the common denominator of -23\/20 and q + 0 + (-138)\/(-44).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cd when two letters picked without replacement from {n: 1, l: 4, d: 1, v: 3, c: 4, p: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, 3, 2, 0.1 in decreasing order.\nAnswer: 57, 3, 2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9194.4us to seconds.\nAnswer: 0.0091944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 153619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-7)\/168*-4*-91 and 15\/((-1575)\/(-14)) - 421\/270.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**3 - h**2 + 5*h - 1. Let k(w) = -7*w**3 + w**2 - 11*w + 1. Calculate 5*f(l) + 2*k(l).\nAnswer: l**3 - 3*l**2 + 3*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/1219 and -43\/4787861.\nAnswer: 110120803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4*w = -68. Let h be 62\/5 - (-4)\/(-10). Let b = w - h. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 6:59 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*i - 7*i. Let w be (13 - ((-702)\/(-91) + 5)) + (-60)\/14. Suppose 5*k = 3*d + 19, -k = 2*k - 3*d - 15. Put k, -1, w, i in decreasing order.\nAnswer: k, i, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12453387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/(-6) - 8\/24. Let a(b) be the third derivative of -11*b**4\/12 + 3*b**3\/2 + 2*b**2 - 55*b. List the prime factors of a(j).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 16.11 and -5.\nAnswer: 11.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03329075 rounded to 4 decimal places?\nAnswer: -0.0333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56.9 - 55. Let n = 1.956 - v. Let a = -0.0691 + n. What is a rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*s - 108 = -4*i + 31*s, 5*s = -3*i + 92. Calculate the lowest common multiple of i and 288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 16*t - 13. Let s be o(-15). Let n = 55\/2 + -27. What is the nearest to n in s, 0.2, -3\/8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09699? (a) 4086 (b) 0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4 - 2*w + 6 - 2. Let t(v) be the second derivative of -v**4\/3 + 2*v. Give d(t(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9304 or -9303?\nAnswer: -9304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - j - 1. Let k(m) = 10*m**2 - 6*m - 6. Suppose -2*x = -x + 6. Let f(o) = x*n(o) + k(o). Let h(w) = 5*w. Give h(f(i)).\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.96 - 0.04. Let m = 7 - 6. Let d = -1.99 - 0.01. Which is the closest to m? (a) 1 (b) u (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2 - 6*x - 1. Let n(k) = 0*k**2 + 0*k + k**2 - k. What is -6*n(l) + u(l)?\nAnswer: -3*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 30*b**2 + 28*b + 31. Let h be g(29). Let n(v) = 39*v + 49. Calculate the remainder when n(h) is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 27\/2 of a kilometer?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 11:06 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 5 + -3 - 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 155 - -156. List the prime factors of p.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)\/(2*sqrt(864)) + sqrt(720) + 5*(sqrt(720) + 0) + sqrt(720))*6 + -4)**2.\nAnswer: -4034*sqrt(5) + 20341701\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 12 = -0*f. Suppose a = 5*a + 4*k + 60, 4*k + 20 = 0. Let n = a + 22. Solve -n = -f*j - 0*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 53*m - 78. Let o be r(2). Suppose 21*j - o*j + 14 = 0. Solve 9 = 3*v - 2*l, -4 = -3*v + j*v + l for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 245372494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 201\/(-6)*(-306)\/(-36)*4\/17.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, t: 3}. What is prob of sequence vt?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3*y - y - y)*(1 + 1 - y - 3) + 24*y + 14*y**2 - 24*y)*(-78 + 117 + 80) to the form t*y**2 + n + l*y and give t.\nAnswer: 1547","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1833371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-114)*2*4047\/5396?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 211 (b) -10 (c) -2\/9 (d) -52\/7 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 2\/(-3))\/(14\/84). Is -2*(-37)\/v - 0 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-2\/3)\/q))**27\/(q**7\/((q*q\/(((q*q**8*q)\/q)\/q))\/q)) assuming q is positive.\nAnswer: q**58","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26109 and 5479989?\nAnswer: 2901","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or -26772\/1327?\nAnswer: -26772\/1327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, e: 4, i: 2}. What is prob of picking 1 e and 2 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -6*t**2 - t - 4. Let b(l) = -l**2 - l - 1. Calculate -5*b(f) + s(f).\nAnswer: -f**2 + 4*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1235 and 12?\nAnswer: 14820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -139 + 530. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 - 5*u - 6. Determine g(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1691, 3364, 5035, 6704?\nAnswer: 8371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -352 greater than 4.972?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*p = -37*p + 54. Calculate the lowest common multiple of 8 and -6 + (-16 - p - -27).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 6:14 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 592 in 2\/5, -0.1, -4, 1\/23?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 33824.38 kilometers?\nAnswer: 33824380000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2393, -2431, -2469, -2507, -2545, -2583?\n\"Answer: -38*o - 2355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5321 + 6?\nAnswer: 5327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -158 - -109.2. Let t = 44 + w. Let l = t - -0.8. Does l = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -19\/20 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**3 - 6*r**3 - 12*r**3)*(-2*r**2 + r**2 - r**2 - 2*r**2 + r**2 + 2*r**2 + (4*r - 6*r + 0*r)*(3*r - r - r) - 3*r + 3*r - r**2 + r**2 - 3*r**2 - r**2).\nAnswer: 105*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -195*p - 1922. Let f(b) = -24*b - 1. Calculate -8*f(o) + x(o).\nAnswer: -3*o - 1914","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cvbvsvsbgss. What is prob of picking 2 b and 1 s?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 204, -13, -5, 8, 0 in ascending order.\nAnswer: -13, -5, -4, 0, 8, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(h\/(h**0\/h)))\/h)\/h)\/(h\/h**(-6)))\/((h\/h**(1\/4))\/h*h*h\/h**(-3)) assuming h is positive.\nAnswer: h**(-59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 w when four letters picked without replacement from cccwccccccccccc?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5030 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u + 1. Let y be d(1). Suppose 5*k + 36 - 1 = 5*q, k = -5*q + 5. Factor -6*t**3 + 5*t**4 - 11*t**3 - 5*t**q + 10*t + 7*t**y.\nAnswer: 5*t*(t - 2)*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*z - 112533 = 0, 0 = 3*k + 5*z - 24878 - 87595. What are the prime factors of k?\nAnswer: 37501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 19*a + 73. Calculate i(-6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-1)*0 + (-1 - -4). Let x be ((-14)\/d + 0)*(-36)\/14. Suppose x = 3*g - 3. Which is the nearest to 2? (a) 0 (b) 6 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*((-2)\/11)\/((-20)\/55)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m**2 - 7*m + 4. Let q be u(3). Let w = q + -33. Let n(p) = 2*p**2 - p + 2. List the prime factors of n(w).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41501246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 11864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 558 and 17702178?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + (-7)\/2)\/(10\/(-4)). Let v(s) = -s**3 + s**2 - 3*s + 2. What is v(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -3 (c) 10.8 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*h**2 - 11*h**2 + 6*h**2.\nAnswer: 46*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26385, -25073, -23761, -22449, -21137, -19825?\nAnswer: -18513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aat when three letters picked without replacement from {a: 8, t: 3}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 3*q + 7296, -6*o + 14572 = -4*q - 0*q. What is the least common multiple of o and 6?\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n = -103 + 49 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 150 * -6328\nAnswer: -949200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and -23437.7.\nAnswer: 468.754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1601 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3001b23 (base 13) in base 8?\nAnswer: -67202040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1346160544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - (2\/10 + 324\/(-45)). Solve -4*d + 2*b = -8*d + l, 5 = -5*d - 5*b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 335704 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24017828 is divided by 560.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2591, -2586, -2571, -2540, -2487?\n\"Answer: y**3 - y**2 + y - 2592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljjl when four letters picked without replacement from jrllrrlrlj.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13266723?\nAnswer: 3, 4422241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -51, 3, 0 in decreasing order.\nAnswer: 4, 3, 0, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m + 8*m - m + 2)*(0 - 5 - 1).\nAnswer: -12*m - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 2*u + 70, 4*a + 4*u - 2 - 50 = 0. What is the highest common divisor of a and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, s: 1, p: 3, x: 1, m: 4}. What is prob of sequence smx?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fourty-three quarters of a day?\nAnswer: 258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430902 is divided by 143629?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 48964 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 16 + -10 + -9 + 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1919057500?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26308*y + 1063 + 26307*y - 10*y**2 - 1063.\nAnswer: -10*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 595 + -595. Let c(l) = -3*l - 20. Give c(t).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(250)\/(sqrt(40)\/sqrt(4)))\/sqrt(5))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 52\/(-312)*6\/2*4\/28\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**5\/20 - 8*i**4\/3 - 39*i**3 + 167*i. Find the second derivative of h(a) wrt a.\nAnswer: 6*a - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 249 + -236. Suppose h*x = -12*x + 3950. Is x a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 63, 59, 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7.5 or -0.8?\nAnswer: 7.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22944 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from dddddvdvvd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - 2*h - 28, 0 = 10*k - 6*k - 3*k + 4*h + 2 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 - 2*k + 1. Suppose -j + j = 3*j. Suppose z + 1 + 2 = -2*n, j = 3*n + z + 5. Give u(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 + -7.1. Let s = j - -14. Let y = s + -11. What is the closest to -0.1 in 0.1, -5, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x - 32. Let k(t) = 13*t + 126. What is -9*j(z) - 2*k(z)?\nAnswer: z + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*u - 912 - 178. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 5012186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + t**2 - t + 3. Let x be f(-3). Let y(a) = a - 9. Let g be y(0). Let j = g - x. Solve -k - 18 = 4*s, -j*k = -7*k - 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2168 * -232.\nAnswer: -502976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 55\/70)*2. Which is the third biggest value? (a) 2 (b) o (c) 1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + 4*o = 4*n - 20, -n - 3 = -3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 576 - 448. Is 16 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/67266 and -26\/55259019?\nAnswer: 110518038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*v - 13*v - 162. Suppose -d = -v + 11. Does 44 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105837 is divided by 378.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 671704 and 118536.\nAnswer: 2015112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11343?\nAnswer: 3, 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 41*q**2 + 11*q - 46. Let b(z) = -8*z**2 - 2*z + 9. Let g(r) = 11*b(r) + 2*w(r). Differentiate g(x) wrt x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and -121951.7?\nAnswer: 121953.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(40\/(-5))\/48.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-9))\/(-2)*(-1848)\/56?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 - 37.99999899. What is v rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 6566920?\nAnswer: 6566921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25\/21 - 16\/21. Sort -3, o, 62 in increasing order.\nAnswer: -3, o, 62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-4*sqrt(96)*-1)\/(sqrt(2)*-1*-4 + sqrt(2)))**2 + 3.\nAnswer: 793\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1642*r**2*u + 3*r**2 + 4*r*u + 3*u + 23898 wrt r.\nAnswer: -3284*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5596 and 4096?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10*(-9)\/18*-71 + 6. Solve 5*s = 4*y - 14, 9 = d*s - 366*s - y for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2 - 5*z - 4. Let c be 4\/(-2)*(2 + 0). Let s(x) = -x**2 + 13*x - 2. Let i be s(13). Let f be c - (i\/2 + 0). Give y(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262487402.\nAnswer: 2, 131243701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 19, -0.0251, 15\/17?\nAnswer: 15\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1106.33 to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -639 times -3?\nAnswer: 1917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -2300559?\nAnswer: -1\/766853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 - (-11 - -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 84343.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 + 30584509*a**2 + 233853032400515*a - 233853062985025.\nAnswer: (a - 1)*(a + 15292255)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 160413 or 160410?\nAnswer: 160410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.329194866 to 1 dp.\nAnswer: 8.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-4)*64\/(-240)*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/2 (b) 1\/224 (c) -2 (d) -3\/2 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 - 414?\nAnswer: -347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3943907 and 179?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*z = 381 - 1512 - 821 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*63543080\nAnswer: -19062924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 320063003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 11774778?\nAnswer: -11774778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 5:01 AM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 2010*k + 113564. What is p(55)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mwy when three letters picked without replacement from wwwmymwywyyw?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 9520?\nAnswer: 28560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-11 - -33) + -6 - -11) + -8.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = -0*n - 2*n. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 154 (base 12) to base 10.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 + -36. Let s be (-4)\/(-138)*4\/p. Let f = -403\/621 + s. Find the common denominator of f and 73\/6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -24*t - 24. Let b(c) = -c**2 - 16*c + 7. Let d be b(-14). Let o = 32 - d. Does 27 divide m(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 7766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2729216*w**4 + 12*w**5 + 105*w - 2729216*w**4 + w**3 + (4 - 5 - 1)*(-6*w**5 + 2*w**5 + 3*w**5).\nAnswer: 14*w**5 + w**3 + 105*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59362827 is divided by 576338?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 401 divide 873562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 291601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -818*b**2 + 23 + b - 10 + 2*b**3 + 814*b**2 to the form w*b + l*b**3 + f + v*b**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 313085?\nAnswer: 5, 62617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.62 + -2.98. Let w = -610 - -605.27. Let l = f - w. Which is the second biggest value? (a) l (b) 2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**5\/4 + 8835*x**4\/4 - 17691*x**3\/4 - 26499*x**2\/4 + 17679*x - 8841 = 0.\nAnswer: -2947, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*a - 5 + 8*a - 10*a)*(a**3 - 2*a**3 + 6*a**3) to h*a**2 + r + i*a + u*a**3 + b*a**4 and give u.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 6 + (19 - (1 + 22)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1069? (a) -3 (b) 0 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 + 15 = -6*u. What is u rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.3, 441 in descending order.\nAnswer: 441, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 18. Let h(i) = i**2 + 2*i. What is the tens digit of h(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/1 - 4*572\/(-220).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58*-1479764.\nAnswer: -85826312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fifty-seven fifths of a millennium?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -0.19?\nAnswer: 1.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17261855227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -74, -104, -182, -332, -578, -944?\n\"Answer: -4*a**3 - 2*a - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) 4 (c) -4 (d) 2 (e) 2\/9 (f) -7\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -329385 = -12*r - 23*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*((-1274)\/(-2860) - 6\/11). Let -2\/3*s**4 - 8\/3*s**2 + 0*s + m + 8\/3*s**3 = 0. Calculate s.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a microgram in nanograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99640\/(-2632) + 22\/(-7).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/31, -112, -0.37, 1, -2, 2 in decreasing order.\nAnswer: 2, 1, -1\/31, -0.37, -2, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b - b + 1 - b. Calculate d(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 563.6035 kilograms in micrograms?\nAnswer: 563603500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0219 - 0.7929. Let d = c - -0.871. What is the closest to 79 in -0.2, 2\/21, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-2 + -6 + 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 138 + 5 + -3 + -3. Let z be -1 + 93*-1 + -3. Let a = z + r. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 m when three letters picked without replacement from rmmrjrrmj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -93.471 to 1 dp.\nAnswer: -93.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2611609 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/25, 25 in descending order.\nAnswer: 25, 2\/25, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/7 - (-2852)\/868. Let s = -39 - -43. Solve -2*v = w*y + 5, -v - s*v + y + 13 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3749 - -3752. Solve 0 = v*z + 3*z + 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.731 - -0.031. What is u rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 79*c**2 + 11*c. Let a(l) = -22*l**2 - l - 28. Let j(b) = -2*b**2 - 4. Let f(t) = 2*a(t) - 14*j(t). Determine 22*f(x) + 4*w(x).\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-910)\/728*(-8)\/30)\/(44\/18).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d. Let u(f) = 5001 + 7*f - 5001 - f. Determine u(o(z)).\nAnswer: 30*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 - o + 2. Let t(g) = 331222*g**2 - 12*g + 26. Let w(q) = -4*t(q) + 56*y(q). Let x be w(1). What is x rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13, 26, 41, 58, 77, 98?\n\"Answer: b**2 + 10*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 - 50*y**3 - 74 + 140.\nAnswer: -50*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51\/68)\/((-12)\/16) - 66\/4?\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (27\/5 + -3)*(-600)\/(-18). Is 83 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kujkkjuujkjj. Give prob of picking 1 k, 2 u, and 1 j.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*sqrt(114)*-3)\/(sqrt(54)*-1).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -7 - (3 - (1 - -4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -128981907 * 5.\nAnswer: -644909535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(((p\/p**(-3\/4))\/p)\/p)))\/(p*p\/(p\/((p\/(p**9*p*p))\/p)))*(p\/p**4)\/((p**(-4)\/p)\/p))**(-1\/29) assuming p is positive.\nAnswer: p**(-51\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.2 (b) -3 (c) 2\/7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 736503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -2*b**2 - 9*b + 10. Let x(i) = -12*i - 28. Let g(q) = -4*x(q) + 11*z(q). Differentiate g(h) with respect to h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k + 4*k)*(0*k + 3*k - k)*(10*k**2 + 10*k**2 - 5*k**2).\nAnswer: 120*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 657.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 5. Let j(g) = 6*g - 17. Is 4 a factor of j(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1768 + -0.18. What is k rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22\/6 + 8\/(-12) - -428?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-925)\/30)\/((-235)\/(-282))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) -3 (c) -853.9 (d) 5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 3348?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from ttttttttttttatttta.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10077144 is divided by 73.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**33)**(36\/11)*u**(-35)\/(u\/(u*(u**(-7)*u)\/u*u)) assuming u is positive.\nAnswer: u**67","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 385471?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111 - 132103?\nAnswer: -131332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 0.1, -0.1, 6, 83?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-6))\/((-1)\/4). Suppose 7*l**3 + s*l**4 + l**5 - 5*l - 3*l**5 + 11*l**4 - 12*l**4 + l**2 - 2 = 0. What is l?\nAnswer: -1, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -2622.\nAnswer: -5\/2622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(-3*o - o + 2*o) + 3*o - 2*o + 0*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9527 and 1860487?\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g - 38. Let u be z(-11). Let t = u - -87. Suppose -2*x + 7 = -f - 4*x, -4*f = -4*x - 32. Solve t - 10 = -f*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0)**3\/(m**(2\/7))**(-18))\/(m**3*m**(-1)*m*m**(4\/7)\/m**7) assuming m is positive.\nAnswer: m**(60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5066 and 35768.\nAnswer: 5329432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/150)\/((-2)\/(-3)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/425925 and 121\/45432?\nAnswer: 3407400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -6.7, -1\/2 in descending order.\nAnswer: -1\/2, -3\/5, -6.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*l + 3770 = -8710. Calculate the remainder when l is divided by 108.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 29*m**2. Let z(t) be the first derivative of 0*t**3 + 11*t**2 + 0*t + 1\/12*t**4 + 1. Let k(c) be the second derivative of z(c). Give a(k(p)).\nAnswer: 116*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 5*t**2 - 4*t - 1. Let f be o(2). Suppose 2*s - 562 = -4*a + 3*s, 5*a - 699 = f*s. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -160 - -161. Let i be (96\/15 - r) + (-14)\/35. Solve -i*m = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 6*r**3 + 55*r**2 - 137*r + 137. Let u(w) = w**3 + 11*w**2 - 27*w + 27. Let p(b) = 2*o(b) - 11*u(b). Is p(12) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 - 34*o + 108. Let t be z(13). Let f(i) be the second derivative of 4*i + 0*i**3 + 0 + 1\/12*i**t + 0*i**2. Let s(b) = 35*b**2. What is s(f(l))?\nAnswer: 35*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4\/7 (b) -5 (c) -0.2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1013*a**3*j - a**3 + a**2*j + 52*a*j wrt a.\nAnswer: 6078*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide -2 + (2 + 0)*221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6078 - 2491*g - 80*g**2 - 6078.\nAnswer: -80*g**2 - 2491*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hgh when three letters picked without replacement from {g: 2, h: 17}.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98936 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11\/18 + -5\/9. Let k(v) be the third derivative of 0*v + 7*v**2 + 1\/90*v**5 + 1\/9*v**3 + 0 + c*v**4. Find l such that k(l) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40383 is divided by 20149?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2863 (b) 0.5 (c) -93 (d) 3 (e) 0 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 183913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**4 + f**3. Let r(s) = -8 - 13*s**2 - 17*s**3 - 7*s**4 + 40*s**3 - 23*s**2 + 28*s. Let d(j) = 3*l(j) - r(j). Let d(u) = 0. Calculate u.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35977654, -35977653, -35977652, -35977651?\nAnswer: -35977650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -67*q**6\/6 + 336*q**2 + 47. Find the second derivative of k(u) wrt u.\nAnswer: -1340*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 62698*y**2 - 921*y + 9?\nAnswer: 125396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9877.3773 hours in weeks?\nAnswer: 58.7939125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*l + 560 = 37*l + 116. What is the closest to -6 in 3, l, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-five halves of a millennium?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-12)*1*(-36)\/12*40.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -53790 or -53794?\nAnswer: -53790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 1540.8?\nAnswer: 3081.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 8:58 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 16*k**2 - 74255 + 74255. Let g(l) = -71*l**2. Calculate g(p(w)).\nAnswer: -18176*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*r**4 - 10*r**4 + 9*r**4 + (97*r**2 - 97*r**2 + 15*r**3)*(2*r - 4*r + r) to v + m*r + w*r**2 + c*r**4 + d*r**3 and give c.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-1)*(-7)\/42*(-72)\/(-20).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + (-1 + sqrt(11) - sqrt(11) - sqrt(11)) + -5.\nAnswer: -7 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - r + 4 = 0, -9*o + 5*o - r + 2 = 0. Let b(v) = 2*v**3 + 5*v**2 + 8*v + 4. Let l(d) = -d**3 - d**2 - d - 1. Determine o*b(s) - 5*l(s).\nAnswer: 3*s**3 - 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**19*h*h)\/h*h**(-19) assuming h is positive.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 5*j**2 + 2*j + 4. Let u = -7 - -2. Let o = 9 + u. Determine m(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31273893, -62547788, -93821683?\nAnswer: -125095578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5361*o - 4*o**3 - 2680*o - 2681*o.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68 and 306.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 6*o**2 - 2. What is l(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 7*t. Let s be u(-6). Let y be (-3)\/(-2) + s\/4. Does 8 divide 17 - (y + 3 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 155631 and 77?\nAnswer: 1711941","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 11 - 1. Let d be ((-1)\/(-2))\/(l\/28). Let y = 5 - d. Let r(i) = -i**3 - 2*i**2 + i. Determine r(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 995?\nAnswer: -995.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 78133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/(-100))\/((-9)\/30).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -4*i**3 - 204*i**2 + 232*i + 1248 = 0.\nAnswer: -52, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 320566*h**2 - 112198108*h + 2800.\nAnswer: 2*(h - 350)*(160283*h - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 4*u - 4. Let y(r) = -1918*r**2 - 5 + 5*r + 3836*r**2 - 1920*r**2. Calculate -5*a(q) + 4*y(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 0.3, -4, -0.66.\nAnswer: -4, -0.66, 0.3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a milligram in micrograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 35\/(-126) + 8\/(-36). Sort 5, w, -10 in ascending order.\nAnswer: -10, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 4, s: 3, w: 2, d: 2, j: 3, n: 4}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -977*i**2 - 443545*i + 5878. Give t(-454).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -3. Differentiate -8 - 4*z**3 - 11 + r + 1 with respect to z.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6214, -6306, -6402, -6502?\nAnswer: -6606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 407 + -1048?\nAnswer: -641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*a**6 - 8*a**3 + 1906*a**2 wrt a.\nAnswer: -3960*a**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 125 and 48455725?\nAnswer: 242278625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*t + 141 + 211. Find the third derivative of 1694 - 1694 - 7*y**3 + t*y**2 wrt y.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/636807 and 85\/114?\nAnswer: 24198666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 720128173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let k be 236\/(-6) + 4\/(-6). Suppose 6*r = 2*r + 8, -4*r - 224 = -4*o. Let u = k + o. Calculate the lowest common multiple of u and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 19. Suppose 5*n = 4*g - 6*g + t, 3*n - 3 = 0. Let v(b) be the third derivative of -b**3\/6 + 2*b**2. Let w(z) = 2*z + 4. What is g*w(m) + 3*v(m)?\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-34 - 4) + (-3 - (3 - 10 - 0))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30\/193 + 4765\/386. Find the common denominator of 59\/2250 and w.\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 6:37 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - 23 - (-30 + 28 + -12).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 6*p**3 + 41*p**2 - 14*p + 25. Let d(b) = -b**3 - 8*b**2 + 3*b - 5. Let o(n) = -11*d(n) - 2*i(n). Give o(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 24. Let b be 20\/p - 0\/2. Determine u, given that 5*u - 5*u**3 + 6*u**2 + 0*u**b - u**2 - 5*u**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2353680, 2353682, 2353684?\n\"Answer: 2*f + 2353678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/4736 and 73\/159.\nAnswer: 753024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -183, 46, 190.\nAnswer: -183, -5, 0, 46, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 + 3709074*y + 1146435828123.\nAnswer: 3*(y + 618179)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) 3 (c) 0.25 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69 - -48 - (-7 + 2).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/17 and 31\/743.\nAnswer: 12631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*b = -113 + 276, -b = -2*i + 66. Suppose -d + 24 = -i. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16d2 (base 15) in base 10?\nAnswer: 4922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n. Let q(o) = 3*o. What is 5*q(c) + 30*x(c)?\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15985604 to the nearest integer?\nAnswer: 3998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 51\/7 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3121103322120 - -11?\nAnswer: -3121103322103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 10:36 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1464 + 1464. Which is the nearest to -1\/2? (a) 0.4 (b) 25 (c) 11 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 169 = 5*q, -2*q - q + 4*z = 91. Let b(t) = -4*t + 126. What is the tens digit of b(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(32\/44)\/8.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3*(-2)\/(-8))\/(1\/12). Sort t, -2, 3 in ascending order.\nAnswer: t, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 e when three letters picked without replacement from {d: 1, l: 2, z: 2, e: 1, v: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 805390, 805172, 804808, 804304, 803666?\nAnswer: 802900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -9*a**2 - 5*a**2 + 3*a**2 + 5*a**2. Suppose -5*b + 212 = 187. Let j(u) = b*u - 3*u**2 - 5*u - u**2. Give j(x(d)).\nAnswer: -144*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -361 take away -108661?\nAnswer: 108300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) - sqrt(13))*4 + sqrt(637) + 1.\nAnswer: 1 + 39*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z - 9. Let u be i(-13). Suppose -2*p + p = u. What are the prime factors of (36 - 3) + (-1 - 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 12:09 PM and 9:45 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 89 - 10. Let n = 66 + -45. Suppose -5*g + u + 51 = 0, 3*g + 0*u - n = 3*u. What is the greatest common factor of w and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*h**4 + 236*h**3 + 702*h**2.\nAnswer: 2*h**2*(h + 13)*(7*h + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**4\/5 - 168*x**3\/5 - 1438*x**2\/5 - 3108*x\/5 - 368 = 0.\nAnswer: -5, -2, -1, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/8*36\/(-3). Solve c*x + 14 = 4*j, -2*j + 0*x = -x - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 386482603?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c + 0*c + 2*c + (-1 - 3 + 1)*(0*c + 2*c + c) + 0 + 0 - c.\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2\/3)*g)**46\/(((g*g*g**(-2)*g)\/g*g)\/g*g*g)**3*(g\/(g**(-4\/3)\/g)*g\/g**(11\/5))**(-45) assuming g is positive.\nAnswer: g**(-122\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = x + 555, -x + 2*x + 3*l + 576 = 0. Is 1 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millisecond in microseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*h + 123 = -0*i, 5*h = 25. Let l = i - 184\/5. Are l and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1031*f**3 - 2*f - 1027*f**3 + 0*f + 4 + f**4 in the form d*f + s*f**2 + j*f**4 + i + z*f**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 9:28 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r - 3*r - r + (-1 + 2 + 1)*(r + 2 - 2) + 2*r - 2*r + 2*r - 163 - 4*r + 163 in the form m*r + h and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79 - -239. Calculate the highest common factor of 240 and t.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -7*n**3 - 3*n**2 + 5*n + 6. Let r be l(-3). Let d be 69\/r - 6\/51. Which is bigger: -0.3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 154, 149, 144, 139, 134?\n\"Answer: -5*a + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w**2 - 2696*w - 82388. Give i(-867).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148080 divided by 617.\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44\/(-55)*370\/(-4) - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 3*u + 6. Let r be g(-5). Let m(d) = d + 3. Calculate the remainder when m(-2) is divided by (-3)\/(1 + r) - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 808762.2km in centimeters?\nAnswer: 80876220000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -2 - 14. Let f = s - -7. Suppose 5*h - f*q + 17 - 42 = 0, -4*q + 25 = 5*h. Which is smaller: h or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/10 - (-19497)\/1005.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/4 (b) -0.4 (c) -0.2 (d) -2\/17 (e) 0.52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006232 to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3542 - 3537. Let j = -2 + 4. Let y = j - -23. Solve -v*u + y = 0, -5*h - 18 = -h - 2*u for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 108 + -97. Solve c - p + 7 = 3*p, 4*c = 3*p + z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*s + 2*s - 152, -2*s - 4*i = -70. Let j be (-1 + 1)*16\/32. Let h be j - 2 - (6 - 10). Solve 6*y = y + 3*w - s, -w - 6 = h*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = -3*z + 93, 3*n + 5*z + 22 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16718 and 1303361?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7726, 15591, 23496, 31447, 39450, 47511?\nAnswer: 55636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426 is divided by 209?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 179224004 to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 + 31.05386681668?\nAnswer: 30.15386681668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - -10. Solve -4*v - 1 = s for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/1 + (2 - 10) + 716. What is the greatest common divisor of 9 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x*x*x\/x**12)\/x))\/x*x\/x**(11\/5))**(-10\/19) assuming x is positive.\nAnswer: x**(-88\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, c: 1, z: 5, s: 2}. Give prob of picking 2 s.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1304338 is divided by 188.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 247038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/2)\/(3\/(-150)). Let a be (-2)\/(-5) - 2215\/p. Let u = a - 47. Does 21 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277*r - 1971 = 391*r + 806 + 529 for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15\/10)\/((138\/(-252))\/(-23)). Calculate the greatest common divisor of 1953 and h.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 242\/(-6)) + -3. Let k = -40 + d. Put -2, k, -5 in decreasing order.\nAnswer: k, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 188*q**2*t**2 + 234624*q**2 + 130*t**4 with respect to t.\nAnswer: 376*q**2*t + 520*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 5:11 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19237870?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 15*d - 1. Let w(p) = -7*p. Let g(s) = 13*w(s) + 6*y(s). Let l be g(-8). Solve -c = l*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100945.39 + 5.\nAnswer: 100950.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 0*v**4 + 0*v + 0*v**5 - 38\/7*v**7 + 0*v**2 + 0*v**6 + 233\/3*v**3 + 173. Find the third derivative of w(j) wrt j.\nAnswer: -4560*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -61570474?\nAnswer: -61570475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 7*w**2 + 5*w - 4. Let c be d(6). Let u be 105\/(-25) - 2\/c. Let r(p) = 2*p**2 - 9*p - 20. What is the tens digit of r(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 7. Find the third derivative of 3*w**2 - 2*w**2 + 2*w**x + w**5 wrt w.\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1176 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 5, 49, -5, -103, 3 in decreasing order.\nAnswer: 49, 5, 3, -3, -4, -5, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7656*n - 7680*n + 2*n**3 + 3*n**3.\nAnswer: 5*n**3 - 24*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2\/9 - 116*t + 5320\/9.\nAnswer: -4*(t - 5)*(t + 266)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 3*c**2 - 5*c. Give q(-5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 + 9 - f**3 + (-3*f**2 + 4*f - 4*f)*(4*f + f - 2*f).\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32 - -531?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 49*c + 726?\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 298.9 and 153.8568829?\nAnswer: 145.0431171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.06 (b) 30.7 (c) 2\/7 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 508 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 6908771*x**2 - 4*x + 2. Let w(d) = -d**2. Calculate p(w(c)).\nAnswer: 6908771*c**4 + 4*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10*(14220\/(-225) - -66)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**6\/120 - 11*q**5\/30 + 23*q**4\/24 + 11*q**3\/6 - 23*q**2. List the prime factors of h(21).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23680 is divided by 11825?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 25333 and 0.79.\nAnswer: 25333.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.3 and -66.\nAnswer: -64.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3377*k = -3386*k - 72 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5*y - 33. Let d be i(7). Suppose 3*v - 5 = 2*v - 2*a, -5*a + 35 = -d*v. Is (0 - 2)*-95 + v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10598 and 3?\nAnswer: 10595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308 = 50*y + 31*y - 2252 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 c when four letters picked without replacement from {c: 6, q: 13}.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2 - 10, 5*m + 5*c - 25 = 0. Suppose -m = -0*s - s. Suppose 0 = g, 2*g + s = f - g. What is the remainder when 23 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 59. Let l = -38 + v. List the prime factors of 40\/30 + l\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2459 + -507845.089.\nAnswer: -510304.089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -22*y**3 + 14*y**2 - 7*y + 3. What is v(1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5*(sqrt(432)*-2 + sqrt(432) + 0))**2.\nAnswer: 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3f2d - -4?\nAnswer: -3f29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -89 - -94. Solve -2*g - 4 = 4*d - m*g, d - g = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1395464?\nAnswer: 2, 7, 24919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 22*x + 3. Let h(o) = o**2 + 24*o + 2. Let v(y) = -6*f(y) + 5*h(y). Let z be 0 + 2 + 26\/(-2). Let u be v(z). Put -1, u, 1 in decreasing order.\nAnswer: u, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*p = 223*p - 60 - 168 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41.34 + 42. Let x = q - 0.16. Let i = 11 + -6. Which is the third smallest value? (a) i (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-587*x - 1513*x + 192*x)*(-1 + 0 + 3).\nAnswer: -3816*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 77 + -33 + -3 + -18?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1170767?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 16372.22 millimeters?\nAnswer: 16372220000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2.4 times 6296\nAnswer: 15110.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - q. Let n(b) = 4*b**3 - 2*b**2. Determine 2*f(s) + n(s).\nAnswer: 4*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 770 and 790?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 195.811 + -196. Let x = -0.2 - r. Let q = -0.011 - x. Which is the smallest value? (a) q (b) -5 (c) -2.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j - 8. Let o be f(6). Find the third derivative of 0*q**4 - 3*q**2 + 8*q**4 - 6*q**o wrt q.\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41500 rounded to the nearest 1000?\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 219600, 219591, 219582?\n\"Answer: -9*d + 219609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(-2 - 2*l**3 + 0*l**3 + 4*l**3).\nAnswer: -4*l**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -4. Let j(r) = 4*r + 1. Let v be j(x). Let p be (-537)\/(-12) + 2\/8. What is the greatest common divisor of p and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 5*b**8\/8 + 23*b**4\/6 + 8*b - 1. Find the third derivative of s(t) wrt t.\nAnswer: 4200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence non when three letters picked without replacement from {n: 13, o: 3, y: 4}.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/55 + 2\/(-132). What is the closest to 0.1 in g, 3, -0.08?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 1091 = 5531. Let a = 1267 + d. What are the prime factors of a?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -74 + 73. Let q = -19.92 - -25.4. Let p = -1.52 - q. What is the biggest value in -2\/13, p, g?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q - q - 5*q + 2*q + 1 - 1 + (3 + 6 - 4)*(0 + 0 - 2*q) + (2 + 2 - 2)*(2 - 2*q - 2).\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 p when three letters picked without replacement from {p: 7, x: 1, j: 5}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 1150*s + 14807. What is the hundreds digit of a(48)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 2. Let b(k) = -8*k - 2. Let f(s) = -51*s - 30*s - 1 + 1 + 80*s. Let p(t) = q*f(t) + b(t). Differentiate p(r) wrt r.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 893 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6047624 and 4598.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05153 + -0.4.\nAnswer: -0.34847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -56*z**3 + 13. Let y(o) = -281*o**3 - o + 64. Let a(s) = 11*x(s) - 2*y(s). What is the first derivative of a(j) wrt j?\nAnswer: -162*j**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 7, -6, 0, 6, -214 in ascending order.\nAnswer: -214, -6, 0, 5, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -23*v + 39. What is the tens digit of k(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3052 times -0.07\nAnswer: -213.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7521a - 5?\nAnswer: -75221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 d when four letters picked without replacement from lldnllnnl?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 57421, 114800, 172181, 229564?\n\"Answer: q**2 + 57376*q + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111\/74 - (-147)\/(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/11 (b) 2\/113 (c) 0.08 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + m - 3*m)*(775*m - 1594*m + 804*m + 173).\nAnswer: -15*m**2 + 173*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 188 - 198. Let j be (13\/65)\/(1 - (-8)\/m). Solve j = -v + 5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252.5167 millennia in decades?\nAnswer: 25251.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7909457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1189\/45 - 236\/9. Let k = 1 - -3. Which is the third biggest value? (a) v (b) k (c) 1 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/((-42000)\/1624 + 26)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 7:27 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (3 - (-6 - -3)) + 3\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbuhqhbhuupphbpbhub. What is prob of picking 2 p and 1 b?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 115 - 0 - (4716 - 4688).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-6 + -2 + 9 - (-3 + 6)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -105718 in 0.1, 4, 2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-10))\/(1\/(-2)*-4)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(-1\/2)))\/(m*m\/m**(2\/53))*(m**(5\/9)*m)**(2\/45) assuming m is positive.\nAnswer: m**(-102737\/42930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 917052\/34 - 66\/6171*11?\nAnswer: 2, 11, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*y + 111*y = 36 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280209 divided by -4061.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-75 - -8)\/(3\/((-6)\/(-4))). Let a = -32 - c. Factor -q**2 + 0*q + 0 - a*q**3.\nAnswer: -q**2*(3*q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (135\/(-6))\/((-3)\/20). Let p = -120 + r. What is the remainder when 179 is divided by p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.09 rounded to 0 decimal places?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 6:29 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 6*d + 0*d)*(-3*d + 2*d - d + (-3*d + d + 4*d)*(4 - 3 + 0) - 3*d + 2*d + 0*d)*(21 - 6 + 23)*(-1 + 1 + 2)*(-2*d + 4*d + d).\nAnswer: -1368*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, n: 1, p: 5, h: 1, v: 5}. Give prob of sequence novv.\nAnswer: 5\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 531*f + 14933 - 1658 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 448 + 31*t + 27*t + 1311 - 112*t + 26*t + 30*t.\nAnswer: 2*t + 1759","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2225136*f**2*x**2 + 1481505*f*x**2 wrt f?\nAnswer: -4450272*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 867 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + v = 1, p + 3*v - 10 = 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1041.831528 + 80\nAnswer: 1121.831528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5410631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/1144299816?\nAnswer: 1\/1144299816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 7. Suppose -35*s + 29*s + 1254 = u. List the prime factors of s.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 124901137?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5 - 2*x**4 + 128*x**3 - 370*x**2 - 1775*x + 6500.\nAnswer: -(x - 5)**3*(x + 4)*(x + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 4 + 18*k - 4*k - 12*k.\nAnswer: 2*k + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66105 + 106611. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 10*z. Let j(b) = 853*b + 0 - 859*b + 0. Give x(j(c)).\nAnswer: -60*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -2\/1136307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 916, 977, 1034, 1087?\nAnswer: 1136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 at most as big as 2832?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 680 and 681 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(1\/8)))\/(((u\/u**(2\/3))\/u)\/u)*(u*u**(3\/4))**(-26) assuming u is positive.\nAnswer: u**(-1055\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 891 - 287 = 0. Suppose -911 = 8*q + 977. Let f = t - q. List the prime factors of f.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 296 - 293. Solve 4*o - 2*i = -8, 3*o - 10 + f = -5*i for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -5\/11 (c) 31 (d) -15 (e) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-59)\/(-5) + 14\/70. List the prime factors of ((-16)\/u)\/(-1*6\/405).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 2*o = 7*f - 9*f + o - 8, 0 = -2*o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 919754 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -3. What is the nearest to 0.3 in -2, q, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7341098, -7341110, -7341118, -7341122, -7341122, -7341118, -7341110?\n\"Answer: 2*i**2 - 18*i - 7341082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-45)\/(-20)*(-16)\/(-6). Suppose -h*d + 4*d - 2*b + 7208 = 0, 4*d - b - 14406 = 0. Is (d\/(-4))\/((-14)\/28) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8918*k*o**4 - k*o**2 - k*o + 564638*k + 2*o**5 wrt o.\nAnswer: -107016*k*o**2 - 2*k + 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*g - 151*g = 10. Let f be 2\/3 - (-710)\/(-1110). Which is bigger: f or g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/1565, 2.6, 1041, -0.5?\nAnswer: 1041","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 169\/8*t**3 + 1\/80*t**5 - 13\/16*t**4 + 0*t - 24*t**2 + 1. Find a, given that g(a) = 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 679 is divided by 335.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**5\/60 + j**4\/6 - 4*j**3\/3 - 14*j**2. What are the prime factors of a(-11)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1671 - 1615 = 14*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 249445 times -0.018?\nAnswer: -4490.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 57885*1\nAnswer: 57885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - 0.4. Let k = d - -0.458. Let c = -0.418 + k. What is c rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 4*g = -288. Calculate the remainder when g is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 v, and 1 d when four letters picked without replacement from gbdzvrdvr.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6a470 + 385?\nAnswer: 6a845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29\/42 - 5\/14. Let 4\/3 + z*c**2 - 4\/3*c = 0. What is c?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*l - 958 = -117 + 122 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**2 - 450222912*l + 16891722540813312 = 0.\nAnswer: 75037152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4684*q**5 - 15*q**2 - 212875*q?\nAnswer: -93680*q**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 50*a**5\/9 + 162971*a**4\/9 + 44250154*a**3\/3 - 77043580*a**2\/9 + 5313800*a\/9 = 0.\nAnswer: -1630, 0, 2\/25, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -155850*w**2 - 181311*w wrt w?\nAnswer: -311700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 5*a + 2. Let c be l(5). Suppose c = -x, 3*s - 55 = -x - 0. Suppose -5*b - 3*y + 25 = 0, 1 + s = 4*b + 5*y. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16492 = -60*f + 29*f. Let l = f + -526. Solve 12*w - l*w = 30 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3178063, 3178061, 3178059, 3178057, 3178055, 3178053?\n\"Answer: -2*h + 3178065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 413005 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3056 - -11597. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 181116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.2, -2\/9, 0 in ascending order.\nAnswer: -2\/9, 0, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 324, 323, 332, 357, 404, 479, 588, 737?\nAnswer: 932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3195343 rounded to 2 decimal places?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-29) - (-642)\/1624. Let v(c) be the first derivative of -2\/21*c**6 - 12\/35*c**5 - 1 - 2\/7*c**3 - k*c**4 - 1\/14*c**2 + 0*c. Factor v(f).\nAnswer: -f*(f + 1)**2*(2*f + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1167045*k + 562991.\nAnswer: 1167045","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76 and 957182?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 10:54 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33*t**2 - 3*t**2 - 5*t**2)*(-4*t + 4*t - 2*t)*(18*t + 20*t - 33*t) to y*t + z*t**3 + d + c*t**2 + k*t**4 and give k.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 45, 76, 111, 150?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 107*k - 2. Suppose 3*l = -0*l - 5*y - 13, 2*l + 4*y + 12 = 0. Suppose 3*c - 1 = -2*t, -2*t = -l*c + 6 + 14. Is n(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37084?\nAnswer: 2, 73, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 823. Let l(n) = 9. Give 2*l(w) + x(w).\nAnswer: w + 841","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 10 + 16. Suppose 5*j - 541 = 5*q + 514, -4*j + 844 = -p*q. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340778451 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -54524?\nAnswer: 10904.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 3*b = -8, i + 9 = -4*i + b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/37 in 0.4, -4\/7, -365, 51, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5*i + 13. Let l be w(4). Let p(t) = -3*t + 6. Is 4 a factor of p(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*r - 3*r. Let t(x) = 2*x. Let q be t(r). Solve 0 = -0*l - 2*l - q for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 21*u**2 - 25*u + 14. Let y(z) = -11*z**2 + 13*z - 7. Let c(n) = 6*a(n) + 11*y(n). Let l(x) = -2*x**2 + 4*x - 4. Calculate 4*c(i) + 7*l(i).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -674, -5462, -18452, -43742, -85430, -147614?\n\"Answer: -683*o**3 - 3*o**2 + 2*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2194287\/682 + 35410\/11. Calculate the common denominator of -43\/20 and i.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - y - 3*y)*(5*y**4 - 4*y**4 + y**4) + (-y + y + 2*y**3)*(8*y**2 - 7*y**2 + 0*y**2).\nAnswer: -2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((-20)\/4)\/5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, -2 in increasing order.\nAnswer: -3, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -7*u + 112. Let c = u - 12. Suppose -3*i = -c*d + 199, -3*d + 4*d = -i + 55. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 5:25 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1227 divided by -3?\nAnswer: -409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/2 - (0 + -1). Let i = 212 - 208.83. Let g = i + -0.17. What is the third biggest value in -1\/2, d, g?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.82 + 1.28. Round i to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + 1*sqrt(136))*-2)\/((sqrt(64)*-1)\/sqrt(8)).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 22 = 4*b - 2*b, 0 = 2*b + 4*n - 22. Suppose -i + b = -3*d, 4 = -3*d - 2. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18 - (0 - 1)*2. Suppose 7*r = 2*r + y. Find the second derivative of -h - r*h**3 + 0*h**2 + h**3 + 0*h**2 wrt h.\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 64*r**4 - 121*r**4 + 58*r**4. Let o(m) = -5*m**5 + 5*m**4 + 20*m**3. Let z(w) = -5*j(w) + o(w). Let z(n) = 0. What is n?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -3*f - 30 + 15, -5*f - 25 = 0. Solve 2*i + 10 = -d*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 10:50 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8996647322400 minus 0.03?\nAnswer: 8996647322399.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(2000) - (1*sqrt(2000) - sqrt(2000)))*1)\/(((sqrt(210) + -1*sqrt(210) + sqrt(210))\/sqrt(7))\/sqrt(3)).\nAnswer: -4 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.054 + -21.054. Let q = -20.8 - y. Let w = -4.06 + 0.06. Which is the second biggest value? (a) 0.5 (b) q (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1120\/3*g + 313600\/3 + 1\/3*g**2.\nAnswer: (g + 560)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/((((q\/(q*(q\/q**(-3)*q)\/q))\/q)\/q*q)\/q))**(5\/6)*(q**(-4))**(-2\/179))**42)**(-21\/2) assuming q is positive.\nAnswer: q**(-928011\/358)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -34, -22, 4, 50, 122?\n\"Answer: a**3 + a**2 + 2*a - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 3*z - 784 = 0. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 820*o - 820*o - 28*o**3.\nAnswer: -28*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 993*w + 963 with respect to w.\nAnswer: 993","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**3 - 391*u**2 + 13*u + 302. Determine z(0).\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (2 + -6 - 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.028 + -5.028. Let z = 1.69 - 2.09. Which is the second smallest value? (a) z (b) -2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/5 - 1398*y - 13992\/5.\nAnswer: 3*(y - 2332)*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*s + 17*s. Suppose -c + 670 = z, -27*c + 29*c + 5*z - 1334 = s. What is the highest common divisor of c and 192?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 1 = z. Let g be 2\/(-6) + z\/(-9). Let m = 8 + g. Solve 5*w + 16 = -m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2533189 is divided by 21651.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y - 1. Suppose 2*d = 5*a + 3, -a + 0*a + 5*d = 19. Let s(o) = 2*o**2 - 2*o - 3. What is a*u(z) - s(z)?\nAnswer: -2*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-7)*63\/(-72)*10\/35\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - z + 15. Let h(v) = -v**2 + 17 - 2*v + z*v**2 - 6*v - 5*v. What is the units digit of h(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*n + 3*x + x, 3*n - 6 = -3*x. Suppose 0 = -4*s - 2*i + 40, s - n*i + i = -12. Solve s + 2 = 5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 990 = -16*g. What is the smallest common multiple of g and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11608584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3 + 1 = 0. Let u = 2.2 - 2. Let v = -191\/7 - -27. Which is the closest to v? (a) f (b) 0.4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 7*s + 48 = 0. Suppose k - s + 3 = 0. Suppose k*n - 18 = -3*p, 7*p = 2*p + 4*n + 12. Solve -2*l + p = -0*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**6\/10 - d**5\/60 + d**4\/24 + 1523*d**2. Suppose -5 = -m - 2. Let i be (-2 + m)\/(0 - -1). What is w(i)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 521092?\nAnswer: 2, 11, 13, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2 + 2*w + 3. Let u(n) = 2*n**2 - 3*n - 4. Let t(h) = -5*f(h) - 4*u(h). Let b = 5 - 7. What are the prime factors of t(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 g when three letters picked without replacement from {f: 1, a: 1, j: 2, v: 1, r: 2, g: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-29 + (-2)\/((-8)\/4))*-4. Suppose -2*x + 5 = 13, -f = -3*l - 2*x. What is the second derivative of -2*v**4 + 5782 - 5782 + l*v wrt v?\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 80 - (9 + (14 + 1 - (-160 + 182))).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -26*p**2 + 1389*p + 945. Calculate o(56).\nAnswer: -2807","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 7*o**2 - 5*o - 8. Let j be y(-6). Let q = 46 + j. What is the highest common divisor of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08026586 + -0.009\nAnswer: 0.07126586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5605, -9, -4, -2\/3, 0.5 in descending order.\nAnswer: 0.5, -2\/3, -4, -9, -5605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2209 + (-1)\/(4\/8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19527988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 16*p + 35. Let o be m(-15). Let g be (-6)\/((-24)\/o)*-1. Let q be (1\/2)\/(g\/(-30)). Which is the closest to -0.13? (a) -0.2 (b) q (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1003145400 to the nearest one hundred thousand.\nAnswer: 1003100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/5*(-12)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-12)*d**13*(d**7)**(2\/5) assuming d is positive.\nAnswer: d**(19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2055777.7526 from 6.\nAnswer: -2055771.7526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/15))**(-9\/4))**24 assuming z is positive.\nAnswer: z**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -148*d. Let y(a) = -95*a. What is y(j(h))?\nAnswer: 14060*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52.6 + -58. Let p = -5 - h. Let f = 0.2 + -0.2. Which is the nearest to f? (a) p (b) -1\/6 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 26 = -4*f, 2*z - 2 = 2*f + 20. Suppose -z - 10 = 5*m. Let y(q) = -q**3 - 5*q**2 - 6*q - 3. Determine y(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(-5*f + 4*f + 2*f - 3*f - f + 2*f + (-3*f - f + 5*f)*(-2 - 1 + 2) - 3*f + f + 0*f + 2*f - 4*f + 4*f - 2 + 2 - 2*f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 277*q - 6366. Calculate z(23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-2\/31)*x))\/(x\/((x*x\/(((x**21*x)\/x)\/x*x*x))\/x)) assuming x is positive.\nAnswer: x**(-680\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9758, -38945, -87544, -155555, -242978, -349813?\nAnswer: -476060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -221*f**2 - 29*f**4 + 221*f**2 - 5*f**4 + f**4 + 2*f**4 + (-f**2 + 0*f**2 + 0*f**2)*(-1 - f**2 + 1) + 71*f + 24*f**4 - 71*f - 6*f**4 + 4*f**4 + f**4.\nAnswer: -7*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 1\/5, -20, -2\/7, -141, -5 in decreasing order.\nAnswer: 1\/5, -2\/7, -4\/7, -5, -20, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, 415, 1\/2, 2\/7, -68003, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4096*v = -4101*v + 8150*v - 117 - 1810 for v.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -9*q**4 - 14*q**3 - 57*q**2 - 31*q - 7. Let m(z) = 10*z**4 + 12*z**3 + 58*z**2 + 32*z + 8. Let o(u) = 7*m(u) + 8*y(u). Factor o(h).\nAnswer: -2*h*(h + 1)**2*(h + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2160315 (base 12) to base 11.\nAnswer: -3644657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(2\/5))**(-16\/7))**(-8\/7)\/((h**(2\/19)\/h)\/(h**6\/h*h)*(h\/(h\/(h\/(h*(h**(-2\/7)\/h)\/h))))**7) assuming h is positive.\nAnswer: h**(-35089\/4655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 1209*g - 4844. What is a(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -3 + -7 - (-82 - -40).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 834088730, 834088731, 834088732?\n\"Answer: u + 834088729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 40 - 18 + 38*s.\nAnswer: 38*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -12 - 2 + 135*f**2 - 67*f**2 - 70*f**2. Let b(t) = -5*t. Calculate x(b(u)).\nAnswer: -50*u**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 6. Determine o(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 m when three letters picked without replacement from dmddmddddddddddddddd?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*p - 36 = -6*p, 4*j - 39 = -3*p. Suppose j = -2*u + 5*u. Let y(x) = -x**3 + 4*x**2. Let f be y(u). Which is bigger: f or -1\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4780 = -45*u + 2308 - 383. What is the remainder when u is divided by 76?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/((-6)\/36*-5). Suppose 6*y - 2*y = 2*q + 24, 3*y = -2*q + 4. Solve -3*i + s + 1 = 0, 2*i - s = c - y for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -869 = 7*f - 1604. Find the second derivative of -i**4 + f*i - 41*i - 47*i - 74*i - 92*i**3 wrt i.\nAnswer: -12*i**2 - 552*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 f when four letters picked without replacement from fkikkfiffkkifffikk.\nAnswer: 49\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j + j + 0*j)*((2*j + j - 2*j)*(6 - 1 + 10) - 5*j - j + 3*j) to the form a + z*j + x*j**2 and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -8*y**2 - 36. Let m(u) = 4*u. What is m(c(a))?\nAnswer: -64*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -135*g**3*p + 7*g**3*r**2 - 534*g**2*r**2 + 3*g**2 + 7104*g*p*r**2 + 2*g*r**2 + 2*r**2 wrt p.\nAnswer: -135*g**3 + 7104*g*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -176, -257, -334, -407?\nAnswer: -476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.01 (b) 35 (c) -9\/2 (d) 1\/2 (e) -2 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(176) - sqrt(176))*2 + 2 + 0 + sqrt(176) + 0 + sqrt(176) + -2)**2 + -3.\nAnswer: 2813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6930096 to the power of 1\/3, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**8\/336 - g**7\/105 + g**5\/30 + g**4\/24 - 7*g**2. Solve w(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -4*l - 34, 3*l + 13 = 17*i - 13*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lu when two letters picked without replacement from ltluzccz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -z - 16. Is 37 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39054995.\nAnswer: 5, 7, 1115857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15675716*a*x**3 - 26*a - 126421 wrt x?\nAnswer: -47027148*a*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100.8, 5, -3 in ascending order.\nAnswer: -100.8, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/(-40) - 49\/(-2). Let w be 38\/12 - 4\/x. What is the third derivative of 10*l**2 + 28*l**3 - 16*l**w + 0*l**2 wrt l?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/160 and -25\/128?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3811613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(2\/13))\/q)**(-31))**36 assuming q is positive.\nAnswer: q**(2232\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*c + 97*c = -24. Let -11*d - d**3 - c - 19\/3*d**2 = 0. What is d?\nAnswer: -3, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -33*g + 2. Let s(p) = -84992*p + 5120. Let h(j) = 2560*d(j) - s(j). Let b(f) = 11*f. Calculate b(h(i)).\nAnswer: 5632*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.8 + -2. Let w = -5429 + 27664\/5. Let v = 104 - w. Which is the third smallest value? (a) -4 (b) t (c) v (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11112210002 (base 3) to base 9\nAnswer: 145702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 835*q + 14*q**3 - 1830*q + 995*q.\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/21 (b) 0.03 (c) 41 (d) -1200 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 4) + 7 + 2. Let k be c\/(4\/2) - 11. What is the remainder when 88 is divided by 10\/(-40) + (-242)\/k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7997 - 3630. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 + 29 - 6) + 2\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90449 is divided by 152?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6667 and 9?\nAnswer: 60003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 450*p**4 - 19542*p**3 - 2840673?\nAnswer: 1800*p**3 - 58626*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 252456 (base 7) in base 10?\nAnswer: 46542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/(-27) - 1442\/3. What is i rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 148*a**2*d**3*z**3 - 3*a**2*d*z + 3*a**2*z**3 + a**2*z**2 - a*d**3 - 2*a*d**2*z wrt z?\nAnswer: 888*a**2*d**3 + 18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 9428*h**4 + 537468*h**3 + 2936212*h**2 + 2426532*h + 18360 = 0?\nAnswer: -51, -5, -1, -18\/2357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10780837\/4 in 0, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1011833?\nAnswer: 43, 23531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**3 - 114*s**2 - 616*s + 213. What is f(62)?\nAnswer: 461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22 + 9195?\nAnswer: 9173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*k - 266 = 0. Suppose -3*v + 8 = -7. Suppose v*c - 1320 = -5*t, -t - c + k = -2*c. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-6) + (-4)\/(-6). List the prime factors of (-6 + u)*150\/(-35).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111111001110000010 (base 2) to base 12.\nAnswer: 105a2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or -6227\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in thirteen fifths of a millisecond?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 smaller than 190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1254 - -16785?\nAnswer: 18150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 - 16. Let c = i + -8. Solve 3*s + 8 = -f, c = -4*s - 0*f + 2*f for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -7*v - 5*u - 35, -2*v - 5*u - 26 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 2471, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25178161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68442 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6453016*h**2*k**2 - 16873*h**2*k - 4*h**2 + h*k wrt k.\nAnswer: -12906032*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - -3)\/((-4)\/(-44)). Let p be 2 - (-1 - c)\/(-5). Let j be ((-24)\/(-3))\/(3\/12). Calculate the greatest common factor of j and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -13\/2 (b) -1 (c) 3\/2 (d) -0.1 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -187607.9071 - -187617. Let h = 9.14 - z. What is h rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 6*x + 4 = 0. Let p be (-6)\/(-2) - (2 - (x + -1)). Find the second derivative of -84*r + 20*r + r**p + 32*r wrt r.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 15. Let b = t - 10. Solve j + b*m = 7, 10 = 5*m - 0*m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33968125 divided by 33968125\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2969 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*c - 60. Let v be (c\/8)\/(6\/(-16)). Suppose -5*a + 53 = 13. Solve 3*f - 8 = v*y - 0, 2*f - a = 4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -1 - (-17 - -33 - 18)) + -14?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -14*x + 5*x - 8*x**2 - x**3 - 1 + 13 + 3*x. Let t be h(-7). Suppose 0*i = -t*i + 140. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 0 + (3 - 1). What is the units digit of 9 + y - (-3 + 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 6*v + 14 = 0. Let w be (-5)\/v + 42\/147. Suppose -m + w = -11. Sort -4, 1, m in decreasing order.\nAnswer: m, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1198584 or -1198581?\nAnswer: -1198584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 5*l + 45, -4*o + 8*o + 11 = l. Is 4*((-193)\/o - 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(5 + 3 + -6). Let c(q) = -q**2 + 3*q + 1. Let o be c(v). Let b = o - -16. What is the remainder when b is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -1. Let r(p) = 26*p**2 - 2. Let d(k) = r(k) - 2*w(k). Let u(f) = 2*f**2. Determine u(d(x)).\nAnswer: 1352*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((-2)\/(-7026)*3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -20. Let s(u) = -u**2 + 5*u - 3. Let a be s(4). Sort a, x, 1\/8 in decreasing order.\nAnswer: x, a, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vnv when three letters picked without replacement from {v: 2, n: 5, b: 2, o: 4, s: 1}?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dgp when three letters picked without replacement from pffkfpfpdwggdpppw?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81716 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 50864346.\nAnswer: 152593038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6*15 - 168\/32?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 10 - 16 - 15*v.\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 879037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-6))\/(1\/(-6)). Suppose w*a = 31 + 2. Suppose -2*d + 3*c - 2 + 11 = 0, -3*c = 4*d - 27. What is the remainder when a is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 12:18 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126196 is divided by 125?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one eighths of a microsecond in nanoseconds?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -17. Let p be (-1)\/(-1 + h\/(-3)). Suppose p*c + 3*c = 162. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1065 divided by 3\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -31*n - 60. List the prime factors of q(-6).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**6\/24 + 11*i**5\/72 + 35*i**4\/144 - 25*i**3\/18 - 13*i**2 + 3. What is p in j(p) = 0?\nAnswer: -1, 5\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 plus 29?\nAnswer: 27.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 + 9*d)*(-3 + 1 - 2) + (1 + d - 1)*(-4 + 0 + 6) + 4 + 2*d - 4.\nAnswer: -32*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*((w\/(w\/w**(-1\/5))*w)\/w)\/w)**11 assuming w is positive.\nAnswer: w**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, -198, 1, -5, 9, -2 in increasing order.\nAnswer: -198, -5, -2, -4\/5, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 1198*u**2 + 5*u. Let h(p) = 4*p. Give h(s(y)).\nAnswer: 4792*y**2 + 20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 282, 556, 1106, 2070, 3586, 5792?\nAnswer: 8826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -1303*u + 80. Let k be ((-1)\/((-9)\/(-6)))\/((-48)\/(-216)). Is a(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 7.196?\nAnswer: -8.196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 545.15 - -2778.75. Round d to the nearest 100.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -1\/135*t**6 + 1\/54*t**4 + 1\/27*t**3 + 0*t**2 + 0 - 1\/90*t**5 - 4*t. Suppose c(u) = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*z - 2*z + 7*z)*(-4*z + 4*z + z**4).\nAnswer: -16*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6184799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 377 + 53645?\nAnswer: 54244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - z + 79 = 3*w, -2*z - 85 = -3*w. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 567753513 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuu. Give prob of sequence uuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -4*p - 19 - 18, 3*d - 27 = 4*p for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 17825 divided by -23\nAnswer: -775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8047 - -16363. Does 231 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 4*j = 88, 6322368*j = s + 6322372*j - 42 for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j + 0 + 0)*(-6*j + 3*j + 2*j + (-18*j + 14*j - 9*j)*(6 - 1 - 2))*(2 - 1 - 3) to the form u*j + r*j**2 + i and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*m - 4*m**2 - 22*m + 3*m**2)*(-3*m - m + 0*m).\nAnswer: 4*m**3 + 44*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 115890521 to the nearest integer?\nAnswer: 10765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -296 - -304. Suppose 2*w - 30 = -o. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4 + 22*w**3 + 2*w**2 - 22*w.\nAnswer: -2*w*(w - 11)*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 12*y - 8. Give f(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, i: 2, w: 2, f: 2, x: 1, r: 1}. Give prob of sequence wxwf.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(6*(sqrt(245) - (sqrt(245) - (1 + sqrt(245)))) - sqrt(245) - sqrt(245))*1 + 4*(sqrt(245) + (sqrt(245) - -4*sqrt(245)*1) + 1).\nAnswer: 28 + 280*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -1 (b) 5 (c) 0 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 - 2)*(-2*x + 4*x - x)*(0 + 0 + 1) + (17 + 2 - 4)*(5 - 2*x - 5) to l + k*x and give k.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 25 = -5*k, 2*k + 2*k = -v. What is the least common multiple of v and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**2\/3 - 2089*f\/3 + 870550\/3 = 0?\nAnswer: 575, 1514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13220213 + -3?\nAnswer: -13220222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -188*n + 12770. Is k(12) a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 99 + 5\/((-20)\/(-16)) - (15 - 18).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16798 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 20 - 3*g**2 - 2824*g**3 + 3*g**2 + 2821*g**3 to the form p*g**3 + j*g + q*g**2 + f and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283*(-6)\/3*4005\/(-30).\nAnswer: 3, 89, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 240 - 10 = 0. Calculate the highest common factor of j and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/1710 and 9\/20.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.2, 2\/5, -1526\/2621 in descending order.\nAnswer: 2\/5, 0.2, -1526\/2621, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 2*i**2 - 22*i + 2. Let s(n) = -n**2 - 1. Calculate -f(h) - 2*s(h).\nAnswer: h**3 + 22*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -2. Suppose 0 = 3*z - f + 29, 0 = 2*z + 2*f + 3*f - 9. What is the units digit of s + (-1 - (-2 + z))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9042107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 10 and 4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3337, -2\/7, -0.04 in increasing order.\nAnswer: -3337, -2\/7, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -322495735, -322495733, -322495731, -322495729, -322495727, -322495725?\n\"Answer: 2*g - 322495737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 428 - 296. Calculate the smallest common multiple of q and 30.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 47\/7 - (-6)\/21. Let p = d - 5. What is the second derivative of -2*c + 3*c + 3*c**p + 0*c - c**2 wrt c?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -403 = 3*v - g - 0*g, -5*v - 700 = 4*g. Let a be (v\/(-22))\/(-4) + 1. What is the biggest value in 0.2, a, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -464 + 889. Suppose p - 84 = 11*w. What is the remainder when w is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 8*w**2 + 8*w + 5. Let q be g(7). Let x = 0 + q. Suppose 3*v + x = 39. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 4*n**2 - 2*n - 3. Calculate j(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k - 6. Let a = -53 - -82. Suppose -5*t = 9 - a. Is r(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - 1.7. Let n = 0.9 + -1.2. Which is the biggest value? (a) m (b) -7 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-95)\/1710*(6\/(-4))\/(-1).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 41 times 0.0129\nAnswer: 0.5289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1153533?\nAnswer: 3, 29, 13259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -435 (base 8) in base 12?\nAnswer: -1b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**2 - 31*x + 92. Let a be k(3). Suppose 17*j = a*j - 4635. Does 24 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3\/4, -1323, -1\/6, 0, 0.02, -2\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*s + 279*s - 14307 + 45177 + 14610 = 0 for s.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f. Let i = 25 - 22. Let q(l) be the third derivative of 0 - 8*l**2 + 1\/30*l**5 + 0*l**i + 0*l + 0*l**4. Calculate y(q(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 9) to base 15.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-7) + (-44)\/(-14). What is the third derivative of 0*r**2 - r**2 + 10*r - i*r**6 - 10*r wrt r?\nAnswer: -360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 3:41 AM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 7:50 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 1, 14, 40, 15, -4 in increasing order.\nAnswer: -4, 0, 1, 5, 14, 15, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 135 = j + 120, -5*q - 5 = j. Let k(d) = -29*d**2 - 3*d + 2. Let c(v) = -14*v**2 - 2*v + 1. Calculate j*c(l) - 3*k(l).\nAnswer: 17*l**2 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.076 and 795?\nAnswer: 60.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((28\/(-50))\/((-38)\/380))\/(5*15\/750)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 2*b - 2. Let n(x) be the first derivative of -x**3\/3 + x**2\/2 - 2*x - 6. Let f be n(2). Is 7 a factor of i(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62744.225 rounded to the nearest 100?\nAnswer: 62700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456649.\nAnswer: 456649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2646*a**2 + 380*a**2 + 1 + 473*a**2. Suppose 5*z - 5*h - 20 = 0, 5*z = -4*h - 10 - 15. Let n be j(z). Round n to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2*d - 1, d = -5*p + 4*d + 16. Suppose -6*x + p = -7. Solve -i + 3 = x*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (27\/6)\/(15\/(-16) + 1). Suppose 2*l + 2*q + 11 = 45, -3*q + 75 = 5*l. What is the greatest common factor of l and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.129*-3.\nAnswer: -0.387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 21645735 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 29675 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: Suppose 24 = f + 5*b, -f + 2*b = -5*f + 6. Let n be -2 - (-1)\/(0 - f\/15). Calculate the highest common divisor of n and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -159*g. Let t(z) = -27*z**2 + 306*z + 13. Determine p(t(s)).\nAnswer: 4293*s**2 - 48654*s - 2067","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 11:32 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1133)\/7931)\/(2\/14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = b - 16. Sort 1, b, 5.\nAnswer: 1, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6896048 greater than -6896039?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 5*p + 10, 0 = -2*o - 2*p - 88 + 100 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express h**2 - h**3 + h**2 - 2883*h**4 + 2884*h**4 - 15 in the form u*h**4 + m*h**2 + x*h**3 + v + g*h and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34\/9 + (-26)\/(-117) + 2496?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.8 and 0.0198.\nAnswer: 0.03564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + t**2 - t + 16. Let z be d(0). Suppose 11 - z = 5*s. Let n = 736\/11189 - 6\/167. Which is bigger: s or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 5, -1, -3, 3, 100 in ascending order.\nAnswer: -11, -3, -1, 3, 5, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 198*a*c**3 + 2*a*c**2 - 342*a*c - 2*c**3 wrt c?\nAnswer: 1188*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43099954*x**5 + 11*x**2 - 5339255?\nAnswer: 2585997240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 0 + 3 - 6 - 14*c**3 in the form d*c + o*c**3 + j*c**2 + k and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -21. Suppose 0 = 2*s + 3*c + 2*c - 17, -3 = 3*s - 2*c. What is the nearest to -1\/5 in s, -3, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*q - 353 = -258*q + 777 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4 - 1653*g**3 - 11612*g**2 - 13296*g + 26560.\nAnswer: (g - 1660)*(g - 1)*(g + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-160)\/(-24) + -4)*-3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 624004439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nunuuu. Give prob of sequence uuuu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 9 + 2 + 2 + -27 + (49 - 48).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3 - 6 - m**2 + m + 3*m**2 - 3*m**2. Suppose -19*d + 21*d = 3*q + 2, -40 = 5*q + 4*d. Give y(q).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18802838 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 22*j**2 - 19*j - 1. Suppose -28*m = 9*m - 777. Calculate the remainder when o(m) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 3*u = -3, a = -3*a + 4*u + 4. Solve a*y + 2*y - 4 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 8b00a?\nAnswer: -8b00b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiii. Give prob of picking 3 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 50236\/32 + -9 - 1\/(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/6)\/y**(-18)*y**(-20)*y**(-1\/2) assuming y is positive.\nAnswer: y**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20d00 (base 16) to base 6.\nAnswer: 2514120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*i + 8. Suppose 2*n = -5*a + 25 - 7, i*n = -a. Find the first derivative of 1 + 2*z + 1 - a*z wrt z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h. Let g(y) = y. Let f(k) = k**2 - 11*k - 75. Let t be f(-5). Determine t*d(c) - 6*g(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 102460388 or 102460391?\nAnswer: 102460388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 63\/(-504) + (-14638)\/16. Is -1\/2 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(24)\/(sqrt(12)\/sqrt(4)))\/(1*sqrt(16)).\nAnswer: sqrt(2)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b. Let w = -26 + 28. Let s(h) be the first derivative of 0*h + 1 + 0*h**w + 1\/3*h**3. Determine z(s(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3276*k**4 + 248061*k**3 - 873972*k**2 - 261696*k - 6912 = 0. What is k?\nAnswer: -1\/4, -8\/273, 4, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1098 + -75764\/69. Let n be (-2)\/(-7) - (57849\/(-2898))\/(-11). Let f = n - d. What is the smallest value in f, 5, 0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 2*b - 2. Let o be y(3). Let n = -1045\/7 - -150. Which is smaller: o or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-3 - 63\/(-12)) - (-15106)\/498?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123303 (base 4) to base 16.\nAnswer: 6f3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12 - (8\/2 - 2). Suppose -q = -m - 7. Is (3 - 0 - m) + 22 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-653 - 650 + 1279 + 2*s)*(s**4 + 2*s**3 - 2*s**3).\nAnswer: 2*s**5 - 24*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/13440 and -71\/11200?\nAnswer: 67200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -492, -5, -3, 1 in descending order.\nAnswer: 1, -3, -5, -492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51751, -51701, -51649, -51595, -51539, -51481?\nAnswer: -51421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 130) + -95 + 101 + 8?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/20 of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*j + 119. Suppose 3*f = -5*d + j, -2*d - 2*d + 17 = f. Suppose -f*w = -4*w. Solve -3*h + 4*r = h - 4, w = 3*h - 4*r - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -345eef - 126?\nAnswer: -346015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2019\/2 + 3\/2*h**2 - 1008*h.\nAnswer: 3*(h - 673)*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/1050*36\/9?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -161*j**6*w + 316*j**4*w**2 - 30*j**2*w + 2*j**2 - 6*j*w**2 + 4*j*w wrt j?\nAnswer: -19320*j**3*w + 7584*j*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/2 + 12206*v + 24410.\nAnswer: (v + 2)*(v + 24410)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.8 + 4.8. Let v be 8\/(-20) + 8\/(-5). Is v >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 237645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + -15 + (24 - 7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7014750779.\nAnswer: 59, 118894081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 792655 and 188.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -0*n - 2*n. Let g = n - 5. Suppose 0 = -g*z + w - 2*w + 517, -3*z + 2*w + 396 = 0. Round z to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 24 = -3*t - 2, 0 = 3*s + 3. What is the smallest common multiple of 5 and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -257 + 556 - 13*m - 221 - 2*m**2. What is z(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -593380, -593379, -593378?\nAnswer: -593377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -104325431*t**5 + 81125014*t**2.\nAnswer: -6259525860*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47392924 is divided by 129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 15?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, n: 4, r: 4, z: 2}. What is prob of picking 1 r, 1 q, and 1 z?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001494256744 rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 3*s - 35, -58*m + 7 = -55*m + 5*s. Let k = 9 - 4. Let q be 4\/2 + (k - 1). Solve -q - m = 4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppbppppppppbpppbpbp. Give prob of picking 3 b and 1 p.\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 - -131?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 32*v - 171. Let n be k(-51). Let s be (1\/(-4)*1)\/(n\/(-1064)). Factor 1\/3*m**3 - 1\/2 - 1\/6*m**4 + 2\/3*m**2 - s*m.\nAnswer: -(m - 3)*(m - 1)*(m + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -207 + 222. Solve -5*b - a = -5*v, -4*v + 4 = -b + 1 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171 + 3 = -21*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 12.768. What is f rounded to two decimal places?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8990712715 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 68015069 divided by 5?\nAnswer: 68015069\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/2326 + -1175\/9304. What is the second biggest value in i, -1\/65, -2\/13, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7177, 7181, 7187, 7195?\n\"Answer: s**2 + s + 7175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of q**6\/2 + 8*q**5\/5 + 13*q**4\/12 + 2*q**3\/9 - 8. Solve o(d) = 0.\nAnswer: -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -10521652.\nAnswer: 3\/10521652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -355660 (base 9) to base 15.\nAnswer: -436ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + 0.2. Let i = -325 - -649\/2. Which is the biggest value? (a) i (b) z (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20430\/63 - (-12)\/7. Solve 0 = x*a - 330*a + 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 + 2 - 2)*(-28*u + 46*u + 47*u)*(2 - 2 + 1).\nAnswer: 65*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-50))\/(-1*(-4)\/(-68)*-1)\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20209381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**4\/15 - 681374*x**3\/5 + 232157744924*x**2\/5 - 79131418317835832*x\/15 + 2609062087503053424\/5 = 0.\nAnswer: 99, 340654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 8*x**2 - 17*x - 2. Give q(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 1 + 2 + 1. Suppose 3*j = -0*j + v + 64, x*j - 40 = -2*v. Calculate the remainder when j is divided by (36\/16)\/((-6)\/(-16)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82 + -300. What is the hundreds digit of o\/(-2) + (-6)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 - -1. Let y = -12 - -6. Let z = y + 10. What is the closest to 1 in z, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7218 - 679192.\nAnswer: -686410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppphphpbhhb. What is prob of picking 1 p and 2 h?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c + 1. Let j(l) = 8*l - 80. Let b(w) = -j(w) - 2*n(w). Let i = -5 - -16. What is the remainder when b(12) is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -553, -2, -5, 0.2, -3, -0.3?\nAnswer: -553","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -3*c**3\/4 - 4089*c**2 - 5581476*c - 22260528 = 0.\nAnswer: -2724, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*n - 149. Suppose 0 = -3*w + n + 9. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/259300062 and 127\/6859790.\nAnswer: 1296500310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - k**2 + 1. Let y(a) = 3*a**3 + 2*a**2 - 1. Let l(i) = -4*c(i) + y(i). Let f be l(5). Is 6 a factor of 67\/4 + 5\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 114569986?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 191\/197354700 and 35\/24?\nAnswer: 394709400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u - 9. Let h(p) = p**3 - 9*p**2 + 9*p - 14. Let s be h(8). What is x(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7229 greater than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**3\/15 - 188900*d**2 + 66906018750*d = 0 for d.\nAnswer: 0, 708375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 38396 a multiple of 331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4*z + 3. Suppose 3*v - z - 5 = 0. Let q(d) = d - d + 3*d + d**v - 2*d**2 - 2. Determine q(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32054305 (base 6) in base 10?\nAnswer: 940577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -226 - -42.\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 34\/25366381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (32 - 34)\/(((-4)\/(-2018))\/(-1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 24180408 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 -231320*s**4 - 46000*s - 1?\nAnswer: -2775840*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*u = -20, -1 - 15 = 4*u. Suppose m = -3*p + 14 - 2. Let c = 11 - p. Solve -4*q + 5 = -c for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) -5 (c) -2\/29 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6*77\/330 + -9*4\/(-60)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 7*r = -48. Let t(b) = 7*b**2 - 4*b. Let u(n) = -2*n**2 + n. Determine r*t(k) + 22*u(k).\nAnswer: -2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 4, -1\/39, 5, 1.\nAnswer: -36, -1\/39, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, m: 4, c: 2}. Give prob of sequence cm.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 40736*w**2 - 203656*w - 3. Determine c(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*q + 6*q + 0*q)*(21 + 58 + 10) as f + n*q and give n.\nAnswer: 979","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15669722 less than 15669725?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 83402174 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*t + 21*t + 13*t + 23 + t**2 + 18 to the form z*t + g + i*t**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97280, 97250, 97220, 97190?\nAnswer: 97160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 60935 = 7*d + 2*d + 61021, -2*d = -a + 20 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56563874 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 14. Suppose 5*m - 5*x - 17 = p*m, 2 = m + 2*x. Sort m, -20, 3 in decreasing order.\nAnswer: m, 3, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/(-2))\/(-2 + 0). Suppose -2*l + 9 = c. Let j = 7 + -4. Solve -s + 3*s = q - 11, l*q + 12 = -j*s for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7\/(-35) + 9\/(-30)*-74 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**2 - 5*a - 7. Suppose 0 = 5*n, -3*o + 0*o + n = 3. Let k(r) = r**2 - r. Determine o*y(l) + 5*k(l).\nAnswer: 2*l**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -11 + 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(405) - (5 + sqrt(405) + 5) - (sqrt(405) - -6*(3 + sqrt(405)))))**2.\nAnswer: 3780*sqrt(5) + 20745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4316 and 664?\nAnswer: 8632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 442631.\nAnswer: 7, 37, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 342*k - 27976. Give b(-207).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 1. Let g be d(0). What is the biggest value in -5, 3\/4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(39 - 39 + 4*g) - 4 - 51*g - 79*g + 4 - 2.\nAnswer: -122*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 33 = -5*s, d + s - 17 = 2. Is (1 + 0)*-3622*(-8)\/d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (26\/8)\/(3*(-12)\/38176). Let b = n + 3443. Find the common denominator of b and -173\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -987 plus -4180.95818?\nAnswer: -5167.95818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -38988895 and 0.051.\nAnswer: -38988894.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 + 510*z**2 - 13005*z.\nAnswer: -5*z*(z - 51)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = -140 - 130. Let l be -2*(2\/(-10) - 36\/f). Which is bigger: -5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 12 (b) -19 (c) 4 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.007167, -0.5, 2 in ascending order.\nAnswer: -0.5, -0.007167, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/30 - (89691\/15)\/(17 + -20).\nAnswer: 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15859842 rounded to the nearest one hundred thousand?\nAnswer: 15900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5346 and 2311254.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9499 or -9501?\nAnswer: -9501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, g: 1, r: 11, u: 4}. What is prob of picking 3 u and 1 r?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17061327?\nAnswer: 3, 631901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(54\/30)*-3. Which is bigger: j or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, g: 4, i: 5, q: 1}. What is prob of sequence iqyy?\nAnswer: 5\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 144*j - 1344. Give s(9).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 0) + 13 - 13?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(17) - (sqrt(17) + 2)) + 0)*-3 + -2 - (1*-4*sqrt(68) + 5))**2.\nAnswer: -16*sqrt(17) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 15*f**2 + 85*f + 34. Let l(z) = -5*z**2 - 29*z - 11. Let y(v) = 6*a(v) + 17*l(v). Let w be y(-1). Solve 4*n - 1 = w*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18*(-12)\/(-288)*-4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*z + 33*z + 50*z + 54*z.\nAnswer: 29*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 4, j: 6}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/2*(-8)\/15. Let i = 35.33 + -35.23. Which is the closest to i? (a) 0 (b) -2\/11 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -5 (b) -5\/624 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 1\/4, 0.006?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(80) - -1*sqrt(80)) + sqrt(80)) - sqrt(80) - -1*2*sqrt(80))\/((sqrt(8) + sqrt(800)*-2)\/(-4*sqrt(2)*-1)).\nAnswer: 88*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 5*p - 4*k, 0 = k - 4 + 3. Let n be (p\/(-21))\/((-1)\/(-18)). Let b(j) = -j**2 + 7*j + 7. Calculate b(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 3612*z = 3617*z - 15, 55*x = -2*z + 120 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -10*n - 3. Let x be o(-2). Let f = -8 + x. What is the highest common factor of f and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l**3 + 120*l**2 - 69*l + 135. Determine p(30).\nAnswer: -1935","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 456.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6895 (base 14) to base 3\nAnswer: 220220201","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 913.9846t in nanograms?\nAnswer: 913984600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 38 + 14 = 0. What is the least common multiple of k and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*y, -20*o + 25*o - 10 = -4*y. Let r be 4 + o + -6 + 7. Let l(w) = -4*w**2 + 2*w + 10. Let g(k) = -5*k**2 + 2*k + 10. What is r*g(b) - 4*l(b)?\nAnswer: b**2 - 2*b - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -29128811, -58257624, -87386437, -116515250, -145644063?\n\"Answer: -29128813*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14.2422 - 14.204. What is b rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 255 - 237. Suppose n*l = 132 + 102. What is the greatest common divisor of l and 390?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7411517714 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -57*i + 496. Let h be z(8). Calculate the greatest common factor of h and 1080.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000009667 rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -490 + 490.307. Let h = -0.468 + s. Let r = 0.471 - h. What is r rounded to two decimal places?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000093229 to seven dps.\nAnswer: 0.0000932","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**2 - o**2 + 4*o**2 - 289.\nAnswer: -2*o**2 - 289","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 1885 = 9*t. Suppose 2*a - 5 = 3*a, i = 2*a + t. Does 15 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -11 - 0) + 3 - 24\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4341 - 7053 + 4*i**2 + 11394.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/70)\/(-3)*(-245)\/420\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**3\/2 + 21*m. Let h(z) = z**2. Give h(a(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8614 or -2\/37?\nAnswer: -8614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -15.6 (b) 3 (c) -8 (d) -6 (e) 9 (f) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**5\/20 - 3*b**4\/4 - 11*b**3\/6 - 27*b**2\/2 + 25*b. Let c be d(-8). Let h(a) = a**3 + 4*a**2 + 3*a - 3. Calculate h(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 5*t**2 - 7*t + 6. Let y be v(3). Suppose -5*a = y*n - 63, a - n = 4*a - 41. Solve 0 = -4*f + f - a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + 3*q**2 + 0*q**3 + 2*q**3)*(141*q**2 - 216*q**2 - 309*q**2).\nAnswer: -768*q**5 - 1920*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x**3 + x. Let f(t) = 2*t - 4*t + 3*t**3 - 8*t**3. Give -5*f(v) - 8*s(v).\nAnswer: v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 56433.22 meters in kilometers?\nAnswer: 56.43322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10\/(-15)*-255 - 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.054 - -0.176. Let l = z - 0.33. What is the nearest to 4 in -0.5, 5, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**3\/3 + 2*b - 4. Let i = -128 + 131. Give j(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**3 + 40*k**2 + 74*k + 36 = 0.\nAnswer: -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, v: 5, w: 2}. What is prob of picking 2 w?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-21))\/((-33)\/(-154))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1250308000 rounded to the nearest 1000000?\nAnswer: -1250000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 723961\/107694 + -1\/5983. Calculate the common denominator of s and 133\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 1. Let s(f) = f - 6. Suppose -14 = -3*j + 1. Let k be s(j). Let r(u) = 7*u - 7. What is k*r(m) - 5*a(m)?\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 495021676 to the power of 1\/3, to the nearest integer?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/108072 and 109\/420.\nAnswer: 3782520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-59)\/(-2) - 2\/(-4). Let v be 14 - 3 - (1 - -2). Suppose 2*l = v*l - h. Solve -i + 2*i + 4*k - l = 0, 0 = -5*k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + t)*(1 - 3 - 1 + 2 - 1 + 1 - 3 - 3 + 7 + 0 + 2 - 1 + (-6 - 1 + 5)*(1 + 1 - 1) + 3 + 2 - 4 + 1 - 4 + 5 - 2 + 4 - 1).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 6:25 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 204.56284323.\nAnswer: 208.56284323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -4*l + 2*n, -2*l = -2*n + 2 + 4. Let b be ((-4)\/(-8))\/((-1)\/l). Suppose -b*c + 1249 = -c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -17*h - 20*h + 35*h + 1. Determine i(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -22. Let w be (a\/(-30))\/((-4)\/(-9)). Suppose 4*t + 2*t - 6 = 0. Which is bigger: t or w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007499 rounded to four decimal places?\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/15, -4, 0.3, 81329, -2\/19, -22?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 3561354?\nAnswer: 3561351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggi when four letters picked without replacement from rgggrgirgrgggirg?\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 + -22. Suppose 0 = 3*v - o*v + 16. Suppose 8*a - 52 = 4*a. Solve 4*h + 43 - 7 = v*m, -m = -2*h - a for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*r - 6. Suppose r = -12*l + 6*l. Find the common denominator of 11\/4 and 46*(l\/7 + (-39)\/84).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - 8. Let w(q) = -q**2 - 25*q - 44. Let m be w(g). Find the third derivative of -a**6 + 1284*a - 7*a**m - 1284*a wrt a.\nAnswer: -120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.082277.\nAnswer: 0.0164554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 4 - 27. Let r = a + -12. Differentiate r*y + 4 + 2*y**3 - 19*y wrt y.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**6\/120 - 3*a**5\/20 + 7*a**4\/24 + 11*a**3\/6 + 3*a**2. Let x be d(8). Suppose -r + x*r = 46. List the prime factors of r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10\/343 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -12*q**2. Let l(h) be the first derivative of -7*h**5\/40 - 2*h**3\/3 - 27*h**2 + 70. Let n(r) be the third derivative of l(r). Determine b(n(j)).\nAnswer: -5292*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-6)*(6 + 75\/10). Let o = j - -32. Calculate the remainder when 160 is divided by o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000975 rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1542, -1561, -1580?\n\"Answer: -19*g - 1523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*s = -40, -3*s + s = 3*a - 120. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-19)\/(-4) + (-3)\/(-12). Let p = n + -1. Suppose 10 = p*g - 18. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6*q - 21. Let o be a(-6). Solve n = -3*u + 9, -3*n - 5*u + o = -2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/90 and -49\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -66 - (3 + -5 + -1). Let p be ((-14)\/y + 2\/(-9))*1. Factor p - d + 1\/2*d**2.\nAnswer: d*(d - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1833046168 divided by -4.\nAnswer: 458261542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4291, -8562, -12811, -17038, -21243, -25426?\nAnswer: -29587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -6) + 5\/(570\/(-35694)). Let f = -310 - o. Factor 2\/19*w**2 - 2\/19 - 2\/19*w**3 + f*w.\nAnswer: -2*(w - 1)**2*(w + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27824083 (base 9) in base 2?\nAnswer: 110100100010111011000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 7*y + 3*y - 222 = 0, y = 2*r - 148. Let q be 9\/((-171)\/r) + 4. Let l = -53\/38 - q. Which is the nearest to -1\/2? (a) 3 (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**(-18))**31 assuming d is positive.\nAnswer: d**620","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2386414 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0.4. Let v = -0.21 + -0.19. What is the closest to 1\/2 in y, v, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/30)\/(1\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 11:22 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 1:10 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 14*i + 25. Let h be 5 + (2 + 0)*(-11)\/22. Suppose h*o - 51 = -7. Calculate f(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b. Let r(n) be the third derivative of 0*n**3 + 0 + 0*n - 8*n**2 - 1\/8*n**4. Calculate u(r(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5481393733 to the power of 1\/4, to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10748.17 + -71\nAnswer: -10819.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 562 = 3*c - w, c - 2*w = -4*w + 199. Let h = c - 75. What is the smallest common multiple of h and 20?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 36d + 1?\nAnswer: 36e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5181.143 millilitres?\nAnswer: 5.181143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*p**2 - 101*p**2 + 46*p**2 + 7*p**2 + 2*p**2.\nAnswer: -144*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a millennium in months?\nAnswer: 19500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g**2 + 1 - 2 + 0*g**2)*(-5 - 1 + 2) to i*g**2 + m + l*g and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -20*s + 20. Let c(x) = 3*x + 0 - 4*x + 8*x - 7. Let p(u) = 17*c(u) + 6*z(u). Let r be p(1). Is -1 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79906193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-788)\/(-60) + (-72)\/135 + 10\/25. Put u, 18, 5 in decreasing order.\nAnswer: 18, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287 + 424 = 82*z - 437 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3819413 is divided by 893.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -74, -2, -5 in increasing order.\nAnswer: -74, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 3)*(c - 31 + 14 + 26 + c - 8 + 8 - c + 3*c - c + (3 + 1 - 5)*(0 - 2*c + 0) - 2*c + c + 0*c)*(6*c - 12 + 12).\nAnswer: -72*c**2 - 162*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from orhddrddadrrdohrh. What is prob of picking 1 r and 2 h?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from bbbbbbnbbbbbbbnbbbbb.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 116 + -122.3. Let o = p - -6. Is 1 at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3078 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*w + 43, 3*w - 7 - 21 = 4*f. Suppose -3*s = 5*q - 57, w = 3*q + 5*s - 39. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 216 + -140. Suppose -2*d + s = f, 17 + 61 = 2*d + 2*f. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -899655847.91\nAnswer: -899655846.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100079 is divided by 64?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 495 - 458. What is the third derivative of 129*t**6 - l*t**2 - 1 + 179*t**6 - 92*t**6 + 2 wrt t?\nAnswer: 25920*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72321.5 - -72321.6069821. Let z = 2.343 + -2.45. Let i = v + z. Round i to 6 dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2895)\/(-1544))\/(3*3\/(-6))*56?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 4:38 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**3 - 10*h**2 + 6*h - 12. Let x be r(6). Let v be (-1*x\/15)\/(2\/25). Calculate the common denominator of 15\/16 and 12\/70*5*518\/v.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 194 - 124. Calculate the highest common factor of d and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r + 19*r + 767 = 0. List the prime factors of r.\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 5:57 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2705\/3 + 901. Suppose m = -2*d - 2, d + 2*d + 3 = 2*m. Which is the closest to d? (a) 4 (b) k (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -31*m + 46 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2995, 4, -3, -20 in ascending order.\nAnswer: -20, -3, 4, 2995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -w - 14. Let o = w + -5. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 17*p**2 - 7*p - 25. Calculate q(-17).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4.9 and -64005404.\nAnswer: -64005408.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 179402 and 2666098?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4 = -1. Suppose 7*p + 30 = -23*p. Sort p, 0, g in ascending order.\nAnswer: p, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 2*b - 27, 59*p - 3*b - 5 = 57*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2052*n**3 - 3*n**2 + 9*n - 253. Let o(a) = 2051*a**3 - 4*a**2 + 12*a - 255. Let c(x) = 3*o(x) - 4*u(x). What is the derivative of c(y) wrt y?\nAnswer: -6165*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1063403, 2126806, 3190209, 4253612, 5317015, 6380418?\nAnswer: 7443821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 + 4*j - 1. Let n be r(-3). Let s = 9 - n. Is 0 - -14 - (-2 + s) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 102576 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -5, 1, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87*-562.\nAnswer: -48894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**5\/60 + h**4\/6 - h**2. Suppose -10*u + 7 = -8*u + 5*g, -2*u - 2 = 2*g. Give a(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -6*v - 6. Let g(i) = 2*i**2 + 16*i + 2. Let y be g(-8). Suppose -22 = -y*f + 18. Calculate the remainder when f is divided by b(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000000110110001001000111 + 1?\nAnswer: -10000000110110001001000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6521\/11 + 593. Sort -6, 0, c in descending order.\nAnswer: c, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 + -17. Let t be (-424)\/(-28) + 3\/(-21). Calculate the remainder when k is divided by 2\/(-3) - (-160)\/t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -26, -42, -64, -92, -126?\n\"Answer: -3*d**2 - 7*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4896856 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s. Let n(q) = -2*q**2 + q. Let i be n(-2). Let v be (i\/(-35))\/(2\/14). Let t(f) = f**v - f + f**2 + f. Calculate k(t(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3235006429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**8\/3360 - q**5\/24 + 2*q**4\/3 - 3*q. Let n(a) be the third derivative of k(a). Find the first derivative of n(l) wrt l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 11 (c) 0 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - (-2)\/(-84))\/(41\/(-164)). Let h(t) be the first derivative of -b*t**3 - 1 + 0*t + 0*t**2. Let h(y) = 0. What is y?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 18 = 4*w, -5 - 5 = 5*a - 4*w. Suppose 6*g = 3*j + 3*g - 2535, -a*g + 3374 = 4*j. List the prime factors of j.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -64, -72, -92, -130, -192, -284?\n\"Answer: -o**3 - o - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250*v**3 + 396*v**2 + 390 + 267*v**3 - 520*v**3 - 783*v = 0. What is v?\nAnswer: 1, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, 0.2, 42?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 10:55 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*j**2 + 0)*(-2*j + 2 - 2) - 15*j**3 + 27*j**3 + 10*j**3.\nAnswer: 18*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 o when two letters picked without replacement from {o: 2, x: 1, n: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 282, 274, 260, 240, 214, 182, 144?\n\"Answer: -3*x**2 + x + 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1914278 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 9:24 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g\/((g**0*g)\/g))**(7\/9))**(-1\/59))**(-1\/3))**13 assuming g is positive.\nAnswer: g**(182\/1593)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12559*s**3 - 2027*s.\nAnswer: -75354*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2132 and 936.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**1*f*f*f**(-25) assuming f is positive.\nAnswer: f**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 equal to 1247\/115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**4\/2 - 4*l**3 + 3*l**2 + 20*l + 37. Factor r(z).\nAnswer: 2*(z - 5)*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 14*s - 8. Let u be a(13). Let f(z) = -7*z + 4. Let j(p) = -7*p + 5. Let c(x) = u*f(x) - 4*j(x). Let k(l) = -l**2. What is k(c(w))?\nAnswer: -49*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-8))\/(((-66)\/(-4))\/11)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-10\/3))\/t*t)**(-1\/25) assuming t is positive.\nAnswer: t**(-13\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000824856 to 6 dps.\nAnswer: 0.000825","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163429890.\nAnswer: 2, 3, 5, 13, 419051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02 + 7.6480527.\nAnswer: 7.6680527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/(-81) + 87\/(-27). Let h(r) = 34*r**2 - 4*r + 3. Let x be h(p). Suppose 2*m + 3*m + 2*z = x, 201 = 3*m - 3*z. What is m rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1015026 divided by -167?\nAnswer: 6078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158170?\nAnswer: 2, 5, 15817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(3*(-4)\/6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*p = -84, 5*u + 0*p + 174 = -3*p. Let n be 3 + ((-12)\/(-18))\/(8\/u). Find s, given that -2*s - n*s**5 + 0 + 5*s**2 - 9\/2*s**3 + 7\/4*s**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 10417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 938 and -0.1.\nAnswer: -93.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520*s + 702 - 1511 = -126*s + 1129 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = -3*n + 3*w - 9, 0 = w + 2. Is 2\/5 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 9 - 1 = -d, -4*d - 4 = 3*n. Let i = -2.2 + 3.1. Let m = 1.2 - i. Which is the third smallest value? (a) 0 (b) n (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 5*b**2 - 6*b. Does 2 divide a(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(-374)\/(-132)*(-1)\/2?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 3 + (4 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1086*i*q**2 + 98565*i + 13512418*q**2 - 5*q - 2 with respect to i.\nAnswer: 1086*q**2 + 98565","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**5\/60 - 6*i**2. Let v(c) = -10*c**2. Give v(p(q)).\nAnswer: -10*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2412459?\nAnswer: 3, 7, 149, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s**3*w**3 + 2*s**3*w**2 + 5*s**3*w - 2*s**3 - 468*s*w - 2973*w**3 + 1 wrt w.\nAnswer: 12*s**3*w + 4*s**3 - 17838*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -645 (b) -45 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -6*f**2 + 1. Let c be j(-1). Let w = c + 14. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12765363?\nAnswer: 3, 13, 327317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*s - 4. Let y = -4 + 6. Let f be (5 - y) + 75\/5. Solve 3*k + 3*z = f, 14 = s*k + 4*z - 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2383, 2374, 2351, 2308, 2239?\n\"Answer: -n**3 - n**2 + n + 2384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s**4*y**2 - 24*s**4*y + 8*s**3*y**2 - 461*s**2*y + s*y**2 wrt s?\nAnswer: 24*s*y**2 - 576*s*y + 48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -882 at most 5\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, z: 10, w: 4}. Give prob of picking 1 w and 3 i.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7546 - -66924. Does 21 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 48 - 48 - x**2. Let b be 2\/3 - 26\/(-6). Let t(s) = b*s - 2*s + 0*s. Determine t(f(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 839141509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - 0 - (-10 + 6 + (42 - 73)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, a: 2, w: 11}. What is prob of picking 2 r?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 231.77 + -2.77. Let y = p - 116. Let l = y - 116. Which is the third biggest value? (a) 0.04 (b) -2\/3 (c) -1\/2 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45575 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 1 + 592 + -572.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5827 is divided by 46.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 6) + (1 + -16 - -12) + -4\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**6))\/(((h\/h**(-5))\/h)\/h))\/((h*h\/(h**(1\/2)\/h))\/h**6) assuming h is positive.\nAnswer: h**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 116 - 61. Suppose 7*f - 205 = 3*f + 3*r, -f - 3*r + j = 0. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 18, 2.23, 17, -2?\nAnswer: 2.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 18 = 2*w - 53, -a = 5. Suppose 5*m + 10 - w = 0. Let n be 3000000*m*9\/(-12). Round n to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, -6, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 112 + -114. Sort 5, -18, j, 4 in descending order.\nAnswer: 5, 4, j, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -476287 (base 16) to base 11.\nAnswer: -2705951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 58499*2 - 0. Suppose 4*g + r = g. What is g rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 8 = 4*x + q, x - 3*q = -9. Solve -8*k + x = -5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 less than -128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3768*b**2 - 3*b. Let j(l) = -463*l. Determine c(j(m)).\nAnswer: -807742392*m**2 + 1389*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 + 26*q - 26*q as y*q + o*q**2 + h and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -f**3\/3 - 24*f**2 - 576*f - 11. Suppose p(r) = 0. What is r?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 0 = 10. Let f(l) = 3*l**h - 2 + 2. Let a(i) = i. Give a(f(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -12\/13, 34580, -0.6, 0.4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 430*k - 608*k = 971*k - 72387 for k.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 18 = 8*w. What is the units digit of (-3)\/(-9) + (-42)\/w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -149, -108, -39, 58, 183, 336, 517?\n\"Answer: 14*k**2 - k - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b**5\/130 + 2*b**4\/39 + 11*b**3\/39 + 6*b**2\/13 + 2*b. Factor y(w).\nAnswer: -2*(w - 6)*(w + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125 + 53 + -4 + 53.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -14*a + 165. Determine d(-22).\nAnswer: 473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 3, 7, -3, 61?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11216 (base 7) to base 8.\nAnswer: 5447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -7*y - 4. Let l be v(3). Let r be ((-72)\/28)\/(6\/28). Let b be r*l*40\/3. What is b rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40108 = -14*f - 10442. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -4*j + 17, -5*t - 10 = 244*j - 245*j for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in 5, -34, -0.4, -0.003?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -217 - -221. What is the units digit of 33 + -1 - (2 + (p - 2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -5\/2*c**2 + 2*c + 5\/6*c**3 - 1\/3*c**4 + 16. Let x(u) = -u - 2 - 1 + 4 + u**2. What is -h(n) - 5*x(n)?\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.08 + 4.16. Let u = j - 4. Let v = 0.22 + u. What is the second smallest value in v, 1, 1\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44908016 is divided by 176.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 8:39 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-105)\/(-170) + (-48)\/408)*(-388)\/679?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**5\/o**6)\/(o*o\/(o**(2\/3)*o*o)*o**0*o*o))**41 assuming o is positive.\nAnswer: o**(-287\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 7)*(3 - 1 - 1)*(-11 + 11 + 7*f**4).\nAnswer: -7*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 30 = -0*q. Suppose 0 = 13*i + 3*i + 192. Let f = q + i. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -16.1 and -1129434.\nAnswer: -1129450.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.74 at most as big as 114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, t: 3, k: 5, c: 7, f: 2}. Give prob of sequence cc.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -1\/4 (c) -3 (d) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/31)*t\/(t\/(t*t**(-11))) assuming t is positive.\nAnswer: t**(-312\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 + 0)*(-4*j - 17*j + 6*j)*(2 + 6 - 4)*(2 - 5 + 2) to t*j + w and give t.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/4, -0.258, 109, -4 in ascending order.\nAnswer: -4, -0.258, -1\/4, 3, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - z)*(-264 - 52*z + 27*z + 26*z)*(-2 - 5 - 18) in the form s*z + b*z**2 + l and give s.\nAnswer: -6600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68163 + 68244 - 2*f + 3*f.\nAnswer: f + 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*w = 151*w - 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 206116*t**3 + 144372*t**2 - 57120*t + 4624.\nAnswer: 4*(t + 1)*(227*t - 34)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 326256 by -81564.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 23*v**2 - 17*v. Let o(x) = -4*x**2 + 3*x. Let y(u) = -6*m(u) - 34*o(u). Let b(s) be the second derivative of s**4\/12 + 7*s. Give y(b(w)).\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - -9 - (5 - 1). Suppose f*g = -v + 20 + 95, -g + 31 = 4*v. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 11:19 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 111123112302 (base 4) in base 12?\nAnswer: 1a6a756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - d = -3*q + 19, 0 = -4*d - 2*q + 14. Solve 0 + h**d + 0*h**3 + 9*h - 6 + 5*h**2 - 9*h**3 = 0 for h.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1238 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jijjjijjrrjjjbbr. What is prob of sequence jrrj?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/5 + 239119*a\/5 - 717366\/5.\nAnswer: (a - 3)*(a + 239122)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -56 and -5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -1\/4, -0.1, 26, 0.097?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -423*o + 2067*o - 399*o - 414*o - 413*o - 405*o.\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -359*q**3*x**2 - 6*q**2*x**2*y + q**2*y + 3*q*x**2*y + 4*q*x - 2*q*y + 49*x wrt q.\nAnswer: -2154*q*x**2 - 12*x**2*y + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4567347690 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*b - 21*b + 120. Factor -56*j**3 + 128*j**3 - 52*j**2 - b*j**4 + 24*j - 40*j**3.\nAnswer: -4*j*(j - 6)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 32, 5, -5 in increasing order.\nAnswer: -20, -5, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 5 + 4)*(-3*t - 4 + 4)*(-3 + 3 + 1)*(-4 + 3 + 2) to s + w*t and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmpkzmxwzmpkm. Give prob of sequence kxp.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 4*g + 2*s + 1, 3*s = 5*g + 40 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111000 - -1011011?\nAnswer: -100011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6155364, 6155381, 6155418, 6155481, 6155576, 6155709?\n\"Answer: z**3 + 4*z**2 - 2*z + 6155361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*i**3 + 11*i**3 + 43*i**3.\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16147*w**2 + 3113*w**2 - 580*w**2 - 7716*w**2.\nAnswer: -21330*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 927*n = 928*n - 75. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccc when four letters picked without replacement from {w: 10, c: 9}?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 125183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = n - 236. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 322 (base 5) to base 8.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7\/2206 + 4447\/11030. Which is the second biggest value? (a) -197\/5 (b) h (c) 0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(1782\/(-420))*(-1)\/(50\/(-30)).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -29*d - 93. Let r be j(-3). Is r equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -95*c + 12*c - 66*c + 670351. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31269 divided by -21.\nAnswer: -1489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1557662 to the nearest integer?\nAnswer: 1248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -1157.64 and -1.70489781.\nAnswer: -1159.34489781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.01 (b) 0.02 (c) 3 (d) -173 (e) -0.4 (f) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 205a34?\nAnswer: 205a34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-110)\/20)*(-76)\/57?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**2 + 98132*k - 294387 = 0. Calculate k.\nAnswer: 3, 98129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-187.\nAnswer: 93.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 i when four letters picked without replacement from {i: 9, p: 3}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -268563049*g*w + 102243982*w wrt g.\nAnswer: -268563049*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*h - o + 47, -2*h - 5*o + 34 = 0. Let d = 4 + 4. Suppose 0 = d*w - h*w + 852. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 4:36 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538992745 is divided by 1477?\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 4*t - 3. Let n be f(-4). Suppose 4*j + 8 = 6*j. Suppose -5*r - 1 = -j*r. Put r, n, -5 in decreasing order.\nAnswer: r, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.3 and -387.\nAnswer: -890.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 11*f**2 + 2*f - 30. Let m(z) = z**2 - 21*z + 94. Let o be m(15). Is a(o) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -146*y + 145*y - 1, -5*y = 2*u + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.6, 8, 3 in decreasing order.\nAnswer: 8, 3, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/2*(-1 + -1). Suppose -155 = -3*k - 5*b, 0 = -4*k - 0*b - 5*b + 200. What is the highest common factor of k and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18, 18, -162, -672, -1662, -3282, -5682, -9012?\n\"Answer: -25*z**3 + 60*z**2 - 5*z - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 82142887 to the power of 1\/2, to the nearest integer?\nAnswer: 9063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l - 20 = -5*l. Find the common denominator of (-15)\/48*(l + 27) and -39\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11021711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 123154330 + -33?\nAnswer: 123154253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2. Let x = 119 - 115. Let z(s) = -263*s - 8. Let a(d) = 526*d + 18. Let b(u) = x*a(u) + 9*z(u). Determine y(b(i)).\nAnswer: 69169*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 + 0.3. Let j be (-1)\/((-16)\/480*-12 + 2901\/(-15)). Put j, c, 1\/2 in decreasing order.\nAnswer: 1\/2, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*z - 272. Calculate the least common multiple of 12 and z.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 52519, 1\/3, -2.5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 6282.47806 to the nearest 100.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4352 + -1?\nAnswer: 4351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -865*y**2 + 6600*y - 8460 = 0. What is y?\nAnswer: 282\/173, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 177 - 93. Let p be (-12 + 5)*(0 + 2). Let w = p + 43. What is the remainder when d is divided by w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*d**3 - 218*d**2 + 220*d**2 - 17*d**3 + d - 129148.\nAnswer: 2*d**3 + 2*d**2 + d - 129148","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 255 = -3*n - n, 4*n = -5*t + 265. Let r = -57 + n. Suppose 24*q - 20*q + r = 0. Which is the closest to q? (a) -1\/3 (b) -2 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2556410 (base 7) in base 5?\nAnswer: -41133344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1369 + 1422. Calculate the remainder when 6888 is divided by j.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 8*y - 5*y. Solve -g + y*g - 1 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9851035.852 to the nearest one hundred thousand.\nAnswer: -9900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/5, 1, 181, -0.3, -139, -22, 0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1930 and 470534.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**2 + 3935570*v - 31484688 = 0?\nAnswer: -1967793, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 242.3. Let a = u - 241.99652. What is a rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u**3 + 7*u**2 + 8*u - 43. Let l(p) = -2*p**3 + 5*p**2 + 6*p - 29. Give -7*l(x) + 5*s(x).\nAnswer: -x**3 - 2*x - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/7972 and 55\/712.\nAnswer: 1419016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14431002 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001101 (base 2) in base 11?\nAnswer: -177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 87994267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -65d9c (base 15) to base 12\nAnswer: -1373a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/5 + 302676*j**2\/5 + 2057850*j + 87453712\/5.\nAnswer: 2*(j + 17)**2*(j + 151304)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -545, -1091, -1625, -2147, -2657?\nAnswer: -3155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - 2 - (-2 + 2). Suppose 0*x - 1 = x. Sort v, -5, x in ascending order.\nAnswer: -5, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4745 - 4727. Solve k*j + 165 = 57 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -t**4\/4 - 3*t - 22. Let w(s) = 9*s**2. What is c(w(v))?\nAnswer: -243*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*h = 3, 2*i = -4*h + 8*h + 2. What is the nearest to -2 in 2\/67, 7, i?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2966 + 2966.1861. Round o to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1254443212 (base 6) to base 7.\nAnswer: -242003300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from emyfzma. What is prob of picking 1 e and 1 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -8 - 7, -5*k = -2*r + 23. Suppose r*t - 6*t - 86 = 0. Let c = t - -107. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1112 (base 5) to base 14\nAnswer: b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*(j**(3\/8)*j)\/j))\/j**(2\/17))\/(j\/(j**(-3)*j)*j*j\/j**(7\/5)*j) assuming j is positive.\nAnswer: j**(-3463\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 98 - 91. Calculate the remainder when 75 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1220*g - 835117 - 44153 = -7075*g for g.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -123*t - 13384. Determine x(-109).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 12:35 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 15) to base 6\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -69507, -69563, -69607, -69633, -69635, -69607?\n\"Answer: k**3 - 63*k - 69445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -94.373279 rounded to one dp?\nAnswer: -94.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11589, 1, 6, -5 in descending order.\nAnswer: 6, 1, -5, -11589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10572322?\nAnswer: 2, 19, 278219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12635 by 19.\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 54.8 to 0 dps.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 7 - (0 + 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 b when two letters picked without replacement from xuxuuxyubb.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*r - 14, -5*r - 9 = 6. Let s be (-19)\/12 - w\/8. Let k be ((-2)\/5)\/((-14)\/10). Put k, 2\/9, s in decreasing order.\nAnswer: k, 2\/9, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16715 is divided by 58?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 5)*(0*s**3 - 25*s**3 + s + 12*s**3).\nAnswer: -13*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b**3 - 119*b**4 - b**2 - 17*b**4 + 49*b**3 - b - 54*b**3 in the form x*b + u*b**2 + q*b**4 + f + l*b**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -108, -214, -374, -594, -880?\nAnswer: -1238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 22 = 4*u - 298, -2*z + 258 = 4*u. What is the greatest common factor of u and 240?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*z**4 + 99068*z**3 - 1442256*z**2 + 1286032*z + 57344 = 0 for z.\nAnswer: -2\/47, 1, 14, 512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (m + m + 0*m)*(0 + 3 + 0)*(-194*m - 520*m - 942*m) in the form p + n*m**2 + t*m and give n.\nAnswer: -9936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*x - 2. Let h be x\/(3*1\/9). Put -5, h, 4 in decreasing order.\nAnswer: 4, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2091484216\/47994 + (-4)\/114?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(4\/9)\/d)**(-46) assuming d is positive.\nAnswer: d**(-184\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-15))\/(-15*30\/11250)?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28130.67 centuries in millennia?\nAnswer: 2813.067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**6\/l**(-4))\/(l**0*l\/(l*l\/(l\/l**(-3\/2))))*(l\/(l**(-1\/4)\/l*l*l)*l)**(-1)\/(l**(4\/5)*l*l*l*l*l**(-2\/5)) assuming l is positive.\nAnswer: l**(57\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8829269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205149 is divided by 66.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 62164358 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/5 (b) 1 (c) -1 (d) -386\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-243)\/14)\/(-81))\/(34\/7 + 0 + -2)?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -555.38\nAnswer: 222.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -121998 at least as big as 303?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 208001197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -221 times 424\nAnswer: -93704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(162) - sqrt(162))**2*1 + 4.\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 9243.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1791 (base 15) to base 11\nAnswer: 3904","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -923884*h*u**2 - 8369*h*u - h - 2*u wrt u.\nAnswer: -1847768*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -97, 3075, 0, 1 in ascending order.\nAnswer: -97, -17, 0, 1, 3075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 141 = -15. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*f - 11*f + 11*f + (-2 - 3 + 3)*(0*f - 3*f + f) + 2 + 2*f - 2 + 2 - 2 - 2*f + 4*f - f - 4*f in the form p + a*f and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 3 + 19. Let i(s) = 2*s + s - 4*s. What is the least common multiple of i(-2) and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c. Let b(j) = 3*j**2 - 24*j. What is p(b(q))?\nAnswer: -9*q**2 + 72*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 388*m*r**2 + m*r + 1885*m + r**5 + r**4 - 3*r**2 - 2*r - 1 wrt r?\nAnswer: 776*m + 20*r**3 + 12*r**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-188)\/(-1)*4424\/(-17696)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7136130 and 167699055.\nAnswer: 335398110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 4:00 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01 + 4.99. Let i = -1 - q. Which is bigger: i or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2\/3 + 1025938*s = 0 for s.\nAnswer: 0, 1538907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -39b5 + -665?\nAnswer: -445a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/6)\/((-3)\/6)*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 - -41. Let t = 15 + s. What is the greatest common factor of t and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2756731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h + 33. Let c be v(12). Let j = c - 58. Find the common denominator of j*5\/(-25) - (-1383)\/60 and -23\/49.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1031 - -1031.0105. Round z to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-32))\/((-18)\/(-9))*2*10?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*d + d - c, -2*d - 4*c + 2 = 0. Suppose 27 = -6*m + 3. Put d, m, -1 in ascending order.\nAnswer: m, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f\/f**(2\/3)))*f)**44)**(12\/17)*(f\/(f*f**(-1)))**(7\/10)*(f**(-1\/3))**(-10) assuming f is positive.\nAnswer: f**(23177\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppdlppldllppllllpp. Give prob of picking 1 d and 2 p.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22 + -10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 7\/6*w**3 - 1\/24*w**4 + 0 + 0*w + 4*w**2. List the prime factors of t(-8).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 12*l**5\/5 - 124*l**4\/5 - 644*l**3 - 3204*l**2 - 27432*l\/5 - 12096\/5 = 0.\nAnswer: -7, -3, -2\/3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 418\/77829?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-3) - (-7)\/9. Let n = 13 + -14. What is the closest to n in -0.4, b, 3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/6 - (-3)\/6. Let l be 1 - m*((-15)\/(-6) + -3). Does 11 divide 1275\/12 + l\/(-12)*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c - 5. Let n be u(-9). Suppose -d = -2*m - 4, -n*m = -5 + 13. Suppose 2*q - a - 82 = -q, 2*q - a - 54 = d. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*f**2 + 118*f - 17*f**2 + 35 + 50*f**2 - 14*f**2 as s*f + z*f**2 + v and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 0*g - 3\/2*g**2 - 79. Let f(j) = 2 - 2 - 9*j. What is w(f(h))?\nAnswer: 27*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n + 0*n + n + (-n + 0 + 0)*(5 - 2 - 4) + 2*n + 3 - 3 + 3 - 2*n - 3 - 3*n + 5*n - n + (1 + 2 - 1)*(-5*n - n + 4*n) + 16*n - 4506 + 4502 - 53*n.\nAnswer: -34*n - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**4\/5 + 11*t**3\/5 - 13*t**2\/5 - 11*t\/5 + 12\/5 = 0 for t.\nAnswer: -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 20*q**2 - 2*q + 39. Let y be (-1 - 6\/(-4))\/(36\/1440). What is g(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 38 - 217 = 0. Let s = k - 51. Let g be 5 - (-7 - -8 - (-1 - s)). Solve -g*i + 4*f = 4 + 1, -17 = 5*i + 2*f for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -150 - -1bc0?\nAnswer: 1a70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -576 - 102593.\nAnswer: -103169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 857423537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 272 and 3247.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/2)\/((-3)\/(-3)). Suppose j*h = -2*h + 48. Suppose 0*a + 10*a - 450 = 0. What is the remainder when a is divided by h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12549 by 3.\nAnswer: 4183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*2*-2)\/(sqrt(36)\/(3*sqrt(60)\/sqrt(5)))*5.\nAnswer: -120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 15. Suppose t*c - c = -1. Is 3 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 + 84 + 0*i**3 - 107.\nAnswer: i**3 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.3685808t?\nAnswer: 368580800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 98*i = -106*i + 52, 35 = 5*s + 4*i for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88525104 and 70512.\nAnswer: 5424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 38\/5, 4, -0.2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -160 - -234. Let w(g) = -g**3 + 20*g**2 + 3. Let v be w(20). What is the closest to 0 in a, -2\/11, v?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1005.6 - 834. Let q = l - 171. Let a = -89\/45 + 11\/5. What is the fourth smallest value in q, 1\/2, a, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -830396 (base 11) to base 9\nAnswer: -2451227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**5\/20 - 2*h**4\/3 + 2*h**3\/3 - 11*h**2\/2 + 2*h. What is the remainder when l(8) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1204 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 8*j**2 - 19*j + 7. Let u be w(-10). Let b be u\/6*-34 - -2. What is the greatest common divisor of 38 and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*r - 30*r - 16*r**2 + 20*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 190350503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 64 - 88*a + 46*a + 40*a.\nAnswer: -2*a - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 789656*j*l**2*r**2 - 5*j*l - 239*j - 200*l**2*r**2 + 4345*l*r**2 wrt l?\nAnswer: 1579312*j*r**2 - 400*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(18\/13)*d))\/d*d*d\/(d*d*d**(-18\/11))*d assuming d is positive.\nAnswer: d**(36\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/2)\/(4\/(-93))*4\/12.\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -1, -14, -4 in descending order.\nAnswer: -1, -4, -11, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-2)*0 + -1. Let x(n) = 17*n**3 - n**2 - n. Let d be x(g). Let w = d - -24. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seven quarters of a millisecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -26, 1.053, 0.4 in increasing order.\nAnswer: -26, 1\/4, 0.4, 1.053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-4)*(-8 - (-444)\/37). Which is smaller: f or -6\/55?\nAnswer: -6\/55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, n: 1, i: 6, e: 4}. Give prob of sequence ein.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-14))\/(34\/(-119)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 8*t**3 - 11*t. Let x(a) = -12*a**3 + 17*a. Give -8*b(i) - 5*x(i).\nAnswer: -4*i**3 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18.4 - -18.3. What is the closest to 0.06 in 0.4, -2\/17, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16233 = 29*y - 12564. Suppose y + 16019 = 4*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 + 53 - 70 - 44\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.06 (b) -0.9 (c) 1\/3 (d) -103 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + 12?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -35, -1, -65, -3\/2, -96?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100 + -10110010111011001011?\nAnswer: -10110010111011011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h. Let f be t(-1). What are the prime factors of f\/(-3) + (-258)\/(-18)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -1694*v + 4929. What is the hundreds digit of u(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9568, -19132, -28696, -38260, -47824?\n\"Answer: -9564*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 14905061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 367 + 1057. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6243884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 29128 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(6\/11)*a)\/a**(-25) assuming a is positive.\nAnswer: a**(292\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1680*a - 1680*a - 48*a**2)*(-1 - 8 - 3 + (4 - 1 - 5)*(0 + 2 - 4)).\nAnswer: 384*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 180069, 180081, 180093, 180105?\n\"Answer: 12*z + 180057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (494*r + 2901*r + 206 - 206 + 2308*r)*(1 - 3 + 0).\nAnswer: -11406*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c*o**4 - 2*c*o**3 + 19278*c*o - 268*o**4 - 32*o**3 - o**2 - 1 wrt o.\nAnswer: 24*c*o - 12*c - 6432*o - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*u - u + 85, -64 = -2*c - u. Let a(k) = -k**2 - 8*k + 8. Let j be a(-10). Let s = 23 + j. Calculate the remainder when c is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6, -23, -56, -111, -194, -311, -468, -671?\n\"Answer: -n**3 - 2*n**2 - 4*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/19, -4, 7, 2\/17?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3546277*d**2*j**3 + 2039*d**2*j**2 - 2*d*j**2 - 5291*j wrt j?\nAnswer: -21277662*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5*d - 4. What is k(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1337*g = 917*g - 15778 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 394*b**3 - 11*b**2 - 13*b - 1. Is g(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 1 = 5. Suppose 4*n = -k*w + 8*w + 523, 5*n - 4*w = 647. Suppose -1121 = -16*r + n. Is r a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d - 29. Let n(l) = -l - 15. What is -5*n(q) + 3*y(q)?\nAnswer: -q - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 14*f**2 + 2211*f - 52506. Calculate b(22).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 109674775 and 400?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2150 = -24*p + 110*p for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (4 - (-3 - -3)) - -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -23. Let n be (2 - -7)*1\/3. Solve 0 = -n*h + x - 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**3 - 12*c**2 - 3*c - 5. Determine s(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43530 by -8706.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 21\/6)*-12. Let x be (-50)\/(-12) - 1\/n. Suppose -x*r + 19 = 3. Solve -27 = -5*a - 2*k, 0 = a + 2*k - r - 3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -16, -2, 2, 1, 105.\nAnswer: -16, -3, -2, 1, 2, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48457*l**5 - 14*l + 3105 wrt l?\nAnswer: -969140*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*x - 4*v - v + 10, 0 = 5*v - 18 + 8 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d - 2*d**3 + 10*d + 3*d**3 - 24*d**2 + 22 + 13. Let k be o(24). What is the first derivative of 155*w + w**3 - 10 - k*w wrt w?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4336, 8534, 12744, 16972, 21224, 25506, 29824, 34184?\n\"Answer: z**3 + 4191*z + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1553, -1552, -1551, -1550, -1549?\nAnswer: -1548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 + -6 + 16 + -19.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -263*l**4\/6 - 159*l**2\/2 - l - 9. Find the first derivative of a(b) wrt b.\nAnswer: -1052*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11105 - -11168. Solve -j + 2*o - 7 = 0, 2*j - 21 = -b*o + 60*o for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 581.43 to the nearest 10.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25548935?\nAnswer: 5, 61, 211, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -5. Suppose 3*s = u*s - 28. Suppose -4*v + 29 = -h + 86, 82 = h + v. What is the greatest common divisor of s and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -79*b**7\/840 - 6*b**4 - 10*b**3\/3 - 22*b**2. Let k(a) be the first derivative of n(a). Differentiate k(d) with respect to d.\nAnswer: -237*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 11:20 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 282.70861 rounded to the nearest ten?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-407.\nAnswer: 2035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 0*o - 1 - 2*o + 5 + 2. Let c be b(-2). Solve c = 2*i - 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -5*a - 2 - 0, -2*u + 6 = a for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 19*h + 32. Give l(-3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - p - 15 = n, -2*p = n + 3. Suppose 5*x = n*x + 18. Suppose -4*o = -9*o + 40. Is o greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -10*p + 114. What is the remainder when 75 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*u**3*w - 9*u**3 - 18*u**2 - 750811*u*w + 55 with respect to w.\nAnswer: 2*u**3 - 750811*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 6, b: 3, c: 3, m: 5, a: 1, r: 2}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 7 + 2 + -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/59)\/n**21*(n\/(n\/(n*n**(-1\/8))*n))**26 assuming n is positive.\nAnswer: n**(-5731\/236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-77) + (-310)\/(-110). Let q be (56\/(-60))\/(l\/(-15)*1). What is w in 2*w**4 - 2\/3*w**5 + 8\/3 + 0*w + 2\/3*w**3 - q*w**2 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -7*o**5 + 2*o**4 + 21*o**3 - 20*o**2 + 4*o = 0.\nAnswer: -2, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4141844523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*c + 22 + 15*c + 20 in the form t*c + b and give b.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + x + 73 = -p + x - 30, -4*x - 16 = 0 for p.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 403 and 9923?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19.2 and 1272?\nAnswer: 24422.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 12 = -40. Let r be 5\/(-10)*g*-1. Solve t + 9 = -5*q, q - 6*q = 2*t + r for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(833)*-5 + -4 + -1 + 5*-3*sqrt(833) + 4)**2 + -3.\nAnswer: 70*sqrt(17) + 20823","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -1 (c) 0.019\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30275 is divided by 488.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3279607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 614753553?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -4643*f**2\/2 + 17*f - 7924. What is the first derivative of l(d) wrt d?\nAnswer: -4643","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -335, -1342, -2967, -5168, -7903, -11130?\n\"Answer: 7*z**3 - 351*z**2 - 3*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -6*f**2 + 19*f**2 - 11*f**2. Let m(p) be the third derivative of 0*p + 0*p**4 - 1\/60*p**5 + 0*p**3 + 0 + p**2. Calculate m(o(q)).\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26 - 26 + 14*k**3 + (-2*k + 3*k + 0*k)*(0*k**2 + k**2 + 0*k**2) - 2*k**3 + 3*k**2 - 3*k**2.\nAnswer: 13*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*b = -6, 21 = -534*b + 531*b. Let g(k) = 16*k + 86. What is g(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1748124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5861 or -1.02?\nAnswer: -2\/5861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/15)\/m*m)\/m**(-12\/11))**45 assuming m is positive.\nAnswer: m**(606\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is dd + -142c31?\nAnswer: -142b32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 187358363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = 3*o + 57. Let a be 473\/5 + (-14)\/(-35). Let g = a - o. Is g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 1242?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43006291\/779 - (-28)\/(-574) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7231384 milliseconds in microseconds?\nAnswer: 723.1384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 160, 265, 370, 475?\n\"Answer: 105*l + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, s: 5, v: 5}. Give prob of picking 3 m.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(((-1106)\/147)\/158).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(11) + (sqrt(55)\/sqrt(20))**2 - -6*(sqrt(11) + -1)) + (-4 + (sqrt(11) + 1*sqrt(11) - sqrt(11)))*6).\nAnswer: -109\/4 + 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 + 13*q + 36. Let g be p(-3). Let w be -6*1\/4*-2. Suppose -3*d - g = -4*c, 3*c + 0*d = -w*d + 6. What is the lowest common multiple of 1 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40872 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 93\/465*425\/5.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25064 + -25020. Solve -46*a - v = -274 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 6. Let j(x) = -6*x**2 + 2*x + 36. Let o(g) = -5*a(g) - j(g). Give o(-5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 11*n**2 - 11*n + 14. Let l be -15 - 2\/(2\/(-3)). Let w be d(l). List the prime factors of 1*w*36\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 373267, 746542, 1119813, 1493080, 1866343, 2239602?\nAnswer: 2612857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/8)\/(1900\/(-400)))\/((-11)\/11).\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5\/3))**(-25)\/((((f\/((((f*f**48)\/f)\/f)\/f))\/f)\/f)\/f*f*f*f*f*f**42*f*f) assuming f is positive.\nAnswer: f**(125\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = u - 52. Let j = -9 - u. Let f(k) = 18*k**2 + 38*k - 38. Let w be f(1). Is w at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 0*b + 5\/2*b**2 - 7. Let o(c) = -c**2 + c + 1. Let l(h) = -h - 1. Let r(s) = l(s) + o(s). Give r(a(y)).\nAnswer: -25*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8 + -2)\/((-2)\/(-55)). Suppose -4*o + 9*o + t = 0. Let g = 47 + o. Calculate the least common multiple of 8 and g.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 - 5737*o - 36 + 81.\nAnswer: -5737*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -5*a**4\/4 + 70*a**3\/3 - 218. Suppose w(k) = 0. Calculate k.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38401 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0135 + 2713.\nAnswer: 2712.9865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**4\/c**(2\/7) assuming c is positive.\nAnswer: c**(26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -3961649.1 to the nearest ten thousand.\nAnswer: -3960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -1416489*a. Let n(z) = 16*z. What is n(s(g))?\nAnswer: -22663824*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 68 - (34 - 4) - 7\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/4 - 3\/4. Let m(q) = 8*q**2 + q. List the prime factors of m(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9117 = -8*r + 39931. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus -442490049?\nAnswer: 442490049.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 689*o**4\/5 - 3411*o**3\/5 + 1897*o**2\/5 + 6303*o\/5 + 306\/5 = 0.\nAnswer: -1, -34\/689, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 0)*(0*h + 7*h - 20*h)*(4*h**2 - 18*h**2 + 70*h**2) - 5*h**3 + h**3 + 3*h**3 to n*h**3 + v*h**2 + b + a*h and give n.\nAnswer: 1455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 23. Let a be l(-28). Is 5 a factor of a\/(76\/36 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 4:55 PM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 2, -1, 6 in increasing order.\nAnswer: -19, -1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40.1 - 40. Let g be 1\/5*(2 - 3). Which is smaller: g or d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0246838774 to 4 dps.\nAnswer: 0.0247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(2\/13))\/t)**4*t*t**(-7)*t**8 assuming t is positive.\nAnswer: t**(18\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 18*i + 639. What is w(-37)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 989463*m - 80 = -989459*m, -3*c + m = -35 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 11, g: 2}. What is prob of picking 2 g?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j**(-2\/41)\/j)\/j)*j**(-2\/11))\/(j**(-8\/13))**(-3\/2) assuming j is positive.\nAnswer: j**(11397\/5863)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 11*k + 13. Let t be z(12). Is t*(24 - -1 - 3) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6050471, -12100939, -18151385, -24201797, -30252163?\nAnswer: -36302471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 30*q**2 + 65*q - 34. Let t be a(32). Suppose f = -v + 8, -5 = -v - 0*v. Let k be (1\/(-5))\/(1*f\/(-15)). Which is smaller: k or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - (-2*sqrt(108)*-1)**2) + 4 + (3 + 1 + sqrt(108)*2)**2.\nAnswer: 20 + 102*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -6.1. Which is the closest to -0.1? (a) -2 (b) 8 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 + 3*u**2 - 9*u**2 - 9*u**2.\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*j - 66 = -3*g, 0 = -j - 4*g - 22. Let q = j - -27. Solve 4*n = -0*y - y + 11, q*y + 2*n = 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3489, 6977, 10465?\nAnswer: 13953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 4*o + 4*q + 7, 4*o - 2*q = -24 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 129.52 + -133. Let y = 4 + -3.98. Let m = y - u. What is m rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.036+4737\nAnswer: 4737.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1429481953, 1429481954, 1429481955?\n\"Answer: l + 1429481952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00143702158 to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -5*g - 4*i, -1 = -4*g + 3*i. Find the first derivative of -27*v**4 + 45*v**4 + 7*v**g - 9 wrt v.\nAnswer: 100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40558 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -161900 to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 + -5. Let n be (-2)\/(-6) + w\/12. Suppose -6*r = -3*r - 6. Put n, r, -4 in decreasing order.\nAnswer: r, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -17, -4, -11, -44, -109, -212?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8000 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rgwngew. What is prob of picking 2 w?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*b. Let i(v) = b*v + 17*v**3 + 11*v**2 + v - v. Let h(u) = 6*u**3 + 4*u**2. Let p = -7 - -18. What is p*h(y) - 4*i(y)?\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 8 - 5. Suppose k = 3*m - k, -5*k + j = -m. Suppose y - q = -4*y - 18, -m*y = 3*q + 14. Which is bigger: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 7205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -17\/8 (b) 4\/3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 11:38 AM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**3 + 2*w + 4. Let u(z) = z**3 + 3*z + 3. Let y be 48\/(-20) + 3 + (-12)\/(-5). What is y*u(h) - 2*o(h)?\nAnswer: -h**3 + 5*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, n: 3, w: 1, v: 1, z: 1}. What is prob of sequence nz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 498\/13*i + 250\/13 - 4\/13*i**2 = 0. Calculate i.\nAnswer: -1\/2, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33001 + 33303. Solve 310*o + 72 = j*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 7*k**2 + 41. Let x be v(6). Suppose x*d - 15 = -5*g, -4*d - g - 3 = -12. Suppose -d*i + 90 + 92 = 0. List the prime factors of i.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -234, -485, -736, -987, -1238, -1489?\nAnswer: -1740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 5*a - 9 = 0, 2*b = -5*a + 15 - 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 11 = 2*w, 7 = w + 4*m + 21 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-456)\/8512*1840\/(-69)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 13*q. Let g(t) be the third derivative of -7*t**4\/24 - 5*t**2. What is -6*f(i) - 11*g(i)?\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14973, 14963, 14953, 14943, 14933, 14923?\nAnswer: 14913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, f: 3}. What is prob of picking 3 f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.128 * 34\nAnswer: -4.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 - 3*v**3 + v**3)*((-3 + 7 - 2)*(23 - 23 + v) + v - 2*v + 0*v - 6*v - 32 + 32 + (0*v + 3*v - v)*(-1 + 1 - 2)).\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8\/25 of a kilometer?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1110313122022 + 11?\nAnswer: -1110313122011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/((5\/(-1))\/5)*(-3)\/(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-11))\/u**(1\/16))\/(u**13\/(u\/(u**(-13)\/u))) assuming u is positive.\nAnswer: u**(-129\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -112, -7, 75, 5 in ascending order.\nAnswer: -112, -7, 5, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.04 + 0. Let z = -0.36 - s. Which is the second biggest value? (a) -2\/7 (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-19)*r**3*r*r*(r**(5\/2)\/r)**32)**41 assuming r is positive.\nAnswer: r**1435","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/(-10)*(-8 + 3). Let c(l) = -3*l**2 + 2*l - 2. Let r(m) = -m**2 + 1. Let b(g) = 8*g**2 - 9*g + 13. Let d(p) = b(p) - 4*r(p). Give o*c(s) + 2*d(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 105*w + 2770. Calculate u(56).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 5*b**2 - 3*b - 25. Let q be i(-4). Factor -12\/5*k**q + 0*k + 3\/5*k**2 + 0 + 9\/5*k**4.\nAnswer: 3*k**2*(k - 1)*(3*k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 144376, 289059, 433742, 578425, 723108?\nAnswer: 867791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 p when four letters picked without replacement from bbmmbmbbpbbbbmpm?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**3 + 6*v**3 - 5*v**3 + (-v + 2*v**2 + v)*(0*v - v - 3*v) - v**3 - 6*v**3 + 4*v**3 to the form b*v + q*v**2 + u + n*v**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -86051 * -732\nAnswer: 62989332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 527919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-5)\/14*((-5120)\/(-50))\/(-2 - 0).\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 609.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4ff (base 16) to base 12\nAnswer: -8a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -404? (a) 728358 (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -10 (b) -76 (c) 5 (d) -0.3 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 29\/2 of a millennium?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*l + 19*l + 64. Solve 6*k = l*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5650267 is divided by 193?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 8*u**2. Suppose -3*i = -210 - 72. Let t(r) = -i + 49 + 45 + 5*r. Determine t(q(k)).\nAnswer: 40*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -43*p - 291. Is w(-34) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2018 + 2106. Calculate the remainder when b is divided by 57.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, q: 2, r: 3, i: 6}. What is prob of sequence qr?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzoiizziz.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 0 + 24 = 4*s, 2*s - 4*y = 6. Let h be 2\/s - ((-324)\/33 - -1). Suppose 2*u - 5 - 1 = 0. Solve 3*w + w - u*m = h, m - 1 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1*2)\/2 + 1144 + -220 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -k - 0*k + 2*p, -2*k = 2*p - 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 398.1 - 398.1. Which is the third biggest value? (a) v (b) 0.04 (c) 1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 653517, 653524, 653531, 653538, 653545?\n\"Answer: 7*g + 653510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*a + 194*a - 55*a - 65*a.\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(((o*o\/(o**(3\/5)\/o)*o*o)\/o)\/o))**31\/(o**(1\/6)*o**15))**(-27) assuming o is positive.\nAnswer: o**(15813\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -6*((1*-5*2*sqrt(4800)*1)**2 + 3).\nAnswer: -2880016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34621 rounded to the nearest 100?\nAnswer: 34600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/3 and (-14)\/(-1 - (-11)\/2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/37 + -33\/74. Let b = -10 + 11. Let a be (1 + 44\/(-48))*10. Put b, a, u in increasing order.\nAnswer: u, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-92)\/(-40) - 2\/5. Which is the nearest to -0.1? (a) -1\/5 (b) 1\/4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/10*190\/76*(-4)\/(-30). Which is the biggest value? (a) -1 (b) i (c) 0.1 (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-254 - -260) + (-6 - (1 + -2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54593 and 5131742?\nAnswer: 5131742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41010 is divided by 162.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 - 33. Let u be (-8)\/(-2) + 2\/(-2). Solve -u + j = 3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -325 - -324. What is the second smallest value in q, 0.4, -13.8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -952*o - 124641 = -985*o. List the prime factors of o.\nAnswer: 3, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 269754 * 0.5\nAnswer: 134877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 125, 508, 1147, 2042, 3193?\n\"Answer: 128*b**2 - b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppe when four letters picked without replacement from {p: 5, g: 2, e: 9}.\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4669\/4 - 1167. Which is the second biggest value? (a) -13 (b) 5\/2 (c) t (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of 2*w**4\/3 + 17*w**2. Let x(b) = -2*b. What is q(x(j))?\nAnswer: -32*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -24*x. Let w(h) = -3*h**2. Let p(b) = -b**2. Let j(t) = -17*p(t) + 6*w(t). What is j(z(s))?\nAnswer: -576*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -1636*m**7\/7 + m**3\/3 + 1189*m - 1148. Find the third derivative of d(n) wrt n.\nAnswer: -196320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 less than 90560907?\nAnswer: 90560897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 126 + -74. Suppose 4*l = -4*p + 332, 0 = -4*l - 3*p + 430 - 103. Calculate the greatest common divisor of l and z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven quarters of a meter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 0*n + 0*n**2 + 2\/9*n**3 + 7 + 1\/4*n**4 + 1\/15*n**5. Factor u(x).\nAnswer: x**2*(x + 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (17 - 7 - 5)) + (-122 - -5) - -4\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31009058 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*x + 1, -4*a - 4*x + 2*x + 60 = 0. Let z = a - 8. Suppose -z*b + 1 - 6 = 0. Which is greater: -1\/4 or b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 195.991 - 196. Let q = x - 0.0438. What is q rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14 - 814\/(-55))\/(1\/495). Suppose -28*h - i = -3224. Suppose 3*k = 117 + 189. Do h and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37789675\/700 + 14\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*(1 + 1*sqrt(80) + -4 - -3*(1*sqrt(80) + 1)))**2 + -4.\nAnswer: -5124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 76352 in increasing order.\nAnswer: -3, 1, 76352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 8900117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1, 9.\nAnswer: -1, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-2) + (3 - 4). Suppose -4*a + 3*r + 15 = -a, -2*a + 5*r - 5 = 0. Let s be (-7)\/2*a\/(-35). Sort t, s, 0.2 in decreasing order.\nAnswer: s, t, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/3, 5, 0.5, 738, 4, -0.01 in descending order.\nAnswer: 738, 5, 4, 0.5, -0.01, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 262128 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f + 5. Let t(m) = m**2 - m - 1. Let n(j) = -10*t(j) - 2*x(j). Let b(s) = s**2. Give n(b(w)).\nAnswer: -10*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 932 = -2*i, 7*i - 3*s - 1869 = 3*i. Suppose -7 = -2*u + 2*g + 81, 84 = 3*u + 3*g. What is the highest common divisor of u and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*q - 5 = 0, -2*c - q - 26 = 9. Let n be ((-12)\/(-10))\/((-3)\/c). Let h = n + 14. What is the remainder when h is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 - 2*q - 2. Let k(m) = -m - 1. Let n(p) = h(p) - 2*k(p). Let x = 2 - -7. Let u(f) = x - 3*f - 9. Determine n(u(t)).\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1584*p + 27421 + 97980 = 6935*p + 7679 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f - 24. Let r be m(8). Let w be ((-2)\/(-18))\/((-56)\/r - 1). Let n = -1.3 - -6.3. What is the second smallest value in -4\/3, n, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3 + 9 = 0. Let b(h) = 9*h**3 + h**2 + h - 1. Let q be b(1). Suppose q - 24 = -g*x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(32) + sqrt(2) + -1 + sqrt(2) + sqrt(2) + -2 - (sqrt(18)\/((sqrt(54)\/sqrt(6) - sqrt(9))*3 - sqrt(9)))**2.\nAnswer: -9*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1376 = 204*u - 333 + 181 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129, -358, -591, -828, -1069, -1314?\nAnswer: -1563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 6*r**2 - 69*r + 96. Calculate the least common multiple of d(10) and 12069.\nAnswer: 24138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**3\/5 - 4*t**2 - 36*t\/5 + 36 = 0. Calculate t.\nAnswer: -3, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*sqrt(1584)*-1 + -1).\nAnswer: -12*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 52, 113, 200, 313, 452?\nAnswer: 617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o + 31 = -2*h - 5*o, -h + 17 = -4*o for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, q: 3}. What is prob of picking 2 i?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 r when four letters picked without replacement from {r: 5, l: 1, q: 4}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5\/12, -0.3 in descending order.\nAnswer: -0.3, -5\/12, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8782 + -0.0218. Let j = x + 1.8. Let h = -0.04 + 0.44. What is the third smallest value in j, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 969, 26 in ascending order.\nAnswer: -3, 0, 26, 969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -272a97 (base 11) to base 10.\nAnswer: -428567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100011021110 (base 3) to base 8.\nAnswer: -540050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = d. Solve -2*u + 6*u + 8 = d for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5287875 smaller than -5287904?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-1)\/(-1))\/(-3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2*f**3 - 1)*(90 + 393 - 16).\nAnswer: 934*f**3 - 934","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1383065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*b - 178 + 242 + 429 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 115693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 47fb?\nAnswer: 47f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -5*r + 12, n - 2645 = r - 2645 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -947ab (base 12) in base 9?\nAnswer: -326035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 22 = 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) -13083771 (c) 3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -283, -4, 5, -56, -28 in increasing order.\nAnswer: -283, -56, -28, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (1 + 4 - (13 + -3 + -9))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/3))**(1\/16)*(p**(-1))**(-1\/18) assuming p is positive.\nAnswer: p**(5\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40265 and 880.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8880 = 38*b - b + 11*b. Sort b, -1, 1 in descending order.\nAnswer: b, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.3 to zero dps.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4004 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24150 and 562975.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -21.1456 + -89.867383\nAnswer: -111.012983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 10*r**2 + r + 2. Let l be (105\/2)\/7*4\/3. Calculate the remainder when 3 - 15\/3 - -48 is divided by o(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100 and 75.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o = 35*o - 13. Let i = 3 - 0. What is the remainder when i is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48) + sqrt(432)\/(sqrt(9)*1) - sqrt(48))*-4)\/(3*sqrt(48)\/sqrt(288)).\nAnswer: -16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-2)*(5 + -6). Suppose r = -5*v + 5*y + 35, -5*y = -3*v - v + 24. Suppose 5*i - 3*a - 11 = v, i + a = 6. Let j(d) = d**2 - d + 1. What is j(i)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 695 is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1234\/(-8))\/((-4342)\/(-10204)). Let m = i + -4\/2171. Let o = -370 - m. Calculate the common denominator of -53\/18 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 10*v**3 + 7*v**2 + 66*v - 21. Give z(-5).\nAnswer: -1426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, t: 2, i: 1, s: 1}. What is prob of picking 1 s, 1 i, and 1 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-20))\/((-19)\/10 + 2). Factor h + 0*k**2 - 1 + k**2 - k + 11*k + 4*k**2.\nAnswer: 5*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((63840\/315)\/(-76))\/((-1)\/78*-4)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10866 - -11167. Calculate the greatest common divisor of z and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -785 - -796. Solve -h = -8*p + 5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -10*x + b + 10, 0 = -3*x - 2*b + 16. Suppose 2*n = x*w - 1454, 7*w - n = 11*w - 1457. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l**3 - 12*l**2 - 13*l + 9 + 12*l + 3*l**3. What is the units digit of t(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + -0.32. Let n(y) = -y**3 - 38*y**2 - 38*y - 35. Let h be n(-37). What is the second biggest value in -3, h, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -203?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 136 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (703*f**4 - 191*f**4 - 39*f**4)*(-f + 2*f + f) + f**4 + f**5 - f**4.\nAnswer: 947*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4\/7, -19, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 5*h**2 + 4*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 2370.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 155*i**2 - 41*i - 279. What are the prime factors of o(-8)?\nAnswer: 3, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (5 + -8 - (-3 + 6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 222 + 18.\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 292491168 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.9938 + 10. Round j to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 89992444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + -3. Let u be (g - -1)*2\/(-5). What is the second derivative of h - 3 - u*h**4 + 3 wrt h?\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6802590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101.839ug to kilograms.\nAnswer: 0.000001101839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3\/3 + 195236*g**2\/3 - 2382416096*g\/3 + 2382220864\/3.\nAnswer: -4*(g - 24404)**2*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**4\/12 - w - 119. Let u(k) be the first derivative of -9*k**2\/2 + 1. Determine v(u(x)).\nAnswer: -81*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 266 + -82. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2. Solve q*b + 5*b = 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a - -5?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7890, -31511, -70870, -125961, -196778?\nAnswer: -283315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j + 4*j - 2*j + (2*j + 4*j - 2*j)*(6 + 11 + 10) + 4*j - j - j + (4*j - 3*j + j)*(0 - 1 + 3).\nAnswer: 113*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 s when four letters picked without replacement from eszqsvez.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -99, 189, 5, -3, 7, -39 in descending order.\nAnswer: 189, 7, 5, -3, -39, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -8, -3\/2, -0.28, -1\/3?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nrc when three letters picked without replacement from nrclj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -5. Let w be 1092\/416 + 1 + 10\/(-16). Let r(h) = -16*h - 3. Let i(z) = -9*z - 2. Let o(u) = w*r(u) - 5*i(u). Calculate o(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ynnvnvdvdvn. Give prob of sequence nvv.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(7 - 3 - 2)*(-3*u + 8 - 8).\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + -5)*6.\nAnswer: -30 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1591688 and 661.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 254443 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 8*p + 65. Suppose -150 = -p*d + 15*d. Let a = 80 + d. Solve 0 = -2*c + a - 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 - 77 - (13 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24540 and 391880?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -6\/7 (c) -1\/9 (d) -0.5 (e) -3.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 363 divided by 432189.\nAnswer: 121\/144063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 731 is divided by 235?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16934663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -104445 divided by -55\nAnswer: 1899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 219081 - -265978983.\nAnswer: 266198064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 628, 4, 0 in decreasing order.\nAnswer: 628, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 6:32 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 10:09 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 5. Let q(o) = 3*o - 12. Give 12*p(g) + 5*q(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2809.981 - 2812. Let u = -0.019 - v. Which is the closest to 0? (a) u (b) -20\/9 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1624164 (base 7) in base 14?\nAnswer: -5bca4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2288, 2287, 2286, 2285, 2284, 2283?\n\"Answer: -g + 2289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a week in seconds?\nAnswer: 60480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, p: 1, c: 7, v: 2}. Give prob of picking 1 p and 2 d.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9294 + 9295. Sort -1, -1155, p, 0.4, -5 in ascending order.\nAnswer: -1155, -5, -1, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 151.97 + -152. Which is the biggest value? (a) 0.3 (b) h (c) -12 (d) -3 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 36\/(24\/14 - (12 - 10)). Let c = 130 + v. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b - 16. Let c be y(5). What is the highest common divisor of c and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -916 - -70a?\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - 6\/12*-18. Let z(l) = 9*l + 29. Let g be z(-12). Sort 1, g, k in descending order.\nAnswer: k, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*g + 5. What is the units digit of (-12)\/15*5\/g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, -3, -194\/15, 1 in ascending order.\nAnswer: -45, -194\/15, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, f: 15}. Give prob of picking 1 d and 3 f.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)*-1)\/sqrt(4) + (sqrt(15) - (1*sqrt(120) + sqrt(120))\/sqrt(8)))\/((sqrt(150)\/sqrt(3))\/sqrt(10)*4).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3760054 and 5.\nAnswer: -18800270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n = -104542 + 103912 for n.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0)**(13\/7)*w**(2\/3)\/w**3)\/((w\/(((w*w\/(w*w**(3\/4)\/w*w))\/w)\/w*w))\/(w*w*w**(-2))*(w*w**(1\/3))\/((w*(w**(-2\/5)\/w)\/w)\/w*w*w)) assuming w is positive.\nAnswer: w**(-349\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -16. Let u = -0.11 + 8.11. Let f = u + -6. What is the biggest value in f, i, 0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -704.49?\nAnswer: -709.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 531*y - 526*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -203*v**2 - 2. Let a be m(1). Let n = a + 618. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*t + 72405 = -216217 - 101845. What is the greatest common divisor of 7 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.9 + 75980.\nAnswer: 75983.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - m + 176 = 0, -3*s - 5*m - 220 = 2*s. Let f be 11\/s + (-130)\/(-8). Solve 2*x + 4*y = -f, -y = -4*y - 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.3 + -6. Let w be (-51)\/45 - 1 - -2. Let h(d) = 10*d**2 - 72*d - 158. Let q be h(9). Sort -0.1, q, w, x in increasing order.\nAnswer: w, -0.1, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17942 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 361\/14 + -177\/7. Which is the fourth smallest value? (a) -3 (b) 1 (c) 82 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 6*a**2 - a - 3. Let h(q) = 13*q**2 - 2*q - 5. Let w(f) = -2*h(f) + 5*o(f). Let s(p) = -9*p**2 + 2*p + 11. Give 3*s(l) + 7*w(l).\nAnswer: l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 68 = 2*x - 58, -2*i - 3*x + 53 = 0. Suppose 4*g + 0*f + f + 139 = 0, 0 = g + f + i. Let v = -20 - g. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*x**3 + 260*x**3 - 65*x**3 - 67*x**3 - 55*x**3.\nAnswer: 17*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 308, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 25*p + 8. Let r be q(-25). Let c(j) = 3*j - 12. Give c(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 415865257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 57158 - 6?\nAnswer: 57152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 17*q**2 - 23*q**2 - 9*q + 5*q**2 - 8. Give c(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 7*n + 20. Suppose n*m - 4 = 8. Suppose -m*i - 2 = -4*i + 2*g, 2*g = 2. Solve 0 = -2*f + 4*w + i, 0 = -4*f + 4*w + w + 11 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -25*c + 27. Let t = 172 - 172. Is y(t) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12232 - -12157. What is the closest to -1.1 in -4, 0.1, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 5 (c) -4\/27 (d) -169\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3020*g = 37005 + 168355 for g.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 3*a + 3*a)*(58*a - 2755 + 2755)*(1 + 2*a**3 - 1).\nAnswer: -116*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-2 - (-8 - -6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 o when four letters picked without replacement from {n: 11, w: 1, o: 2, r: 3, l: 2}.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 10:06 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 105 (b) -2\/13 (c) 4 (d) -2\/27 (e) -2.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 153825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 100 - 87*a**4 - 100 + (0*a**3 - 2*a**3 + a**3)*(a + 4*a - 6*a) - 2*a**4 + 4*a**4 + a**4 + a**4 + 3*a**3 - 3*a**3 - 5 + 5 - a**4.\nAnswer: -83*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 7*x + 0 + 8*x - 3. Let s(q) = 2*q**2 + 2*q - 4. Determine -6*r(t) + 4*s(t).\nAnswer: 2*t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 2 - -30 - ((-2 - 31) + -382 + 423)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6071093854 to the nearest integer?\nAnswer: 77917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 81\/4*s**3 - 3\/2*s + 9\/4*s**2 + 0.\nAnswer: 3*s*(3*s + 1)*(9*s - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 0.02\nAnswer: 0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 + 590)*(-56)\/(-112)?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmiimimmiiimm. What is prob of sequence mm?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158320 is divided by 31?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 4\/24247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-13)\/(-2))\/((-2)\/(-4)). Suppose 0 = 5*i - 3*t - 16, 5*i - 44 + k = -2*t. Suppose 2*j + 81 = 3*s - 0*s, 4*j - 157 = -i*s. Is 14 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 1102211201101?\nAnswer: 1102211201102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10140 divided by 2028?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjjt when four letters picked without replacement from jztzjtjz?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/6*30\/20. What is the closest to p in 0, 0.5, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*w*w**(1\/9)*w*w**(1\/6) assuming w is positive.\nAnswer: w**(77\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w - 14*w = -13*t + 143, -118*t = 2*w - 119*t + 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 114, -5, -4, -27, -2 in ascending order.\nAnswer: -27, -5, -4, -2, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1726250774 a multiple of 1174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327 is divided by 59?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 17. Let p be (-12)\/9 + (-80)\/y. Solve -2*z - 3*k - 19 = 0, z + 0*k = 3*k + p for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - g - 4. Determine f(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 9*g - 13. Suppose -5*o + 27 = -3. What is the remainder when 12 is divided by m(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 756655689, 756655690, 756655691, 756655692, 756655693, 756655694?\nAnswer: 756655695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -674*k + 42 = -671*k. Differentiate -62*n + 4 + 7 + k + 12 - 27 with respect to n.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.49197013 rounded to three dps?\nAnswer: 0.492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 - 28*b + 74*b**3 + 3*b**4 + 66*b**3 - 140*b**3 - 91*b in the form c*b**3 + x*b**2 + u*b**4 + i*b + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6786*p + 8010 - 238734 for p.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10502 and -0.27.\nAnswer: -2835.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/10 (b) 4 (c) 37\/3 (d) 3 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}