diff --git "a/data/dm_maths/full_data/10094_11255.jsonl" "b/data/dm_maths/full_data/10094_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10094_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is (2 - -5) + -15 + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.8706377 decades?\nAnswer: 0.08706377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 12:52 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 4 - (0 + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38480 by 2.\nAnswer: -19240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 89063, 356247, 801541, 1424939, 2226435, 3206023, 4363697, 5699451?\n\"Answer: -t**3 + 89061*t**2 + 8*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5\/12 - -91\/132. Calculate the common denominator of (-30)\/75 + 38\/(-55) and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -16 - 1000*c - 7*c**4 - 12*c**3 + 3*c**4 + 20*c**2 + 1012*c = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 23. Let j be -1 - (-1 + 1 - 5). Suppose 0 = -17*b + j*b + 286. What is the lowest common multiple of b and t?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23623020079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 19*l + 10. Let g = 4805 + -4821. Calculate t(g).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 16*i**3 + 11*i**2 - 11*i + 11. Let n(j) = 3*j**3 + 2*j**2 - 2*j + 2. Let w(p) = -7*p + 9. Let c be w(-7). Let d = 25 - c. Give d*n(f) + 6*v(f).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*g = -17*g + 50 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 1. Let k = 1561 + -1559. Solve -j = -k*m + 6*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2\/11*d**2 - 10416\/11*d + 13561632\/11 = 0.\nAnswer: 2604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**5 + g**5 + 2*g**5 + (-3*g**3 + 2*g**3 + 4*g**3)*(2*g**2 + 0*g + 0*g) - 2*g**5 + 2*g**5 - g**5.\nAnswer: 6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 1. Let g(u) = 3*u - 3. Suppose x + 0*x - 3 = 0. Let d(t) = x*s(t) + g(t). Let o(k) = -4*k + k + k. What is d(o(b))?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04234710511 rounded to 3 decimal places?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 5, 0.28?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*i**2 + 18*i**2 + 14*i**3 + (-5*i**2 - 7*i**2 - i**2)*(0*i + 2*i + i).\nAnswer: -25*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72811*b + 145669*b - 72861*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-360)*9\/6. Let v(q) be the second derivative of 4*q + 0 + t*q**5 + 0*q**2 + 1\/16*q**4 + 0*q**3. Let v(h) = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 d when four letters picked without replacement from {d: 4, j: 6, k: 4, a: 3}?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.234264 times 83\nAnswer: 19.443912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 134706\nAnswer: 67353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (19\/((-36157)\/77))\/(189\/54)?\nAnswer: -2\/173","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-2) + 0 + ((-65)\/(-80))\/((-260)\/(-920))\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in -16, 3\/7, 6\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -236*l**2 - l - 7. Let f(y) = 354*y**2 + 2*y + 11. Let j(i) = -5*f(i) - 8*g(i). Let m be j(1). Let x = -65 + m. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x**(-7)\/x)\/x*x*x**23*x)\/(x**(2\/57)*x**(-2\/123)) assuming x is positive.\nAnswer: x**(39685\/2337)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516150.\nAnswer: 2, 3, 5, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 32*u + 227. Let z be i(-7). Suppose -z*b = -10 - 62. Solve -9 = 3*q, -2*r + 3*q = 3*r - b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82379, 82370, 82361?\nAnswer: 82352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10939\/1020 - -5\/204. Let q = -4279\/1900 + 1\/475. What is the common denominator of p and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.6 + 1.4. Let w = d - 11.3. Is 8 at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(76)\/sqrt(4) + 3.\nAnswer: sqrt(19) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, -2\/57, 1\/6, 2\/5, -0.1, 1.48?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5375*o + 16 - 7 + 2636*o - 9.\nAnswer: 8011*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000100 (base 2) to base 7.\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 29*h - 828 = 0. Which is the second smallest value? (a) -1\/8 (b) h (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 93*n**2 + 3*n + 3. Let l(y) = -37*y**2 - y - 1. Let c(u) = 2*h(u) + 5*l(u). Let r(t) = -14*t**2 + 4*t + 5. What is 5*c(m) - r(m)?\nAnswer: 19*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -54*c**2 + 18*c**2 + 19*c**2 - 8*c + 16*c**2 + 1. What is r(-9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 22*w**2 + 23*w + 41. Let g be b(-21). Let f(m) = -76*m + 8. What is the remainder when f(g) is divided by 48?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 12*q - 24 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289822210*n - 289822085*n = -3125 for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -21 (b) -0.2 (c) 0.086\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.5 + 1.75. Let w = -0.25 + l. Which is the closest to -0.1? (a) 2 (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16, -51, -124, -203, -288, -379, -476?\n\"Answer: -3*k**2 - 58*k + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 20*d**2 + 14. Let n(b) be the first derivative of 7*b**3\/3 + 5*b + 4. Determine -17*n(u) + 6*v(u).\nAnswer: u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 6:20 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/36)\/((-2)\/282). Suppose 5*h - w = 108. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 274 - 269. Which is the closest to 0.01? (a) -4\/3 (b) 1\/5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*x + 423, -f + 7*x + 431 = 5*x. Calculate the remainder when f is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 + 42. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*((-21315)\/392)\/(-87)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3725 less than 5?\nAnswer: -3720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 363\/99 + 5\/(-3). Solve -h*w = -2*q + 2*w + 16, 16 = 3*q - 2*w for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.3 + 8. Let j = -0.063 + -0.001. Let t = j + -0.036. Which is greater: a or t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.432 - -0.3. Let z = 25.868 - o. Is z equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 4*j + 10. Suppose 77*i = 72*i + 2765. Let t = -558 + i. Calculate a(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-6985992.\nAnswer: -698599.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -504 + -21?\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(2\/(-42)*-1). Let z be ((-15)\/(-9) + -2)*k. Let h = 13 + -5. Which is smaller: z or h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -831 - -1164. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 7:10 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1205778 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and ((2 - 4) + 1)*1 - -9.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/66)\/((-13)\/(-1)*-6*(-145)\/20358)\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6872, 13721, 20572, 27419, 34256, 41077?\nAnswer: 47876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2672, -5322, -7958, -10586, -13212, -15842?\nAnswer: -18482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 360 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*f - 46. Suppose -2*w = 5*d - f - 5, 4*d = -5*w + 24. Calculate the smallest common multiple of d and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, d: 2}. What is prob of sequence ad?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1881742?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-21))\/((-21)\/63)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**3 + 24050*g**2 + 24057*g - 144306 = 0. Calculate g.\nAnswer: -3, 2, 24051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 137*j + 280. Calculate a(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 8\/(-20) - (-88)\/20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yk when two letters picked without replacement from {z: 3, n: 1, y: 2, e: 4, k: 9}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (21\/6 + 2)\/(6\/(-12)). Put -1, q, 8, 2 in decreasing order.\nAnswer: 8, 2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -762000 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0942185181 rounded to three dps?\nAnswer: 0.094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 35*z**2 + 66*z + 25. Determine m(33).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + o + 18 = -4*s, 0 = -76*s + 64*s - 5*o - 34 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18.096 - 18.18579. Let i = 1.59 - 1.5. Let o = i + c. What is o rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/(-255)*5)\/1)\/(-1)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 374900000 to the nearest 1000000.\nAnswer: 375000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/33 + (-4)\/6. Which is the closest to 0? (a) 8\/7 (b) n (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(90)\/sqrt(3) + sqrt(30) - -6*sqrt(180)\/sqrt(6))\/(sqrt(250)*-6 - sqrt(40)\/sqrt(4)*3).\nAnswer: -8*sqrt(3)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 104\/32 + 1\/(-4). Suppose -o*f - 106 = -5*x + f, 20 = x - 2*f. Does 25 divide 3 + 1918\/22 + (-4)\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 13*h**2 - 4*h - 4. Let j(s) = 13*s**2 - 3*s - 3. Determine 4*j(c) - 3*t(c).\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49469 and 619031?\nAnswer: 1337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100030 + 40141?\nAnswer: 140221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.52 * -0.066457\nAnswer: -0.03455764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -99 + 101. Solve -f*r = r + 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2. Let q(o) = 3*o + 5. Let a(n) = -n - 2. Let t(i) = 5*a(i) + 2*q(i). Give j(t(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 2\/3, 1.5 in ascending order.\nAnswer: 2\/15, 2\/3, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1243629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4013, -4009, -4007, -4007, -4009, -4013, -4019?\n\"Answer: -y**2 + 7*y - 4019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4332016890 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33010 by -6602.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -5*l + 47, -l - 3*d = 2*d + 13. Calculate the greatest common divisor of l and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55998 and 1998?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2))**(2\/33)*(j\/j**2)**(2\/21) assuming j is positive.\nAnswer: j**(-50\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -99 + 229. Let k = w - 133. Is k > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1677 + -1618.93. Let w = 2.37 - r. Let z = w + 58. What is z rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2611428 and 6093332?\nAnswer: 18279996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(187))\/(sqrt(704)*1 + sqrt(11)) + 5.\nAnswer: -2*sqrt(17)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7534837.82 rounded to the nearest 100000?\nAnswer: -7500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.13055um to kilometers.\nAnswer: 0.00000006113055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**6\/24 - g**5\/30 - g**4\/24 + 2*g**3\/3 - 10*g**2. Let a be h(-4). Let w = a - -157. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 0*r - 3*r)*(-5*r + r + 2*r) + 0*r + 0*r + 2*r**2 + (-12*r**2 - 29*r**2 + 8*r**2)*(-5 + 3 - 3).\nAnswer: 169*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 3. Let x = d + -5. Let w(s) = -4*s - 4. Calculate the lowest common multiple of 4 and w(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 + 1\/(-1) + -3 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 9 + 0 - 2*y)*(2 - 6 - 1).\nAnswer: 10*y + 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/r**(-9))*r)\/r)\/((r**(-5\/3)\/r*r)\/r))\/(r\/(r**15\/r)*r**(-3)) assuming r is positive.\nAnswer: r**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/35*-7 - (-15)\/(-21). Is -2.61 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37826*d**3 - 465*d**2 - 32.\nAnswer: 226956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -7*j**3 + j**2 - 4*j - 4. Let v(g) = -20*g**3 + 3*g**2 - 12*g - 11. Give 4*v(d) - 11*y(d).\nAnswer: -3*d**3 + d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-1 - 3 - -1) + 7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eedzyzeyeeyyezeyy. What is prob of sequence yzy?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + -8*121\/(-704). Which is the smallest value? (a) i (b) 1\/3 (c) -1\/2 (d) 0.01 (e) -13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 481141986?\nAnswer: 2, 3, 13, 474499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2001, -2112, -2239, -2388, -2565, -2776, -3027?\nAnswer: -3324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnud when four letters picked without replacement from znihdnddudihniuidd?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2585366 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 10 = -5. Let o be (2 - 22)\/(j\/(-18)). Let w = o + 175. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2645 = -2*d - 248*j + 251*j, 0 = -d - 3*j + 1363. Calculate the remainder when d is divided by 103.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*r + 18*r + 79*r - 172*r - 141*r in the form s*r + b and give s.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75 + -3 + 16 - -6) + (-8 - 4) + 10.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q - 18 = -8*q. Let b = 210 + q. What is the smallest common multiple of 6 and b?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 16*g**2 - 304334*g - 342396 = 0?\nAnswer: -9\/8, 19022","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 13 = -48. Suppose -30 + 78 = v - g, 0 = -3*v - 4*g + 179. What is the least common multiple of v and i?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 250*m**3 + 5*m - 4. What are the prime factors of k(1)?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1049 + 18961 = 690*u for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 6:31 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 w when two letters picked without replacement from {e: 5, b: 4, w: 10}.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 4:02 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11517624 is divided by 47?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 2*q + 14. Sort 1, -4, 42, q in increasing order.\nAnswer: -4, q, 1, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7376.48 times -0.052?\nAnswer: -383.57696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 3, -3, 0.06?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005445 to six decimal places.\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**6\/120 - 11*q**5\/60 - 5*q**4\/12 - 5*q**3\/6 + q**2. Is 19 a factor of y(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -650.19 + 654. Let a = n + -3.8099766. Round a to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-352)\/10)\/11)\/2.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + 31\/(-3))*(-9)\/(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 540\/(-132) + -8 + 7 + 5?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -263877, -263831, -263753, -263643, -263501?\n\"Answer: 16*d**2 - 2*d - 263891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + f + 1. Calculate y(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -8*z - 0*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*t - 42. Let o = t - -6. Do o and -15 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 124814*m + 26835012. Determine q(-215).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46193 and 226985803.\nAnswer: 6599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 + 15388739*p**2 - 15388739*p**2 + 5*p**3.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**3 - l**2 + 2*l - 1. Let t be q(1). Let z be t - 160998\/(2 + -1). What is z rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/(sqrt(15)\/sqrt(5)) - sqrt(3) - ((sqrt(3) + sqrt(12))*1)**2) + -6*(2*sqrt(3) + 3) + -3 + 0.\nAnswer: -48 - 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-9\/5))\/s**(1\/6)*s\/s**(2\/13)*(s\/(((s**(-3)*s*s)\/s)\/s))\/s assuming s is positive.\nAnswer: s**(1123\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a**2 + 4*a - 10. Let y be 0 - (-1 - (2 - -1)). Suppose -3*v - z + 10 = 0, -15 + 5 = -2*v - y*z. List the prime factors of l(v).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49933215 divided by 5?\nAnswer: -9986643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -69 + 60 + (-23 + 58 - (5 - (1 - -1)))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 23 = -47. Let n = w - -16. Suppose -x + 5 = i + 3, -5*x = i + n. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 2*b = 14, 4*l - 15 = 2*b - 31 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 63, 4 in decreasing order.\nAnswer: 63, 4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzrrhzrzhhzhh. Give prob of sequence zz.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0 + 6928*f**2 - 3621*f + 0 - 10846*f**2 + 5929*f**2 wrt f?\nAnswer: 4022","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 9*k**2 + 144*k - 20. Let f(x) = 2*x**2 - x - 3. Determine -c(p) + 5*f(p).\nAnswer: p**2 - 149*p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 452, 457, 462, 467, 472?\n\"Answer: 5*j + 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60.058 - -0.058. Let k = 51.5 + a. Round k to 0 decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -146*f**4 + 7 - 93 - 55 + 32 wrt f.\nAnswer: -584*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.71 + 0.09. Let g = 0.5 - y. Suppose -5*h - 5*f + 5 = 20, 4*h + 3*f + 11 = 0. Which is the smallest value? (a) g (b) -4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.4671 - -1.093. Let h = p - 0.1089. Round h to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-66)\/(-1)*(-8)\/(-16). Find the second derivative of -24*z**5 - 18*z + z + h*z wrt z.\nAnswer: -480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 563020.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(171)*2 + sqrt(171) + (1*sqrt(171) + sqrt(171))*-4)\/((sqrt(144)*-2 + sqrt(36))*6).\nAnswer: 11*sqrt(19)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72851 = 31*y - 72448 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 + 49 = 3*o. Let j be 2\/(20\/(-45))*6\/(-9). Suppose o + 42 = j*b. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480833107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -46179936 divided by -1356?\nAnswer: 34056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**4 - 58*u**3 + 1512*u**2 - 13230*u + 27791. Let b(q) = -2*q**3 - 2. Let l(y) = -12*b(y) - 3*t(y). Factor l(x).\nAnswer: -3*(x - 21)**3*(x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4, -2\/713, -2, -2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -363, -2, 18, 0, -5 in increasing order.\nAnswer: -363, -5, -2, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 58\/9 of a hour?\nAnswer: 23200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 13*a + 520 = 0. What is f in -20*f**3 - 7*f**4 + 10*f**4 - 28*f - 10*f**4 + 11*f**4 - a*f**2 = 0?\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37417 = -11*k + 94496. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -9*(5\/3)\/(-5). Let j be 1 + a - (-20 - -19). Solve -1 - j = -3*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**5 - 4044631*q**4 + 27*q**3 + 1280769*q**2 - 109*q + 1?\nAnswer: -120*q**2 - 97071144*q + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 46*b + 126. Determine p(-4).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4000 and 16672.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 4*j - 81, -24*j + 26*j = 2*n - 34. Solve 4*c = -3*t - n, t - 5*c = 27 - 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -0.8, 38, -0.94, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 26 = 2*v, 9*o - 11*v + 92 = 15*o - 19*v for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 334 divided by -1.\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6*(((-388)\/14)\/2 + 14)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/(-55))\/((-3)\/33). Which is greater: 38\/33 or l?\nAnswer: 38\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of b**4\/2 - 2*b**3\/3 - 3*b**2\/2 - 4*b + 1. Let f(q) = -q**2 + q - 1. What is -4*f(w) - s(w)?\nAnswer: -2*w**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 8) + (4 - (-8 + 7))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 6 = -18. What is the greatest common factor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 544 is divided by 131?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2 - 18*w + 25. Determine h(-12).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + (-1)\/(3\/9). Let o = d + 6. Calculate the lowest common multiple of 1 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(17) - (sqrt(17) + -2*sqrt(17)))**2 + -4 - sqrt(17) - 2*sqrt(2448))*-4 + 3 + (6*sqrt(612) - (sqrt(17) - (sqrt(425) + 4)))**2.\nAnswer: 520*sqrt(17) + 26707","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -7*g + 4. Let l(r) = -8*r + 3. Let x(n) = -3*l(n) + 4*u(n). Is x(-3) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/(j*j**(-1\/11)*j))*j**1*((j\/(j\/(j*(j\/(j**(-2\/9)\/j))\/j)))\/j)**(-31) assuming j is positive.\nAnswer: j**(-3463\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3752 a multiple of 268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4190.09 + -4190. What is the closest to -1 in 4, 0.2, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 11:31 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 7 in increasing order.\nAnswer: -5, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 12 - 3)*(m + 4*m - 4*m) + m + 2 - 1 + 3.\nAnswer: -19*m + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0013723 to 5 decimal places.\nAnswer: 0.00137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (-16 - -3))\/(4\/(-18)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p. Let m(u) be the first derivative of -23*u**2\/2 + 2. Let r(a) = 6*m(a) + 34*n(a). Let z(o) = -19*o**2. Determine r(z(d)).\nAnswer: 38*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*g + 3*h, -6*g + g + 5*h + 65 = 0. Let s = 168 - 138. What is the highest common factor of s and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 443245077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.56 + 0.66. Let r be (-40)\/18 + 2 + 0. Sort g, r, 6 in ascending order.\nAnswer: r, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2 + -1*((sqrt(78) - (sqrt(78)*-1 - sqrt(78)) - sqrt(78))\/sqrt(6) + 0))**2.\nAnswer: -8*sqrt(13) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, 1, 2\/11, 2\/13, 1.9?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1284802?\nAnswer: 2, 569, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 - 39. Let y be (-4)\/6 - v\/(-3). Suppose 0*g - y*g + 25 = 0. Solve 3*b - 34 = g*n, -20 = -3*b + 4*n + 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 3*m + 11. Let l be h(-5). Let g be (18\/24)\/(l\/(-8)). Let u be (2 + 9\/g)*54. What is the greatest common divisor of u and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73\/2*u + 35\/2*u**2 + 1\/2*u**3 + 37\/2 = 0.\nAnswer: -37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j. Let v(u) = 2*u. Let x(n) = -5*l(n) + 2*v(n). Let w(k) = 4*k. Determine x(w(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 0.4 (c) 3 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 5:50 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - x = x + 8, -3*z = x + 14. Let d be (z + 2)\/(3 - 4). Suppose a = d - 0. Put 4, a, 1 in ascending order.\nAnswer: 1, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27738 + -15875. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3 = -2*b. Let q(z) = -166*z + 3657. Let l be q(22). Calculate the greatest common divisor of b and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 714 divided by 119.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 10:50 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 - u**2 + 2*u**2 - 3 to s*u + z*u**2 + p and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 581, 1006, 1267, 1364, 1297?\nAnswer: 1066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l. Let b be t(-1). Suppose b*d = 5*n - 17 - 2, 4*d + 8 = 0. Calculate the remainder when 8 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*d + 5, 4*d - 25 = -5*g + 2*d. Which is bigger: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -166, -686, -1544, -2734, -4250?\nAnswer: -6086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 6095991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 851 divide 221656508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/9 + 2*h**2 - 28*h\/3 - 1960\/9.\nAnswer: (h - 10)*(h + 14)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-432)\/288*((-32)\/(-52))\/2.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4785347764 to the power of 1\/4, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 + -39. What is the least common multiple of (-2)\/(-11) - (-3406)\/143 and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/(-168))\/((-1)\/6)*-1. Which is the second smallest value? (a) -0.1 (b) x (c) -1 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-126)*135*(-24)\/(-2160)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 2*w - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-10\/7))\/(x*(x**4\/x)\/x)*x**(7\/4)\/x**(1\/4) assuming x is positive.\nAnswer: x**(13\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -167 + 172. Let s = -4 - -4.1. Which is the third biggest value? (a) t (b) s (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**2 - 10*a**2 + 3*a**4 - a + 17*a**2 - 8*a**2 - 2 + 22*a**3 - 63*a**3 to m*a**4 + l + f*a + i*a**2 + h*a**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 986 + 216868.\nAnswer: 217854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - 5053023?\nAnswer: -5053012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -3. Suppose 2*u - z = -2. Solve -4*n = u*f + 2*f + 12, -14 = 2*n + 4*f for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -i**4\/12 + 19*i**3\/6 + 8*i**2 - 21*i + 21. Let v(x) be the first derivative of j(x). What are the prime factors of v(13)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 + 915232*o - 2745687.\nAnswer: -(o - 915229)*(o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v**4\/v)\/v)**(-2\/11)\/(v**(-8\/9)\/(v\/(v*v*v\/((v\/v**(-6\/11))\/v)*v))) assuming v is positive.\nAnswer: v**(-19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-48)\/(-72))\/(4\/18). What is the common denominator of 41\/15 - (6 - d) and -5\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - 0)*-1*3. Let t = u - 3. Factor 1 - t - 2*l + l**2 + 3.\nAnswer: (l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38688 divided by -1608\nAnswer: 1612\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - -8)\/3 + 300. Let k be (0 + 2)\/6*b. Let i = -69 + k. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) 1.22 (b) 4 (c) -35\/9 (d) 1 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**3 - j**2 - 4*j + 3. Suppose 4*p - 21 = -b - 2*b, -2*p - 6 = -4*b. Let t be p + 0 - (4 + -4). List the prime factors of a(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 5*r**2 - r + 2. Give j(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17\/8? (a) 139 (b) -0.4 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2668\/348 - 9)*(-1)\/126\nAnswer: 2\/189","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -3*x + 19 + 6, 0 = 4*n - 2*x - 42. Suppose 3*d = 4*d - n. Calculate the remainder when 30 is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20712*f*t**4 + f*t**3 + 5*f + 4803 wrt t?\nAnswer: -82848*f*t**3 + 3*f*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5 = 3*m, 5*u + 4*m = m + 7. Suppose 0 = 5*p - u - 3. Solve -x - 4*s + 3 = 0, -x + 2 - p = 2*s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 - 12*y + 15*y - 58 + 171 - 54.\nAnswer: 3*y + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/12)\/(13\/208). Let t(i) be the second derivative of -10*i + 0*i**2 + 0*i**3 + 11\/12*i**c + 0 - 1\/10*i**5. Find the third derivative of t(p) wrt p.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 290116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5*(sqrt(1539) - (sqrt(1539) + sqrt(1539) + -4)) + (sqrt(1539)*5)**2*-4.\nAnswer: -153883 - 45*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*c = 4, -c = z - 7 + 3. Let b(k) = k**2 + 4*k - 4. Let p be b(-6). Let y be (-8)\/2*4\/p. Put 2, y, z in descending order.\nAnswer: 2, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q - 788 = -0*h + 4*h - 1120, -h = 4*q - 78 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -515 (base 7) in base 14?\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - j = -8, -5*j - 18 = -3*h + 7*h. Let k(l) = 444*l**2 + l - 1. Let g be k(h). Suppose g = 5*r + 283. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 104 = -p, -14*n - 4*p + 130 = -9*n. Solve 10*g = -14 - n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 + -22. Suppose 3*f + p = 83. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4147, 4150, 4163, 4192, 4243?\nAnswer: 4322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + -3*(-1 + sqrt(128)) + 2)*4)**2 + -3 + (0 + -1 + sqrt(128) + sqrt(128))**2 + 3 + sqrt(128) + 0.\nAnswer: -2584*sqrt(2) + 9105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 688 - -16?\nAnswer: 6a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 965398 + 155398. Round i to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 547*p + 551*p = -39, 0 = h + 7*p + 30 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0916837573 - -0.0322?\nAnswer: 0.1238837573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 552 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -20*o**2 - o + 4. Let w(i) = 57*i**2 + 2*i - 12. Let d(n) = 17*m(n) + 6*w(n). Suppose 5*r = -s + 19, -23 = -5*s + 2*r - 3*r. Determine d(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 26. Let z(f) be the first derivative of 0*f**4 + 0*f**2 + 1\/3*f**6 - 2 + 0*f**5 + 1\/3*f**b + 0*f. What is the third derivative of z(n) wrt n?\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -41242?\nAnswer: 41234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-8))\/(20\/32). What is the fourth smallest value in -58, r, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 10:36 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 483 and 1288.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 w when two letters picked without replacement from {j: 1, w: 1, t: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62 + 75. Calculate the highest common factor of 1 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64445?\nAnswer: 5, 12889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jhh when three letters picked without replacement from hjh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 61.2 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 12\/13 (b) -2 (c) 1\/4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1446 divided by 1446.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2044345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 2*m = 7*i - 711, i = 4*m + 719. What are the prime factors of i?\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-98)\/(-4)*23*11*78\/9867.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6109 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 53*l**2 + 55*l + 162. Let z be q(-52). Solve 0 = -u + 4, 0 = b - 3*u + z*u - 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -351 - -365. Suppose 0 = -y - k*y + 30. Solve -2*c + 5*i = -12, -y*c - 1 = -7*c - 2*i for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1568*y**6 - 711*y**2 - y.\nAnswer: 188160*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-212)\/(-3074) - (-2616)\/(-87).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 3*t = -r + 5, -r = -2*t - 2. Let q be (-3 - r)\/((-1)\/115408). Let b = q - -245408. What is b rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*6*(4 + sqrt(48) + sqrt(768)))**2*1.\nAnswer: 144000*sqrt(3) + 1094400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**2*h*t + 57*d**2*t - 3*d**2 - d*h*t + 2*d*h + 53*h*t - 26*h + 52 wrt t.\nAnswer: d**2*h + 57*d**2 - d*h + 53*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y + 5. Let i(w) = -w**3 - 44*w**2 - 521*w - 892. Let j(a) = 2*i(a) + 4*n(a). Factor j(d).\nAnswer: -2*(d + 2)*(d + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 2:10 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*b + 2*n + 5, 0 = -b - 2*n + 9. Which is smaller: b or 20\/3?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 6 + 106 + (-22 - -31) + -7 + -6\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**3 - 2 + 2*d**3 - 2*d**2 + 2*d**3 + 0*d**3 in the form w*d**3 + b*d + z + p*d**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1820 and -11552.\nAnswer: -9732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 630 - 350. What are the prime factors of o?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 7 + 19. Let v(h) = -15*h - 24. Let n(c) = 7*c + 12. Let k(p) = 13*n(p) + 6*v(p). What is k(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1261*u + 682*u + 758*u)*(6 + 8 - 4 - 3 - 4 + 5 + 4 - 2 + 0 - 2 - 1 + 1 + (-5 + 3 + 0)*(3 + 3 - 5) - 3 + 2 - 1) in the form n*u + z and give n.\nAnswer: 716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 14. Suppose 3 = 2*g - n. Solve -4*s + g*h - 5 - 15 = 0, -5*s + 2 = 4*h for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -5*t**7\/42 - t**6\/3 + 3*t**5\/4 + 5*t**4\/3 - 10*t**3\/3 - 345*t. Solve i(a) = 0 for a.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2739985 = -4*j - 109626, -j - 5*o + 657616 = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1122251635 + -1122251607.00000884. Let z = f + -28. What is z rounded to seven decimal places?\nAnswer: -0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (5 + -11) - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-48)\/30)\/(2\/(-5)). Let z be 7\/28 + 11\/b. What is the third derivative of -c**3 - 2*c - 3*c**2 - z*c**3 + 2*c wrt c?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**2*l**3 - 2518*i**2*l**2 + 242*i**2*l + 2*i**2 - 2*l wrt l?\nAnswer: 6*i**2*l - 5036*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*2.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (14 + -9 + -9 - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i = -30 - 6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*i - 113 = 0, h - 2*i + 0*i - 101 = 0. Let y be 39\/(h\/48 + -2). Suppose -y = -4*c - 0*c. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1377)*2)**2 - (0 + sqrt(1377))*1.\nAnswer: -9*sqrt(17) + 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2706\/45 + -1 + 52\/60. Suppose 0 = 2*g + t - 123, -g = -0*g + 2*t - 63. Is g != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o + 20 = 2*n, -3*o + 5*n = -4*o - 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 7:50 AM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 130, 140, 152, 166, 182, 200?\n\"Answer: x**2 + 7*x + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1264)\/184 + 7)\/((7125\/(-38))\/(-25))?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20076959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16071, -16144, -16265, -16434, -16651?\n\"Answer: -24*d**2 - d - 16046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 143*z + 1131. What is u(-8)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b - 33 = w, 13557 = -5*b - w + 13536 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 11*k**5\/2 + 210*k**4 + 412*k**3 - 768*k**2 - 1736*k - 288 = 0. Calculate k.\nAnswer: -36, -2, -2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 26*g - 208. Let k be a(8). Suppose -47*n + 41*n + 228 = k. What is the remainder when n is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 5*h**2 - 3*h - 3. Let r(m) = -m**2 + 11*m + 7. Let s be r(12). Let q be v(s). List the prime factors of 104\/q*3\/2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -48 (b) 114\/13 (c) -1\/11 (d) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 8*c + 2. Let n(j) = -j - 13. Calculate n(o(d)).\nAnswer: -8*d - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 302005 and 293590?\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16794 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 31\/2 of a tonne?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.057 - -4.743. Let m = -0.2 - z. Which is the second smallest value? (a) 0 (b) 11 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 3 = -33. Calculate the least common multiple of r and 13.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 0*g - g - 12 = 0, -12*w - 22*g + 25*g + 66 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-35))\/3*-1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2878 - -2964. Solve 44 = 26*t - k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -208 (b) 3 (c) -1978\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -8*c + 26. Let a be r(4). Let z(i) = i**3 + 21*i**2 + 20*i - 4. Let q be z(a). What is the greatest common factor of q and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 + -722157058173?\nAnswer: -722157058172.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -18*k**2 + 27*k - 10. Let b(m) = 6*m**2 + 2. Let s(n) = -2*b(n) - h(n). What is s(5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225*h**3 - 1888*h**3 - 154*h**3.\nAnswer: -2267*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 4, n: 1, y: 1, t: 1, x: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*y + 183, 3*y - 6*y + 3*i = -144. Suppose 3*d + 40 = -y. Let h be 4*(-1 - d\/4). Solve -3*x - 2*x = -h for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -129030 divided by 15\nAnswer: -8602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*z + 7*x, -1034*x + 14 = -2*z - 1030*x for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9623310 is divided by 45608?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22831815 and 59424?\nAnswer: 1857","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-24)\/(-14))\/((-16)\/(-56)). Differentiate 450*i**3 + j + 44 - 482*i**3 - 9 wrt i.\nAnswer: -96*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 2) + (13 - 8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1783420*z = -3*i + 1783414*z - 39, -5*i + 5*z - 6*z = 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*(n\/n**(-4)*n)\/n))**46)**23 assuming n is positive.\nAnswer: n**(-5290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 642085969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 13 = -2. Suppose -v*x = -8 - 27. Suppose -2 = k - 8. Is k at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5335 (base 8) to base 7\nAnswer: 11052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -76240 divided by 5?\nAnswer: -15248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -9*i - 36. Let g = -30 - -25. Let v be d(g). Suppose 14*k = v*k + 10. Solve z = -c - z - 4, 0 = -c + 4*z + k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94 - -824. Suppose 10*m - 2380 = -r. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 64023 = -4*q - 63993, -4*q + 63 = 4*v + 19 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(0 - 6\/(-9)). What are the prime factors of 337\/j - (-14)\/21?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-44) - 192\/(-33). Suppose -17*x = -20*x + i. What is the smallest common multiple of 20 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15500337 (base 8) to base 9\nAnswer: 6643686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 403855051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -b5a89c (base 13) to base 12\nAnswer: -150b927","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 + 21*z - 11. Let w be j(-11). Let q = w - 8. Let r(y) = -2*y + 16. What is the remainder when 124 is divided by r(q)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j = 0, 4*t = -4*j - 96. Let k = -17 - t. What are the prime factors of -2*k*1\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -216869 and -13.\nAnswer: 2819297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.32 + 0.4. Let o = -0.04 + y. Let f = 2.96 + o. Which is the second biggest value? (a) -2\/9 (b) f (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -405222 divided by 6.\nAnswer: -67537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2249513163 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/10)\/(((-96)\/(-1412))\/3). Let f = r - -77\/16. Let 1\/5*m**4 + 0*m - f*m**2 + 1\/5 + 0*m**3 = 0. Calculate m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -451*l - 79 = -530 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 12261*a**3 + 45*a + 35*a - 12265*a**3 + 11*a - 1 as i + v*a**3 + x*a + o*a**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-31)\/(2790\/144))\/(286\/55)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/2*(-30)\/(-9). Suppose -49*v + 50*v - 3 = 0. Suppose 4*f + 2 = 14. Solve -f*h = v*q - q - 8, -3*q - l*h = -12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 25, 2, -39, -104, -199, -330?\nAnswer: -503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -438787*n**3 + 775521*n**2?\nAnswer: -2632722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/1483 + -4445\/2966. Which is the closest to -3\/2? (a) z (b) -3\/4 (c) -9 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, v: 2, r: 4, d: 1, f: 1}. Give prob of picking 1 v and 3 c.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a - 2*a - a + (-5*a + 3*a + a)*(6 + 0 + 0) - 3*a - 7*a + 35*a to the form u*a + k and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -2990, -2.\nAnswer: -2990, -2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -10, -w = 5*u + 4*w + 1035. Let a = u + -535. Round a to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 226\/339*(-6)\/(-16)*4. Let f(k) = -3*k - 39. Let l(a) = -a - 1. Calculate c*f(i) - 2*l(i).\nAnswer: -i - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 1110110010001001100111111001?\nAnswer: 1110110010001001100111111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 40887 and 40904 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.161? (a) -3 (b) 6 (c) -0.17 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/2)\/(21\/231 + (-15)\/(-198)). Let s = -0.03 - 0.47. Sort 4\/7, -1\/7, s, o.\nAnswer: o, s, -1\/7, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6403 is divided by 27?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**5\/60 - 17*v**4\/24 + 53*v**3\/6 + 1146*v**2 - 1. Give o(-20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2342672999 - 2*n**2 + 2342672999.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3442106?\nAnswer: 2, 1259, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*a**3 + 471*a**2 + 539*a + 60.\nAnswer: -(a - 60)*(a + 1)*(8*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54087616 to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 181 in 2, 21, -0.1, 0.1?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v + 66. Is b(-20) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39256853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3696, -9, -3364 in ascending order.\nAnswer: -3364, -9, 3696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31.4 + -4.4. Let n = 37.3 - p. Let j = n + -10. Is -0.3 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1520 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/36 + (-53926)\/(-1416).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 1252*r**3 - 15*r + 5. Let p(x) = -626*x**3 + 6*x - 2. Give 2*g(d) + 5*p(d).\nAnswer: -626*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express w + 447567 - 2*w - 447609 in the form j*w + q and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 1\/3, 14, -10.\nAnswer: -10, -1\/8, 1\/3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j. Let h(f) = -43 - 60 + 20*f - 19*f. What is i(h(w))?\nAnswer: -2*w + 206","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, 84, 6\/11 in descending order.\nAnswer: 84, 0.8, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 13*x**2. Let l(m) = 2*m**2 - 64*m. Give l(p(n)).\nAnswer: 338*n**4 - 832*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, z: 5, i: 3, c: 4}. Give prob of picking 1 c and 3 i.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 15) to base 14\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25932900 rounded to the nearest one million?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/(-8))\/((-1)\/(-16)). Let a = -36 + 47. What is the least common multiple of 10\/4*u\/(-10) and a?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 194069810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*h - 2555\/6 + 5\/6*h**2.\nAnswer: 5*(h - 7)*(h + 73)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccicciciciccicccc. What is prob of sequence iii?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 27525*t + 8. Let n be d(-5). Let k = -233617 - n. Round k to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 272? (a) 2536 (b) -2\/5 (c) -0.03 (d) 0.5 (e) -0.1 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 361788 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 + 10 = 3*d + 5*u, 85 = 3*d + 2*u. Suppose 4*a = 3*w - 1 - 5, -5*w + a + d = 0. Let o = w + 21. Is 27 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 28*u**2 - 169*u + 45. What is q(33)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*o**2 + 7*o**2 - 116 + 116.\nAnswer: 119*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a minute in milliseconds?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 950979?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*l + 16. Solve l*b - 46 = 24 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 414741060?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -12*b + 5. Let x(y) be the second derivative of 34*y**3 - 42*y**2 + 56*y. Let r(l) = -84*i(l) - 5*x(l). Let g(p) = 11*p. Calculate g(r(q)).\nAnswer: -132*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/15 (b) 3\/5 (c) 5 (d) 7\/2 (e) 4\/7 (f) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39607428 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 638 divided by 319?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*p - 7064 + 4426 = 1223 for p.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*i + i - 2, 0 = i + 3*y + 2. Let v be (-11)\/9 - i\/9. Let p(r) be the first derivative of 3*r**2 + 1. Determine p(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-87 - -86)\/((-14)\/6) + (-17)\/(-42)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14, -31, -54, -83, -118?\n\"Answer: -3*f**2 - 8*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2739440 and 193006?\nAnswer: 6226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 3*m - 121. Suppose -5*o + 13 = -3*l - l, 4*o + 3*l = m. Differentiate -o*z**2 + 2*z**2 + 2*z**2 - 2 wrt z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1770513 = 4*k - u, -2*k + 885244 = -9*u + 11*u. Suppose 34*y = 114055 + k. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, z: 3}. Give prob of sequence nzzz.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2118 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c**2 + 9*c + 4. Let p(b) be the third derivative of b**5\/30 + b**4\/6 + b**3\/3 + 214*b**2. Determine 13*p(k) - 6*z(k).\nAnswer: 2*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 11*c = -12*c + 309, -3*c = 5*h - 515. What is the second derivative of -14*i - 9*i - 19*i**3 - 7*i + 29*i - h wrt i?\nAnswer: -114*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -141453 and -0.056318.\nAnswer: -141453.056318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 1691934?\nAnswer: 11843538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 2*w + 2. Let j(u) = 135*u**2 - 72*u + 72. Let r(n) = -j(n) + 36*q(n). Let l(g) = 2*g. What is l(r(y))?\nAnswer: -342*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - l**2 - 2)*(39*l**2 + 26*l**2 - 26*l**2) + 2*l**4 + 4*l**4 - 5*l**4.\nAnswer: -38*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -84*v**3 - 11*v - 31. Is u(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - 5 - 3) + (-1 - (5 - 0)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 691356*-0.02\nAnswer: -13827.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 53*o**3 - 49*o**3 + 111*o**3 + (-6*o + 3*o + 2*o)*(3 + 3*o**2 - 3).\nAnswer: 112*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2*c - 3)*(-2*c - 3 + 3) + 3*c**2 + 0*c**2 + c**2)*(5*c**3 + 66*c - 66*c).\nAnswer: 40*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3\/6*-8*2\/2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 6*s. Let i(l) be the third derivative of l**4\/12 + 9*l**2. Give d(i(w)).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -144*n**2 - 132*n**2 + 247*n**2 in the form z*n + o + y*n**2 and give y.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (-2134258)\/(-942) + 1\/((-3)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61503 - 61500. Factor 31\/4*z + 14*z**2 - 4*z**d + 1.\nAnswer: -(z - 4)*(4*z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -9*g**3 + 2*g**2 - 4. Let o = 16 - 13. Let t(l) = -4*l**3 + l**2 - 2. Give o*y(s) - 7*t(s).\nAnswer: s**3 - s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 46024, 184100, 414228, 736408, 1150640?\n\"Answer: 46026*g**2 - 2*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112886799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.148908 (b) 1\/10 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3427547056?\nAnswer: 2, 61, 57571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-5))\/(14\/(-35)) + 68. Suppose -d + 66 = j. Let p = 2\/65 + 59\/195. What is the closest to j in -2\/11, p, -0.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 o when three letters picked without replacement from foluofumuubm?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 92 - 133. Let q be (-1)\/3 - 1275\/b. Does 10 divide (540\/42)\/(6\/q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*h - 310 = 3*d, 3*d - 554*h = -550*h - 44 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -35, 2, 2484, 4 in decreasing order.\nAnswer: 2484, 4, 2, -35, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44\/7*o**2 - 4\/7*o**5 + 24\/7*o + 0 - 12\/7*o**4 + 12\/7*o**3 = 0. What is o?\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.171226 rounded to 1 decimal place?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9499.014 millimeters to centimeters.\nAnswer: 949.9014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 12) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12346431 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(45) + sqrt(180)\/sqrt(4))**2 + -3 - ((sqrt(500) + 0 + -5 - sqrt(500)) + (sqrt(500) + -1)*6)**2.\nAnswer: -17928 + 1368*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -12718130 < -12718130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.43*3811.83.\nAnswer: -1639.0869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4 = 4*x, 0 = -4*x - 0*x + 5*d - 13. Let t be -3*(-2)\/4*(-437 - -15). Calculate the common denominator of (-3)\/(-21) + t\/70 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 1103200?\nAnswer: -1103130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19970 and 1?\nAnswer: 19970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -31*z**2 - 3. Let s(p) = 26*p**2. Give s(g(x)).\nAnswer: 24986*x**4 + 4836*x**2 + 234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6538*d**2 - 8446?\nAnswer: 13076*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6291 in 2.04, 2\/7, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11671 or -788?\nAnswer: -11671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -10 + 1130\/225 + 5. Let w(x) be the first derivative of -1\/9*x**3 + 1\/2*x**2 + 0*x - 5\/36*x**4 - s*x**5 - 6. Determine p, given that w(p) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -634 + 630. Let i(r) = -5633*r - 9. Is i(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -758*w - 1 + 1 + 186*w + 198*w + 187*w + 185*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0305 - 251.9695. Let b = z - -251.085. Let t = 0.9 + b. What is t rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008542778 rounded to four dps?\nAnswer: -0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a century?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -12, 5 in descending order.\nAnswer: 5, 4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*m + 40*m + 41*m)*(2 - 4 + 3) in the form a + h*m and give h.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12, -52, -232, -588, -1180, -2068?\n\"Answer: -10*m**3 + 2*m**2 + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9619, -9570, -9449, -9220, -8847, -8294, -7525?\n\"Answer: 6*f**3 + 7*f - 9632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 16 = g + 3, 0 = g + 5*r + 22. Suppose 525 = 135*i - 60*i. Solve -g*w + i = 5*k, -2*w + 4 = 3*k + k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32635572*g**3 - 185950801 with respect to g.\nAnswer: 97906716*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 48, 97, 144, 183, 208, 213?\n\"Answer: -w**3 + 5*w**2 + 41*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 651993 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33640 is divided by 16282.\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1 + (-3 + 3 - 2)*(5 - 2 - 1) + (3 - 4 - 2)*(1 + 2 - 2))*(k**2 + 20*k**2 - 5*k**2).\nAnswer: -144*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.58 + -0.53. Let s = o - 0.05. Which is the closest to 2\/7? (a) 0.5 (b) -0.2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31412928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -73 - 3?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 309834 and 30506?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 2:21 PM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 945859?\nAnswer: 613, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - (sqrt(102) + (sqrt(102)*2 - sqrt(102)))*-3)\/(2*sqrt(294)) + -3.\nAnswer: -3 + sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5*o**2 - 3*o**2 + 0*o**2 - 2*o**2 - 6*o. Let q = 104 + -100. Suppose 2 = -2*m + q*m. Let c(i) = -i**2 - i. Give m*g(h) - 6*c(h).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -7*h + 8. Let s be p(-6). Let z(l) = -l**3 + 35*l**2 - 150*l + 300. Let c be z(30). What is the greatest common factor of c and s?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 2. Suppose -5*t = -4*z - 42, -t + n + 4 = -2*z. Solve -t = -j - j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -250250.3833 rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-766)\/(-12) - (-3)\/18. Suppose 2*k - 27 = -f - 9, -4*k + i = 3*f. Solve 4*n = 2*s - f, 7 = 2*n - 5*n - 2*s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l\/l**0)**(23\/2)*((l*l\/((l\/l**(-1\/33))\/l)*l)\/l*l)\/l**16)**(-13) assuming l is positive.\nAnswer: l**(-18421\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2187*r - 8 = 2191*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k**2 + k**2 - k**2)*(2*k + 2*k - 6*k) + k**2 - k**2 + 2*k**3 - 1071*k**3 + 2152*k**3 + 17 - 1075*k**3 to w*k**3 + m*k + u*k**2 + l and give l.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p + 1885. What is the units digit of c(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23936 - 14116. What is y rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(343) + sqrt(343) + -5 + sqrt(343) + sqrt(343))**2 - sqrt(343)) + (4*(sqrt(35)\/sqrt(5))**2 - (-4 + sqrt(7)*-2)).\nAnswer: -285*sqrt(7) + 5550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.22651 to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**3 - 7*c**2 - 95*c + 200. Calculate l(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 0*j - 7*j**2 + j - 12 - j**3 + 2*j**3 + 2*j**2. What is the tens digit of n(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*o + 51*o + 60*o - 160*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 168937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 16 = 2*i. Suppose 13 = i*d - 3. Suppose 0 = -4*z + d, 1 = 4*w + 5*z - 1. Which is the closest to -0.1? (a) w (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rss when three letters picked without replacement from {p: 1, s: 2, r: 1, f: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*p - 140 = -2*a, 29 = a - 2*p. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -1\/3, -0.5, 3, 385, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622652.\nAnswer: 2, 155663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/((-2208)\/(-23)))\/((-1)\/(-93))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - 0. Let o(b) = b + 2. Let n be o(t). Let f(c) = 0 - 4 - c + 2 + 3. Calculate f(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -50709*c**4 - c**3 - 3*c + 1837119.\nAnswer: -202836*c**3 - 3*c**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**7\/i*i**(-16) assuming i is positive.\nAnswer: i**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -262*z**2 + 262*z**2 - 13*z - 2*z**3 + (2 + 2*z - 2)*(28 - 15*z**2 - 28).\nAnswer: -32*z**3 - 13*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8016 + 6682 = 46*o for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2312 and 587826?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 2*u - 13 + 18, 2*k = -3*u - 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -10. Let o(l) = l**3 + 6*l**2 + 4*l + 5. Let z be o(c). What is the second derivative of 13*n - 5*n - z*n + 12*n**3 wrt n?\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1490, -1714, -1914, -2090, -2242, -2370?\n\"Answer: 12*y**2 - 260*y - 1242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 0.1 (c) -2 (d) 0.082 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1201*u = -1204*u - 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 1043294?\nAnswer: 3129882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5015*y. Let c(s) = -9033*s**2. Give c(j(l)).\nAnswer: -227181982425*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/171 (b) 4\/3 (c) 3 (d) 2411 (e) -2\/19 (f) -4\/9 (g) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 1)*(0*p**2 + 4*p**2 - 2*p**2) - 3 - 846*p**2 + 331*p - 185*p - 150*p as h*p + l + z*p**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12453157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1696423301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 497230 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**2 + 1602*z - 1600 = 0.\nAnswer: 1, 800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6288?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (((-189)\/(-308))\/27)\/(20\/32)\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*d**3 + 10*d - 201.\nAnswer: -18*d**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1708545 is divided by 196?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 + 26. Solve -b*f + 0*f = -o - 3, o = -3*f - 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 0*x**2 - 2*x**2)*(0 + 0 + 2*x**3) + (0*x**3 - 2*x**3 + 4*x**3)*(-9 + 9 + 6*x**2).\nAnswer: 6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p. Let a be 2\/3 - 70\/15. Let d be (a + 3)\/((-3)\/69). Let x(m) = -d + 2*m + 23. What is x(o(h))?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 43364a (base 11) in base 14?\nAnswer: 14072c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46 - 49. What is the third biggest value in b, -2\/13, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 601326.8m?\nAnswer: 601326800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-7 - (-7 - (8 + 9))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than or equal to 3645016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(-1239 + 647 + 434)*(311 - 20*a - 311).\nAnswer: 3160*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2. Suppose 2*k - 1 = 7. Suppose -19 = -k*x - 11. Let c(i) = -i + i + 4*i**x - 2*i**2. What is c(h(z))?\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25.996 - 26. Let o = l - 0.096. Which is the nearest to o? (a) 5 (b) -3 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491*i - 15 = -494*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -187*d**4 + 132*d**4 - 2 - 3*d + 63*d**4 + 3*d**2 in the form r*d**4 + n*d**2 + h*d + b*d**3 + o and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23110534?\nAnswer: 2, 113, 102259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 70 + 275?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 7*x - 5. Let r be h(-7). Let o = r + 14. Let s be (46 - 1)*(0 - -1). Calculate the greatest common divisor of o and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180637, -181048, -181733, -182692, -183925?\nAnswer: -185432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-4280)\/21828*27\/(-30)\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62904.\nAnswer: 2, 3, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*n = -4, -2*n - 6 = -3*o - 0*n. Calculate the highest common factor of o and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20191303 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: Is 4541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/948183 and 91\/372.\nAnswer: 117574692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -10*n**2 - 13*n. Let x(z) = 5*z**2 + 6*z. Suppose 5*s = -3*v + 25 + 8, -15 = -3*s + 3*v. Give s*q(j) + 13*x(j).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25530 is divided by 8507?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 11:28 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a factor of 744356045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/119))**(14\/5))**(-2\/9) assuming l is positive.\nAnswer: l**(-8\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 19*j + 10. Let z(g) = -13*g - 7. Let r(i) = -5*t(i) - 7*z(i). What is the units digit of r(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*((r*r**(-2))\/r)\/r)**(10\/7)\/(r**(-2\/3))**(9\/2) assuming r is positive.\nAnswer: r**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8005?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86972576 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -224*r**2 - 961*r**2 - 183*r**2 + 238*r**2 - 348*r**2 in the form d + n*r + f*r**2 and give f.\nAnswer: -1478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*g - 26. Suppose 0 = 2*l + 4, 5*x + g*l = 4*l - 1. What is the greatest common factor of 7 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2841 - 3424. Which is smaller: v or -584?\nAnswer: -584","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 51*y**2 + 5*y**2 - 307*y**2 - 37*y**2 + 5*y**2. Let x(a) be the second derivative of a**4\/12 + a. Determine r(x(n)).\nAnswer: -283*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 4*m**2 + 57*m - 15. Let v be i(-6). Solve 35*l = 32*l + v for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1 + sqrt(450)\/sqrt(10) + 5.\nAnswer: 6 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 164bda (base 14) in base 3?\nAnswer: 1110201012210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -108508 - -501245. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 82 - -45. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*l + l + 104, -248 = -5*l - 2*j. Suppose 4*y + 2*h - 44 = 0, -4*y + h + l = 2*h. Calculate the remainder when 38 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7350 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/6 of a minute?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13500 and 532500.\nAnswer: 4792500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in -11433, -5\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*n - 20 = -97*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 134.07221 rounded to one decimal place?\nAnswer: 134.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from edadeddfdrdrddddrd. Give prob of picking 1 e and 1 d.\nAnswer: 22\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9696416 decades in years?\nAnswer: 9.696416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r + 5. Let s be 1\/(-4) - (-34)\/8. Suppose -2*n - 4*w - 1 + 9 = 0, -2*n - 2*w = -6. Calculate the remainder when n is divided by u(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v + 1. Let f be q(3). Sort -0.4, f, -0.05, 0.2.\nAnswer: f, -0.4, -0.05, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(3) - (sqrt(3) - (sqrt(3) + sqrt(75)*6))) + 5 + (4 + sqrt(112) + 1 - (-1*sqrt(112) + -3 + sqrt(112) - sqrt(112) - sqrt(112))))**2.\nAnswer: 9698*sqrt(7)\/31 + 1136312\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.11 - -0.11. Let w = 107.2 - 120. Let v = h - w. Round v to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*d = -153*d - 23. Let x(s) = -s + 54. What is the remainder when x(d) is divided by 22?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-2 + (sqrt(425) - (sqrt(425) + 0))*2 - (sqrt(425) - (5 + sqrt(425) + sqrt(425) + 2))*6))**2.\nAnswer: 2460*sqrt(17) + 16981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 4:27 PM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3072.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.03 and -24155762.\nAnswer: -24155761.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/17? (a) 0.02 (b) 5 (c) 0.032\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 13, -9, -43, -89?\n\"Answer: -6*n**2 - 4*n + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(-117)*1*9)\/((-6)\/8).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 4\/3, 2 in descending order.\nAnswer: 2, 4\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1737 + 5*o**2 + 383 + 274*o + 31*o.\nAnswer: 5*(o + 8)*(o + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -5\/3, 0, 1, 1\/11 in decreasing order.\nAnswer: 1, 1\/11, 0, -1\/5, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -78*j. Let n(q) = -19*q**2. Calculate h(n(z)).\nAnswer: 1482*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**10*z*(z**(1\/4)\/z)\/z)\/(z*z**47*z*z**(-2\/5)\/z))**(-34) assuming z is positive.\nAnswer: z**(13039\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75 or 299?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/11, 1, 0.05, 0 in decreasing order.\nAnswer: 1, 0.05, 0, -12\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, a: 9, h: 5, m: 2}. What is prob of picking 1 m and 1 a?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 155400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -791 + 530. Let m = -280 - w. Is 1.4 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/7, 1, -8, -6191, -17\/5?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9955273 is divided by 3318422?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-237)\/(-6))\/(582\/1164)\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 641404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 1022?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162366?\nAnswer: 2, 3, 27061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62 + 74. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-53\nAnswer: 10.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 875 + -822. Calculate the remainder when 168 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a litre in millilitres?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h\/(h*(h*h**(1\/2)*h*h)\/h)*h)\/h))**13\/(h\/(h*h\/h**(-6))*h*(h\/h**(3\/7)*h)\/h) assuming h is positive.\nAnswer: h**(713\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 4*y - 3. Let d be t(8). Let g(c) = c**3 - 7*c**2 + 8*c - 3. Let x be g(5). Let k = x + d. Is 16 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 - 13*x**3 + x**3 + 10*x**3 + 4*x**4 - 1 + 7*x + 9*x - 5*x**4 in the form s*x + t + v*x**2 + h*x**4 + i*x**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 + 4 - 0) + 22. Which is greater: o or 20?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.57027*0.236\nAnswer: -1.07858372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 165 + 122. List the prime factors of g.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1154 - 1068.558?\nAnswer: -2222.558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-two fifteenths of a decade?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2, 22 in increasing order.\nAnswer: -7, -2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-1*(-5)\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**4 + 0*f**4 + 0*f**4 + (2*f**2 - 2*f**3 - 2*f**2)*(0*f + 3*f - 2*f) - f**4 - 12*f**4 - 17*f**4.\nAnswer: -29*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 2449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 35 - (-38 + 95) - (-16 - -1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00513045 to 6 decimal places.\nAnswer: 0.00513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 2*v + 21 + 31, 0 = 2*y + v - 35. Suppose 0 = -y*q + 177 - 33. Solve 0 = 5*h - q*h + 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v + 3*v + 3*v)*(-24 - 30 + 64) as u + q*v and give q.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -6*j. Let k(z) = 3. Let u(w) = -2*w + 11. Let g(c) = 22*k(c) - 6*u(c). Determine g(b(h)).\nAnswer: -72*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -465942054 divided by -155314018\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3504 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -5. Let a = 1505 + -1509. Put 2\/15, a, b in increasing order.\nAnswer: a, 2\/15, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2062.7156 times -0.4\nAnswer: 825.08624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o**2 - 5. Let u(s) = -6*s**2 + 8. Let y = -17603 - -17598. Calculate y*u(x) - 7*c(x).\nAnswer: 2*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - k + 6. Let m(v) = -k*v**2 + 2 - 1 + 2. Let b(z) = -z**2 + 1. Let c(x) = 3*b(x) - m(x). Let u(g) = -2*g**2. What is u(c(y))?\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 2*m + 6. Let i be k(-5). Let r = -12 + i. List the prime factors of r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 4*f + 3. Let z be s(-3). Let m = -18 + -24. Let j = -23 - m. Solve 3*n = 4*d + 24, -n + 5*d + z = -j for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = i - 11, -4*l - 5*i - 16 = 25 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2920989 a multiple of 381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.1351 kilograms to tonnes.\nAnswer: 0.0111351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21520254210 - 0?\nAnswer: -21520254210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 1. Let n(o) = 16*o**2 - 12. Let z(s) = -2*a(s) - n(s). Differentiate z(j) with respect to j.\nAnswer: -28*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 506.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f + 94. Let x(k) = -2*k + 47. Let o(p) = -13*x(p) + 6*y(p). Let l be o(13). What is the highest common factor of 76 and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**5\/10 - 67*f**4\/24 - 11*f**3\/6 - 12*f**2 + 196*f. Factor x(o).\nAnswer: -(o + 11)*(6*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*m**4 + 249143*m**3 + 16*m - 48195402 wrt m?\nAnswer: 12*m**3 + 747429*m**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 161, -0.5, -3, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/45 and 19\/225.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -60, -72, -110, -186, -312?\n\"Answer: -2*m**3 - m**2 + 5*m - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -971 - -1383. Let i = j + -410. Solve 2*c + 6 = 0, -a = i*c - c + 7 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 7*c**2 - 6*c + 5. Let m be b(-6). Let s be ((-4)\/m)\/(2\/(-5)). Let z be (0 + 27\/6)*s. Solve -2*a - o = 3, -a = 2*a + 3*o + z for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 231 and 7495341.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72 + -60 + 57 - -27?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1845\/4 - 461. Sort -2\/9, -0.39, u, 13, 1\/5 in ascending order.\nAnswer: -0.39, -2\/9, 1\/5, u, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f + 72. Give w(4).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -121?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-6*(sqrt(22)\/(sqrt(2) - (sqrt(2) - 3*-2*sqrt(2)) - sqrt(2)) + (sqrt(121)\/(sqrt(11)*-2) - sqrt(121)\/(sqrt(11) - -1*sqrt(11)))) + -1))**2.\nAnswer: -3456*sqrt(11)\/7 + 914148\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 21 = 5*x, x - 5*y = -0*x + 21. Let p(d) = 63*d**2 - 2*d + 1. Calculate the remainder when p(x) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7, 2, -7 in decreasing order.\nAnswer: 7, 3, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.56 from 0.064.\nAnswer: -0.496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/6)\/1 - ((-1015)\/(-42) + -5 + -10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3*sqrt(6)\/sqrt(2) + (sqrt(15)\/(sqrt(20)\/sqrt(4)) - sqrt(3)) + (sqrt(6)\/sqrt(2)*5 - sqrt(3))*6))**2.\nAnswer: 8748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 7*p**2. Let r(q) = 11*q + 8. Let f(k) = 8*k - 25. Let z(n) = -n + 4. Let o(j) = 6*f(j) + 39*z(j). Let g(i) = -4*o(i) + 3*r(i). What is g(h(d))?\nAnswer: -21*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/8)\/(63\/48).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 338.62 + -288.5. Let d = 49 - y. Let m = -1.62 - d. Which is the second biggest value? (a) -5 (b) 0.3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 9 - (-26 + 12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 34296.18 to the nearest ten.\nAnswer: 34300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11708?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117 divided by -17.\nAnswer: -117\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1125475 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-1)*1*-4. Suppose z - 3 = l, l = 7*z - 3*z - 9. Suppose 0 = -z*r + v + 4. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 8. Let w = 9 - o. Calculate the smallest common multiple of w and (0 + -2)\/(-2) + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16801 + 25*r - 16811 + 33565)*(2 + 2*r**3 - 2).\nAnswer: 50*r**4 - 94*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2596992 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1209 + 3003 = 4*b. Let x = 2180 - b. What are the prime factors of x?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 22*f + 21. Suppose 5*v - 5 = 0, w - 2*v + 19 = 2*v. Let j be o(w). Round j to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -2\/13 (c) 0.6 (d) -14\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n. Suppose 3*k = -3*u, 2 + 2 = 5*k + u. Let f be a(k). Suppose -3*j = -4*t, 0*j - 24 = -f*t - 3*j. Solve -l - t*l = 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29\/4 in 1\/6, 4, -15, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(-3*i + 7*i - 3*i) - 83*i - 122*i + 21*i - 2*i + i - i.\nAnswer: -184*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -42, v - 2*c + 3*c - 213 = 0. Calculate the greatest common factor of 515 and v.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -74 - -192. Let q(p) = -1 + 1 + n*p**3 - 116*p**3 - 9*p**2. Let d(c) = 2*c**3 - 10*c**2. Let k(z) = 5*d(z) - 6*q(z). Factor k(w).\nAnswer: -2*w**2*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32948 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = k - 2. Suppose -14*c + k*c = 33516. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-5) - 4216\/40. Calculate the remainder when 103 is divided by (-2 - j\/20)*8.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -10.1 (b) 4 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.007? (a) 4 (b) 0 (c) 7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12196*u - 12200*u - r + 68, -4*u - 2*r - 26 + 94 = 0 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -24*q + 3. Let d be i(1). Let r = 25 + d. Factor 2*s**3 - 4*s**3 - 3*s**5 + s**4 + s**5 + 3*s**r.\nAnswer: -2*s**3*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -1384, -3, -1 in decreasing order.\nAnswer: 4, 2, -1, -3, -1384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wrcr when four letters picked without replacement from {r: 5, g: 7, w: 4, c: 2}?\nAnswer: 1\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + -6. Let t = -26 + g. Let j = t - -37.99999977. What is j rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 - 5*d + 4*d**3 - 25*d - 2*d**3 + 2*d.\nAnswer: 3*d**3 - 28*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -1520589 and -5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 47*c + 440. Let y be p(33). Suppose 3*q + 581 = 5*h, 0 = 4*q - 2*q + 4. Let t = y + h. What are the prime factors of t?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 8*y - 4. Let l be c(7). Calculate the lowest common multiple of -6*(-2 + 2\/l) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d - 1 - 4*d**2 - 3*d - d**2 + 9*d**2. Let v be y(-1). Suppose 44*u - 2 + 2 = 0. Solve 2*i + u*j + 3*j - 3 = 0, -v = 2*i - 5*j for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 72585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -4*n - 3*i + 17, -2*i = -n + 21. Solve 2*s - 6 = 0, 2*s - n = 4*p - 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-9)\/((-6)\/(-4)*-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.040123 microseconds in hours?\nAnswer: 0.0000000072333675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q*(q*q\/((q*q**(3\/5))\/q))\/q)))\/q*q)**(-3\/7)*q\/q**24*q*q*q**(2\/31) assuming q is positive.\nAnswer: q**(-3338\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -4*f**3\/3 + 248. Let d(r) = -3*r**2 + 16*r + 4. Let w(k) = -k**2 + k + 1. Let a(s) = -d(s) + 4*w(s). What is l(a(o))?\nAnswer: -4*o**4 - 96*o**3 - 576*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**7*t\/t**(-7)*t)\/(t\/t**(-4)*t*t*t*t**(-7)) assuming t is positive.\nAnswer: t**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53 or 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**3\/11 + 35820*w**2\/11 - 49441654*w\/11 + 49405836\/11 = 0.\nAnswer: 1, 1506, 16403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-4 + sqrt(1331)*-1)**2 + sqrt(1331) + (0 + sqrt(1331))*-6 - (-1*sqrt(1331)*-4 + sqrt(1331) - (sqrt(1331) - (-1 + 1*sqrt(1331))))).\nAnswer: -22*sqrt(11) + 1350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (sqrt(2) + 2*sqrt(128) + sqrt(2))) + sqrt(2))*6 + 5.\nAnswer: -96*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 363740?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*a + 39*a = 36. Suppose -b = -a*b + 5814. Is 28 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 + 2*v - 6)*(3 - 3 - 3) + 1 + v - 1)*(-1 + 2 + 1)*(2 - 1 - 7).\nAnswer: 60*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m**2 - 329*m. Let w(t) = 527*t. Calculate z(w(d)).\nAnswer: -1388645*d**2 - 173383*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1759*v + 861123 = -145*v + 2402*v + 2985*v for v.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7425223?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10575 divided by 4\nAnswer: 10575\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -4. Put 0.4, c, -1 in ascending order.\nAnswer: c, -1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -17*f**2. Let d(h) = -h**2. Give 6*d(u) - 2*z(u).\nAnswer: 28*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30754 - -30758. Let h(d) be the third derivative of -343\/8*d**3 - 1\/160*d**6 + 2*d**2 + 0*d - 147\/32*d**u - 21\/80*d**5 + 7. Let h(t) = 0. What is t?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -143.9 + 150. Let k = 6.0926 - y. What is k rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14916)\/(-10296) + (-2)\/(-39). Which is the third biggest value? (a) 34 (b) -0.3 (c) v (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 11:02 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 36 = -4*b + 4*a, 3*b + 13 = -5*a. Determine r so that 5*r**b + 625 + 450*r**2 + 460*r + 566*r + 80*r**3 - 26*r = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 490622 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 13. Let y be h(-10). Suppose y*q + 2*t - 165 = -2*t, -3*t - 245 = -4*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-40))\/((-32)\/((-768)\/27))*-5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*t, r - 40 = -5*t + 7. Suppose -5*c + r = -13. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 498*r - 34*r = 2320. Which is the biggest value? (a) -0.2 (b) 145\/3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/1*15\/30. Find the first derivative of -3*d**2 + i*d**2 - 7*d**4 - d**2 + 5 wrt d.\nAnswer: -28*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 a when four letters picked without replacement from {u: 13, l: 3, a: 4}?\nAnswer: 1144\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.749857 to 3 decimal places.\nAnswer: -0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6561991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tyyjytyyyyyyyy. Give prob of picking 1 j and 1 t.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**3 + 3*c - 3*c + (-4*c - 3*c + 6*c)*(0*c**2 + 2*c**2 + 0*c**2).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 6:30 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 10. Suppose -3*l = -m - 0. Calculate the remainder when (4 - l) + 2 + 0 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2164794 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q - 149 = -500. What is the smallest common multiple of q and 117?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 9 - 3 = 0. Let i(v) = -4*v**2 - 2*v - 1. Let u(c) = -11*c**2 - 4*c - 2. Let j(m) = -8*i(m) + 3*u(m). Give j(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 721.348 micrometers?\nAnswer: 721348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(1755\/78))\/(2\/(-252)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11117 (b) -1\/2 (c) 329\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*o + 2*d + 27, 5 = -5*d. Let u be ((-1688)\/35870)\/(14\/10 - 1). Sort -0.4, o, u, 0.4.\nAnswer: o, -0.4, u, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/23)*f*f*f*f**(-2\/23))\/((f*f*f**(6\/17))\/f*f*f*f\/(f**(-1\/9)*f)))**8 assuming f is positive.\nAnswer: f**(-14288\/3519)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 3*r**2 + r - 1. Let l be y(3). Suppose -w = -47 - l. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 at most -8.83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, 10, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -75*m**3 + 515*m**2 - 940*m + 420 = 0. Calculate m.\nAnswer: 2\/3, 2, 21\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1005003 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 186, 187, 188, 189, 190?\n\"Answer: x + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 11:49 AM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/11)\/((-7)\/7)*-19?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1746*x + 5*o - 15 = -1751*x, -2*o = -x - 9 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 1436.7377 and 19.\nAnswer: 1455.7377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 d when three letters picked without replacement from ttdetaykaddaee?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfe when three letters picked without replacement from {e: 4, f: 1, n: 1, a: 1, c: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 90661392 to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 + (80 - 10) + -2 and 55?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -1\/2, 0.054706, -9?\nAnswer: 0.054706","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 119284 and 87516?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.02 + -5.02. Suppose 2*v + 0 = 5*l - 97, -3*l + 2*v + 59 = 0. Suppose -l*o = -20*o. Which is the nearest to o? (a) i (b) 0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7504 and 670?\nAnswer: 37520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25021 - -25018.9949. Round i to two dps.\nAnswer: -2.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 18 = 3*g, -4*d - d = -10. Let n = -12 - -12.2. Which is the second smallest value? (a) n (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 27 = -2*m, 4*m + 1243 - 1239 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.064 - -21.064. Let p = x + -22. Let w = -27 - -23. What is the nearest to p in w, 8, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3819149208 by 3.\nAnswer: 1273049736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -62*i**3 + 5*i**2 - 7*i - 11. Let u(q) = 31*q**3 - 3*q**2 + 4*q + 6. Let p(b) = -6*o(b) - 11*u(b). What is the third derivative of p(d) wrt d?\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 2*g - 4*u - 6, 0 = u + 3. Suppose -4*l = -g - 21. Suppose -a = -l*a + 5*i + 5, -2*a = -5*i - 2. Solve 4*v = -0*v + 12, -v = -2*w + a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-5) - (-38)\/(-95). Let d = -0.11 + 0.01. Which is greater: l or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-160)\/24*972\/81.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*p - 35. Suppose 0 - p = -o. What is the remainder when 13 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rfl when three letters picked without replacement from prppprfppllpwr?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.869 + 6.408. What is q rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 357 = 241. Let h be (-11)\/11 - m\/1. Suppose 12 = 3*p + 150. Are p and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 5426206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*f = -28*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 0 + 2 - (-110 - -114).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1173142?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 678 and 101448123?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23236 and 136075825.\nAnswer: 5809","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29512 - 29500. Solve p*f + 3*b = 15*f, -4*f - b = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a = 3598 - 1294. Solve 62*y = 46*y - a for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 7:42 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67 + -67.2. Which is greater: -5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 1951 + 531 = 0. Is r a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18089\/5 < 3617?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 - 5. Suppose -3*h + 0*h = -5*k - 48, y = h - 5*k. Let u = h + -16. Let z(l) = l + 4. Let m(r) = 3*r + 9. Calculate u*z(n) + 2*m(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4380445 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18841875 by -4875.\nAnswer: -3865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003246316 rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 17*x**2 + 2*x - 3. Let b be h(17). Let l = -30 + b. Let v = 30 - l. Is v a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86005 by 117.\nAnswer: 86005\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (35\/(-105))\/((-20)\/24 + 1). Sort c, 5, -74 in decreasing order.\nAnswer: 5, c, -74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-24) - (-171)\/2. Suppose 5*a + 20 = -l. What is the units digit of (456\/(-2))\/(a\/14*1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50c (base 13) to base 12.\nAnswer: 5b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 6*r + 5. Let l be q(-5). Suppose 5*s = -l + 10. Solve 3*v + s = -4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 + 77*t**3 - t**3)*(-10*t + 8*t**2 + 10*t - 2*t + 2*t**2 + 2*t + (-2*t + 3*t + 0*t)*(-2*t + 3*t - 2*t) + 0*t + 0*t - 3*t**2).\nAnswer: 438*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50717271782665141\/89221972 - 251818316295\/443. Let s = 4\/50351 + p. Let d = 647 - s. Calculate the common denominator of d and 77\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37696 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*r - 3*z + 16 = -164*r, 1 = -3*r + 5*z for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3b96 + -1652?\nAnswer: -5518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1831346*n**3 + 34*n - 2220 wrt n?\nAnswer: -10988076*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1663*u = x + 1668*u - 9, -3*x - 7*x + 5*u = -5*x - 15 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/1)\/(14\/(56\/6)*-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61953.\nAnswer: 3, 107, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 150 + -62. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1553, 3130, 4707?\n\"Answer: 1577*l - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*z - 9, -3*i + 2 = -5*z - 4. Let c(s) = -5*s**3 - 4*s**2 - s + 4. What is the remainder when c(i) is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59 - 70 - 196\/(-18)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 3)*(-3*r**3 - r**3 + 5*r**3) + (-5*r**3 + 0*r**3 + 3*r**3)*(1 - 3 + 0) to y*r**2 + m*r**3 + n*r + t and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t - 5. Calculate the lowest common multiple of 5\/1*12\/5 and b(-13).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -312327.41 + 2.\nAnswer: -312325.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1104931, 2209877, 3314823, 4419769, 5524715, 6629661?\n\"Answer: 1104946*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vfvfvfvvvvvfvvfv. Give prob of picking 3 v.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29434, 29621, 29814, 30019, 30242, 30489, 30766, 31079?\nAnswer: 31434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24.18 - 24. Let t be 6 - (7 + 73)\/8. What is the second smallest value in w, -3, t, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 147 + -101. What is the smallest common multiple of 8 and a?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 450 and 22650?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + 3 + (24767388\/(-1311))\/(-4). Let v = m - 4721. Is 1 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*2\/((-6)\/(-33)). Let n = -87735 - -87792. Is h smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 19, 1, 0 in increasing order.\nAnswer: 0, 1, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 53*q + 221. What is the smallest common multiple of x(-4) and 147?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3121727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000011432385 to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21\/32 + 115\/32. Let h = n + -55\/12. What is the nearest to h in 1, -3\/2, -5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 93 + -57. What is the highest common divisor of c and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 11. Let w be g(0). Let o = 21 - w. What is the highest common factor of o and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.61 (b) 23 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 114204012 + -2?\nAnswer: 114204010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 694874559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11370*i**2 + 9748*i**2 + 10402*i**2.\nAnswer: 31520*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6*c**2. Let r(n) be the third derivative of n**5\/60 - 6*n**2. What is i(r(t))?\nAnswer: -6*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57779179?\nAnswer: 787, 73417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 584 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 206071848*w**5 - 42*w**2 - 276649*w + 4.\nAnswer: 12364310880*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a milligram in micrograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**2 - 15*b - 5. Let y be k(-5). Let g be 1 - -1 - (-2 + 4). Sort 3, g, y.\nAnswer: y, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u = -11*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 103 + -55. Suppose -l = -5*v - v. Does 9 divide 7\/(364\/v) - 466\/(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 430232530 - -0.1\nAnswer: 430232530.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*r, 3*r - 4 + 0 = -2*g. Sort 1\/6, r, 0.1, -0.2 in decreasing order.\nAnswer: r, 1\/6, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 6:41 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2. Let o(h) = 3*h**2. Let j(v) = -6*k(v) + 2*o(v). Suppose -4 + 2 = -i. Let z(d) = i*d + 1 - 1. Give z(j(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1207 and 7072381?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -1541116435?\nAnswer: -1541116434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 3:04 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182014 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063551 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -64 and -63 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -75, -176, 2 in decreasing order.\nAnswer: 2, 0, -75, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a factor of 18532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 8*d**2 + 2728*d + 35615. Calculate r(-13).\nAnswer: -694","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -4 + (26 - 19).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u - 50. Let v be o(30). Let d = v + -92. Let t(x) = -x**3 + 12*x**2 - 9*x - 19. Let l be t(11). Solve l*b - d*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**6\/90 - x**5\/9 + 2*x**4\/9 + 3*x**2 + 41*x. Factor l(q).\nAnswer: 4*q*(q - 4)*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - -27. Let u = -29 + 41. What is the highest common divisor of u and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 94533 and 90?\nAnswer: 2835990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 3*f + 4*j, 5*j + 77 - 91 = -3*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93347448?\nAnswer: 2, 3, 31, 37, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a8 - 8675?\nAnswer: -873d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-162)*2*9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 23 = -4*d - 8, 0 = 2*d - 3*p - 3. Does 10 divide 58\/(1 - d)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -6*s. Let t(k) = -27*k**2. Calculate m(t(q)).\nAnswer: 162*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 6\/13, 0.4, 5?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 19*l + 33 - 83 + 50. Let n(o) = -34*o**2. Calculate h(n(x)).\nAnswer: -646*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-98)\/161*((-5246)\/(-427))\/86.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 5*v**4\/72 - 55*v**3\/36 - 5*v**2 + 3*v + 23. Let w(f) = 0. What is f?\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39895303139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 100000 (base 3) to base 5\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 434800 and 4270823?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17622 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(3*sqrt(640)).\nAnswer: sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**4\/7 + 1824*b**3\/7 - 5496*b**2\/7 + 5504*b\/7 - 1836\/7.\nAnswer: 4*(b - 1)**3*(b + 459)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -20278 + 68285. Let d = 29224 - 7231. Let r = d - y. Round r to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1620, -4 in descending order.\nAnswer: 1620, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-495)\/(-60) - 1\/4. Solve 0 = -4*m + 2*a - d, -a = -2*a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2373 != -7123\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 56 + 3314 = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**2 + 0*v**2 + 5*v**2 + (-21 + 49 - 24)*(v**2 + 3*v - 3*v) - 2*v**2 - 2*v**2 + 2*v**2 to the form i + u*v + r*v**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (12 - ((0 - (-17 + 8)) + 21)) + 10\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -10. Suppose 2*r = t + q, -5*r + 4*t = 8 - 27. Let p be 90\/(-35) - 8\/(-14). What is the third biggest value in p, r, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 7*z**2 - 15*z - 19. Calculate the remainder when j(-8) is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sqaqaaaqaqasaa. What is prob of sequence sqqq?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13 + -9c?\nAnswer: -b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/729740 and 83\/68266.\nAnswer: 21162460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 - 1 - ((-5 - -20) + -33)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -6.1. Let t = i - -1.10000038. What is t rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 308 and 32.\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 9. Let a = 26 + -17. What is the tens digit of t(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -114 + 227. Suppose -5*h - 5*j = -335, 2*h - 37 = 2*j + z. Let a = 203 - h. What are the prime factors of a?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -85 + 145. Let y = 26 + -14. What is the greatest common factor of y and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -169714 divided by 2\nAnswer: -84857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-35)\/(-45)*(-3552)\/259*(-4)\/4.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**4 + 352*j**2 - 3056*j + 212256 wrt j.\nAnswer: 4*j**3 + 704*j - 3056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*((-9)\/6 + -4). Let s(d) = 3*d**2 - 24*d - 20. Is s(n) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -62 and 0.1077.\nAnswer: -6.6774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - -14. Calculate the remainder when u is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffwwfwwwfwxffvwof. What is prob of picking 1 w and 1 x?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-4) - (-36)\/8. Suppose -3*c + 2 = -j - a*c, -2*c = 4. Let t(n) = n**2 + j*n + 0*n**2 - 4*n. Calculate t(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -6*s**2 - 2*s - 3. Let o be a(-3). Let d be (o\/18 - -3)*-5654. Let w = d + 56483\/60. Find the common denominator of w and 29\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**2 + 15419211*j - 15419211*j.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*c - 13*c - 30 = 0. Calculate the greatest common divisor of 96 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**2 - 672*b - 12. Let j(f) = -f**2 - f - 2. What is 6*j(y) - u(y)?\nAnswer: -3*y**2 + 666*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 8756?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -5917*m**4\/12 - 948*m**2 - 2186*m. Differentiate a(x) with respect to x.\nAnswer: -11834*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 299*5.\nAnswer: 1495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 2707, -86 in decreasing order.\nAnswer: 2707, 3, -3, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -232, -207, -182, -157, -132?\n\"Answer: 25*t - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y + 4*m + 6 = 0, 8 = 2*y - 2*m. Let q(p) = 3 - 1 - 2*p + 3 + p**2. Calculate the remainder when 17 is divided by q(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 - 11. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/((g\/(g\/g**4))\/g)*g**(15\/4) assuming g is positive.\nAnswer: g**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/(-5) - 2\/(-5). Let f(s) = -24*s**2 - 25*s - 34. Let v(r) = 13*r**2 + 13*r + 18. Let x(l) = -6*f(l) - 11*v(l). Determine x(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - o + 38 = 0, -36 = -5*f + 2*f + 3*o. Let i = 64 + -33. Suppose 0 = 3*l - i + f. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 12, -4*f - 19 = -15*n + 16*n. Let p = -7.078 - -0.078. Let t = 0.5 + -0.3. What is the biggest value in f, 2, t, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1641457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19715 + 10389799\/527. Let g = s + 4\/31. What is the closest to -1 in g, -1\/6, 4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/6 - (-1)\/(-3). Suppose 0 - 2 = -p*c. Suppose 4 = y + c. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20\/5091 + 10576\/2116159. Calculate the common denominator of l and -23\/473.\nAnswer: 41151","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 20*l + 2875. Let s(q) = -14*q - 1918. What is -5*k(w) - 7*s(w)?\nAnswer: -2*w - 949","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 8\/111?\nAnswer: 8\/111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1892 divided by -1321?\nAnswer: -1892\/1321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + -5 + 1 + (-7)\/7. Is 14\/(s + (-552)\/(-136)) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -15, -9, -7, -9, -15, -25?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a kilogram in grams?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*f = 2*f + 7, 3*f = v - 25. Suppose -4*d + 1 = -4*k - 3, 5*k = 3*d - v. Which is the nearest to 2? (a) k (b) -2\/3 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -7, -4, 0, 50 in descending order.\nAnswer: 50, 4, 0, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times 0.14\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 7:30 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h - 1. Let b(s) be the third derivative of 0*s - 2\/3*s**3 + 1 - 7*s**2 - 1\/12*s**4. What is b(t) - 4*q(t)?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y - 17. Let z(m) = -m + 6. Determine 4*n(g) + 11*z(g).\nAnswer: -3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + (-2234)\/2343 - 4. Let w = 1\/71 + p. Which is the nearest to 0.1? (a) w (b) 0.4 (c) 3\/7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1190320.9 to the nearest 1000.\nAnswer: -1190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 5*c + 2. Let i(h) = -10131*h**2 + 58*h - 24. Give i(j) + 12*y(j).\nAnswer: -10119*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/50 of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -79 + 78.911. Let m = i - 0.191. Is m < 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**(-4\/7)))\/u)\/u**(-2\/17)*u\/((u*u**(-4\/13))\/u)*u**3\/u assuming u is positive.\nAnswer: u**(2868\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 2*w + 6. Let r be k(3). Let l(c) = c**2 - 3*c + 2. Let o be l(r). Solve 0 = g + 1, v + 1 = -o*g for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**4\/12 + 2*t**3\/3 + t**2. Let i = 9 - 4. Calculate n(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*(-12)\/(-20)*(-61)\/(2196\/(-120)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(240) - sqrt(15))\/(3*-3*sqrt(5)) - (sqrt(264)\/(sqrt(11) - sqrt(539)) + sqrt(24))\/(sqrt(32)\/(sqrt(16)\/sqrt(4))))**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -46, 7, -1 in ascending order.\nAnswer: -46, -5, -1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1281f - 2?\nAnswer: 1281d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 7*s**2 - 6*s + 5. Let q be d(-6). Suppose -8 - 7 = q*l. Let c(t) = -27*t - 2. Is c(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6\/5, 0.5, 120.7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express f + 4*f**3 + f**3 - 3*f**3 + 12*f + 16*f**4 + f in the form a*f**2 + b*f + w*f**3 + c + x*f**4 and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 3 + 44 = 5*k, 10 = k + 2*o for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 142992 and 812274?\nAnswer: 1986","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1.3. Let y = 0.2 - d. Let g = -0.5 - y. Which is the smallest value? (a) g (b) 4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 7 - 5 = -3*r, -5 = -4*r - u. Solve r*o - 33 = -25 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 8*u = 3*w - 10, 5*u - 10 = 3*w. Let p(g) = -2 + 2 + g**3 - 17*g + 7*g + u + 4*g**2 + 14*g. What is p(-4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -49*p**2 + 114798*p - 38850853 wrt p?\nAnswer: -98*p + 114798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 11:18 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18922100 to the power of 1\/3, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 565 divide 25120465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -l**3 + 28655*l**2 - 3*l - 89632?\nAnswer: -3*l**2 + 57310*l - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11a (base 14) to base 13.\nAnswer: 13c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**3 - 493*u**2 + 12622*u - 245. Calculate l(29).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r = -5*p + 18*r - 33, 0 = p - 2*r + 9 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 1\/39, 1, 0.1?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 88367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(168) - sqrt(168)*-1) + sqrt(168))*5 + sqrt(168)*2*-1)\/((sqrt(54)*4)\/sqrt(9)*1).\nAnswer: -39*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 225\/135*(-918)\/850.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -91 - -130. Suppose 0 = -5*w + 2*o + c, -7*w = -2*w - 3*o - 41. Solve -2*t + w*t = -25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001743 rounded to 5 decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30.7 - -32.72. Let s = j + 2.98. Put s, -9, 2 in decreasing order.\nAnswer: s, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -4, -21, -56, -115?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 + 26*a**2 + 4*a - 528.\nAnswer: -2*(a - 11)*(a - 6)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32485*o + 13468*o + 856*o - 7565*o + 9058*o.\nAnswer: 48302*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5208, -21437, -48492, -86379, -135104?\n\"Answer: -z**3 - 5407*z**2 - z + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 6*r + 16. Suppose 4*t + 8 = -g, -2*g + t + 0*t = -20. Let b be v(g). Differentiate -10*i**2 + 5 + 0*i + b*i wrt i.\nAnswer: -20*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.16235 + 15.266. Round u to 3 decimal places.\nAnswer: 0.104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -4*l**2. Let w(i) be the second derivative of -i**4\/4 - 3*i**2 + 2*i + 152. What is s(w(h))?\nAnswer: -36*h**4 - 144*h**2 - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 9) in base 11?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*d - 64 = 48 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.972633 plus 127?\nAnswer: 129.972633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -r**3\/6 + r**2\/2 - 36*r - 1. Let s(j) = -2*j**2 + j - 1. What is 3*h(n) + 3*s(n)?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - ((-658)\/70 + 11). What is the closest to 2 in r, 105, 0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 304 and 15768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -191\/10501560 and -149\/72.\nAnswer: 10501560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*(-9)\/(3105\/4))\/(2\/(-3))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -420*m - 80 = -436*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i - 11. What is f(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -822 + 0*l**2 + 815 - 3*l**2 + 3*l + 9*l**2 - l**3. What is d(3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - ((sqrt(209) - (sqrt(209) - (sqrt(209) + -5*sqrt(209)*-3))) + sqrt(209)))\/(sqrt(22)\/(sqrt(10)\/sqrt(5))).\nAnswer: -16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 1 - 2 + t + 4 + 0. Let w(f) = 0*f - f + 2*f + 5. Determine -5*r(l) + 3*w(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13541, 13556, 13587, 13640, 13721?\n\"Answer: z**3 + 2*z**2 + 2*z + 13536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 4*w**2 - 7*w + 5. Let l be v(5). Put -12, 2, 3, l in descending order.\nAnswer: 3, 2, l, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 8*v + 104300000 = 0. Round v to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*z + 30 = 110, -20 = -c - 2*z. Suppose b - c = -2*r, -6 = -3*b + 5*r + 21. Solve -5*a = -4*a - 3*y + b, -a - 4*y + 21 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*s + 149, -s = 5*f + 31 + 19. Which is the nearest to 1\/2? (a) s (b) 2\/3 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**6\/1620 + w**5\/108 + w**4\/27 + 61*w**3\/2 + 107*w**2. Let g(t) be the first derivative of q(t). Factor g(i).\nAnswer: 2*(i + 1)*(i + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {k: 3, q: 7}?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + f - 5 = 8, -24 = -4*z - 4*f. Suppose -15 = 4*h - z*h. Solve h = 3*c - 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5 = -5*p, u + 0*u = -p - 1. Let t(h) be the first derivative of -1\/3*h**3 - 2 - 1\/2*h**2 + 13*h. What is t(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + c - 10278 = 0, h = -2*h - c + 6168. Suppose g - 1644 = 4*w, 3*w - 3*g = -2*w - h. Let f = w + 1370. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 185, 727, 1625, 2879?\nAnswer: 4489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5034 (base 6) to base 15\nAnswer: -4d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -h - 2*h, 3*h = 5*t - 47. Suppose 2*o + 2*s - 34 = 5*s, 0 = 5*o + 5*s - 110. Calculate the greatest common divisor of o and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of h**5\/15 - h**4\/3 + 8*h**2\/3 - 16*h\/3 - 2. Solve g(v) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/153 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 6*m - 10. Suppose -5*x + 80 = 5*x. Let z be i(x). Solve -4*u - 2*h = -26, -2*h + z = -4*u + 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x + 4*x + 10 - 2 + 3*x. Let p be r(7). Suppose -3*k - 9 = 2*g - p, -2*g + 6 = -4*k. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7073215010 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 j when three letters picked without replacement from {e: 5, x: 2, j: 2, k: 4, u: 1, a: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1532.2522 to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 6:43 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 8:17 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*l + 63. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110000101111000010 - 100001?\nAnswer: -1110000101111100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1236 divided by 17.\nAnswer: 1236\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -981036 by 109004.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 q, and 1 f when three letters picked without replacement from rcxxxxqf?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 258547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 4*y - 4, y - 3*y + 8 = 0. Suppose o = 2*d - 1 - 4, 4*o - k = 0. Solve 12 = -d*j + j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 27 = -4*r, 21 = q + 3*r - r. What are the prime factors of -2 + -1 - (12 - q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g - 20*g - 2*q - 6 = 0, g = -3*q + 7. Solve g*v = 5*l - 24, -2*v = 2*v + 2*l - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 + -22. Let b = 18.00056 - l. Round b to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 4. Give o(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 12:07 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -4. Suppose v*y - 2 = -14. Which is bigger: -5\/3 or y?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/((-16)\/1917))\/((-21)\/(-56)). What is the thousands digit of 6\/((-48)\/(-40)) - j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.8 + -8.7. Let r = i - -5. Which is the second smallest value? (a) 4 (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2031103260 to the nearest integer?\nAnswer: 1266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 372\/27 - 4\/(-18). Calculate the highest common factor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -133?\nAnswer: -3\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 42\/11 and -7\/55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14544)\/(-106353)*63\/(-28)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccccccc. Give prob of picking 3 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1201090 to the nearest 10000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -553? (a) 1\/3 (b) 1\/11 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -7\/60*x**5 + 0*x**3 + 0*x**4 - 13*x**2 + 0*x + 0. Let f(u) = 3*u**2. What is o(f(b))?\nAnswer: -63*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28347 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -234132?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.07, 4, 0.7, -6?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -77, -137, -211, -293, -377, -457, -527?\nAnswer: -581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/3 + -537 + -1)*-3. Suppose -j - 403 = -2*k. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, h: 1, r: 2, q: 2, n: 1}. What is prob of sequence rvn?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 10*x - 11*x - 48*x - 37*x.\nAnswer: -104*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -8*d + 18 + 126, 4*d - 3*c - 104 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gnbngbnbnnynibsbgnni. Give prob of picking 1 b, 1 n, 1 y, and 1 s.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 57, -11120\/11, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/12 and 121\/260.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v - 3*v - 1254*v**2 + 1857*v**2 - 607*v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1386*z + 1396*z - 120. Calculate the highest common factor of 57 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2422 and 47402?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5458 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 224806735 and -6?\nAnswer: 224806741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = -9*s - 3. Suppose 4*d + 14 = 5*k - 1, -2*k + s = -d. Let q be 5\/1 + k + 0. What is the highest common factor of 16 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 95 - 57. Suppose 0*n - z = -n. What is the remainder when n is divided by (-4 + 5)*(-20)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2119.7785 to the nearest 10.\nAnswer: -2120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 10:40 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 times -411?\nAnswer: -328.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1215614, -2431230, -3646846, -4862462, -6078078, -7293694?\nAnswer: -8509310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 34\/(-119) + (-4)\/(-14)*-6. Let s(q) = q**3 + 5*q**2 + 5*q + 1. Give s(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 2*k - 10. Let s be k - -2 - (1 + 1). Suppose 5*h - h - 36 = -s*n, 0 = -3*h + 12. Do 4 and n have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 13\/8 of a second?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cs when two letters picked without replacement from ccciiicccsiscccsisc?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 13008, -4 in descending order.\nAnswer: 13008, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 65364, 67213, 69062, 70911, 72760, 74609?\n\"Answer: 1849*q + 63515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 0, -1, 15, 12 in decreasing order.\nAnswer: 15, 12, 0, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/5 - 653204*t\/5 - 261280.\nAnswer: -2*(t + 2)*(t + 326600)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 13028*r + 117256. Give q(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0 = 9. Let v be (h\/(-9))\/((-1)\/(-6)). Suppose q + v*q = 36. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26.9 + 13.3. Let g = l - -68.6. Let d = 55.00053 - g. Round d to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3731374mg in nanograms?\nAnswer: 373137.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1024 (b) 1 (c) 258\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29.5999981 + -29.6. What is l rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -102.462 - 0.038. Let h = 1000 - 898. Let t = q + h. Which is the nearest to 0? (a) -3 (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1800*t - 28 = -1786*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -567 less than or equal to -358?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(171)*6 + (1*sqrt(171) + sqrt(171))*3)\/((2*sqrt(900))\/(sqrt(16)\/sqrt(4)*1)).\nAnswer: -3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 511 (b) -4 (c) 3 (d) 0.9 (e) 27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = q + 7*v + 142, -5*q - 190 = 12*v for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 12:18 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5790)\/(-35))\/6 - (-8)\/(-14). Solve 20*j - 107 = -b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - -33) + -39 + 35 - 75?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 115, 242, 367, 490, 611, 730, 847?\n\"Answer: -z**2 + 130*z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1174 - 1174 + 26*p**2.\nAnswer: 26*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -300 + 289 - (436\/28 + 21\/49).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 34*y - 511. Calculate n(15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v + 10. Suppose -4*b + 25 = 2*h - b, -h + 3*b = 1. What is the smallest common multiple of 8 and j(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 616\/(-2079)*2484\/16?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*n = -470 + 543 + 917 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1201221210221 (base 3) to base 11\nAnswer: -581434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8345747 to the nearest integer?\nAnswer: 2889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18301*l - 54962*l + 18343*l - 4*l**3 + 18305*l.\nAnswer: -4*l**3 - 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1\/13, -3, -2 in increasing order.\nAnswer: -3, -2, -1\/13, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00055463848 to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12312 and 1701?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/6)\/(2\/(-30)). Let p = 5 - 4. Let i(d) = 4*d - 6*d + 2 - 7 - p. Give i(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 184, 641, 1460, 2635, 4160, 6029?\n\"Answer: -m**3 + 187*m**2 - 97*m + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-50)*12\/(-12)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*(-224)\/(-84) - -88.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -15 (b) -4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*j - 5*j, 0 = 2*j - 2*x + 16. What is the tens digit of (-1)\/(j\/(-10) - 636\/1540)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123959, 124022, 124125, 124268, 124451?\nAnswer: 124674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1516 + 26371.95687?\nAnswer: 24855.95687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -460, -4, 10, -18, 1, -3 in descending order.\nAnswer: 10, 1, -3, -4, -18, -460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 323334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((2*sqrt(1584) - sqrt(1584))**2 + -5 - (sqrt(1584) - (-2*sqrt(1584))**2)*2).\nAnswer: -72*sqrt(11) + 42753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 369 + 1134 = 3*n + 2*s, 0 = 4*s - 12. Which is greater: 498 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/7 (b) -4 (c) -64.3 (d) -2\/5 (e) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-6)*(-3222)\/895.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 11 - 7 - (3 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 equal to 2213\/3003?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 440 + -443.4164. What is j rounded to one dp?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(88)*2*5)\/(sqrt(200)*1) - (-5*sqrt(99)\/sqrt(3))\/(sqrt(3) + sqrt(24)\/(sqrt(8)*-2))).\nAnswer: -60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107427685?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-88)\/14)\/((-30132)\/580041)\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-6 + 4 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**3 - 4*t + 0*t**3 + t.\nAnswer: 7*t**3 - 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1557, -2571, -9467, -19137, -31587, -46823, -64851?\nAnswer: -85677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + x = 45, 45*x - 35 = 3*v + 41*x for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.982 rounded to 0 decimal places?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -5.987 equal to -135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -4*d + b, -13 = 2*d - 5*b - 48. Let a = -59 + 87. What is the remainder when a is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2877339?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-398)\/199*1\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58 + -56. Suppose c = v, 2*l - 8 = 4*c - c. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1862283?\nAnswer: 3, 151, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, 70, 1, 0.01, -1\/2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/2771?\nAnswer: -2\/2771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, -1\/4, 153\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1136 divide 34911284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 > 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-160)*-12*(-2)\/(-6)*8\/12.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 19. Let r = -44 + 47. Find the first derivative of -7*q**2 + r - j*q**2 + 14 wrt q.\nAnswer: -22*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92 - 81. Suppose -3*r + 7*r + 120 = 0. Let g = r + 51. What is the remainder when g is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -3*s**5\/140 + 9*s**4\/4 - 228*s**3\/7 + 1320*s**2\/7 - 250*s - 2. Factor z(y).\nAnswer: -3*(y - 55)*(y - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b. Let a(h) = h**3 + 2. Let q be a(-2). Let m(k) = -k**2 + 3*k - 1. Let z(r) = q*g(r) + m(r). What is z(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1281 + 200 + 57 - 929 + 10*u.\nAnswer: 10*u - 1953","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2007\/21 - (-8)\/(-14). Suppose -2*s = -7*s - w. Let x = s - -175. 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: In base 13, what is -1c0 - -44?\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12888 at most 1961?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -27596, -27645, -27694?\n\"Answer: -49*n - 27547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-4*(((sqrt(1300) - 4*(1 + sqrt(1300))**2) + sqrt(1300))*-6 + (sqrt(1300) - (-2*sqrt(1300) + 3)) + -5).\nAnswer: 3120*sqrt(13) + 249728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 6*i + 4. Let d be s(6). Suppose 1 = d*r - 3. What is the units digit of (0 - r)\/((-2)\/14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16601875 and 292900.\nAnswer: 2525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 65303.18l in millilitres?\nAnswer: 65303180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13133 (base 4) to base 12.\nAnswer: 33b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*k + 1128 = 159*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**2 - 47*g**3 - 18*g**3 + 63*g**3.\nAnswer: -2*g**3 - 8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -616, -817, -1150, -1621, -2236, -3001, -3922, -5005?\nAnswer: -6256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15.31703 from -0.03.\nAnswer: -15.34703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (22 + -43 + 22)) + -6 + -3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 8:54 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.099? (a) -0.1 (b) 5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/216*6)\/(2\/8)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 2 - 34)*5088\/(-742). Suppose -5*f = -4*k - 158, 2*f - k - 64 = k. What is the highest common divisor of f and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*b**2 + 40*b**2 + 73*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1165, 2308, 3451, 4594, 5737, 6880?\nAnswer: 8023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 0, 4*f - 16 = -34*b + 36*b for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 45 = 5*v, 2*n + 0*v - 21 = -v. Calculate the greatest common factor of 15 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 6 + (-6 - -3) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46051 + -36628. Calculate the highest common factor of 54 and f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h - 7. Let r(u) = 10*u + 360. Let z(a) = -a - 32. Let l(v) = 4*r(v) + 45*z(v). Calculate m(l(b)).\nAnswer: -20*b - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 3:51 PM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 8:12 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 2, 7, -5, 10 in ascending order.\nAnswer: -11, -5, 2, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1520629 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*f + 4*f - 6*f + 1 + (-2 - 2 - 2)*(-3*f - f + 5*f))*(0*f - f - 3*f).\nAnswer: -28*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101110010 + 11100000?\nAnswer: 101001010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 440 + 786. What are the prime factors of f?\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uemmabv. Give prob of sequence uv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 4*n**2 + 78*n + 3. Let c be w(7). Suppose -c*o + 8091 = 19*o. What are the prime factors of o?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28418 + 72167 + 2808 = -2901*o - 21350 for o.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - -5) + (1 - -2). Suppose -4*k + 1161 = m*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 0*o - 4\/5*o**3 - 17 + 9\/5*o**2 + 1\/10*o**4. Factor m(p).\nAnswer: 2*p*(p - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 748473839 divided by 4.\nAnswer: 748473839\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -392*h**6 - 2023*h**4 - 2081052*h**2?\nAnswer: -47040*h**3 - 48552*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2688*i*w**3 + 3*i*w + 3*i + 130*w wrt w.\nAnswer: 16128*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27342*a**2 + 2 - 13683*a**2 - 13676*a**2 - 2.\nAnswer: -17*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.5314495 to one decimal place.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10038*h**2 - 10844*h wrt h.\nAnswer: 20076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*q - 4*q**2 - q**3 + q**4 + 2 + 4*q + 4*q**3 - 4*q**3 to o + s*q**3 + i*q + c*q**2 + t*q**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - 26) + (-36 + 13 + 6 - -8).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i + 14*i + 9 = -4*z, -4*i - z = -36. Solve 0 = -4*h + 12*a - i*a - 9, -5*h = -a + 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 8*i - 4. Let y be r(2). Suppose z + y = 4*z. Which is the closest to -0.1? (a) 5 (b) z (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17829?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -6*g + 50. Let c(p) = -2*p + 17. Let b(t) = -17*c(t) + 6*v(t). What is the tens digit of b(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 57\/1409?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5 - 219\/(-45) - 8701399\/(-255).\nAnswer: 34123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - 13. Let n = f - -43. Suppose -73 = -n*v + 33. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 661*i = -4614 + 15629 + 10798 for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 258 + -310. Round c to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(-44)*4*2*1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 178975 - 179186.8896. Let a = 212 + v. What is a rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 + 0 + (-6 - -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0. Suppose 2*r - 4*r + 4 = 0. Suppose 20 = r*l + 4*t, l - t + 5 = -0*l. Which is the second biggest value? (a) l (b) -0.3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1228*o - 21*o - 22398 = 18640 for o.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 4. Suppose -z*y - 6*d = -d - 25, 4*y = -2*d + 22. Calculate the highest common divisor of y and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 232 divide 5800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.04 (b) 5 (c) -5 (d) -8 (e) 27 (f) 178.5 (g) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 x when two letters picked without replacement from xxxjxjxxjxxxxxjjjx?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 58, -0.5, -5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 8*r**2. Let k be u(8). Let z = k - -19. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + n**2 + 15 + 2*n**3 - n**4 + 2*n**4 to f*n**3 + g*n**4 + i + k*n**2 + j*n and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 4*z**2 - 18*z + 4. Calculate j(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3182 + -3180. Suppose -4*s + 3*s + 3 = 0. Solve 3*x + 21 = -s*y, c = -x - x + y for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12642857 - 12642857 + 7*w.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/((-2)\/(-2))*-1. Let h = 98 + -197. Let k = -98.9 - h. What is the nearest to o in k, 4, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**2. Let j(d) = -464*d**2. What is j(l(y))?\nAnswer: -4176*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (35\/30)\/(11\/(-66)). Let v(i) = 6*i + 141. What is the least common multiple of 117 and v(j)?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-6))\/((-6)\/(-1836)). Let g = s + 154. Sort g, 4, 5, 0.\nAnswer: 0, g, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6864553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42664015 (base 8) to base 6.\nAnswer: -523452541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39983*a**2 - 119951*a - 6.\nAnswer: -(a + 3)*(39983*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -143827 times -1?\nAnswer: 143827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5784247.99655 + 5784088. Let k = s - -160. Round k to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -11*i + 196, -353*c + 348*c = -4*i + 83 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3750 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531597 is divided by 392.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(4\/((-16)\/3)). Let f be (3\/4)\/(0 - (-5)\/40). Let s = -1 - f. Put s, r, -1 in decreasing order.\nAnswer: -1, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -v**5\/30 + 31*v**4\/6 - 961*v**3\/3 - 148*v**2. Factor j(g).\nAnswer: -2*(g - 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/770*63)\/((-6)\/(-5))*44.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -442 + 718 - 631 - 4*q**2 to t*q + n*q**2 + p and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.294534 times 0.04?\nAnswer: -0.29178136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 54410251 to the power of 1\/3, to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(2\/3)*z*z*z*z*z**(-5)*z*(z**(-1\/5))**(-2\/13) assuming z is positive.\nAnswer: z**(331\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98 and 70903?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x - 130*x**3 - x**2 + 1 - x**2 + 128*x**3. Let n be b(-2). Suppose 4*z = -n*h - 2248 + 6233, -3*z + 2391 = 3*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 hundred thousands digit of 771575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -8032421\/7 at least -1147490?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10322 - 18?\nAnswer: 10309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -63.474419 in -0.4, 0.2, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of y**6 + 5328666*y**5 + 19616*y**2 - 186?\nAnswer: 120*y**3 + 319719960*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(352) + -3*sqrt(352) + sqrt(352))\/sqrt(8) - (sqrt(484)\/sqrt(176) - sqrt(44) - sqrt(44))).\nAnswer: -9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.055729824 rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-286)\/(-44))\/(9\/36). What is the greatest common divisor of b and 674?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-2\/5)*w)\/w**(1\/6)*w**6*w*w**(-2))**(-3\/35))**14 assuming w is positive.\nAnswer: w**(-193\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4426.071 years in centuries?\nAnswer: 44.26071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/4*5 - 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -4.1. Let u = 9 + j. Let v = 0.13 - -4.87. Put v, u, 3 in descending order.\nAnswer: v, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 - 1124524*s + 174397320.\nAnswer: -4*(s - 155)*(s + 281286)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -396.99 from 33176669.\nAnswer: 33177065.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 take away 283038276.09?\nAnswer: -283038277.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of k**3\/3 + 5*k**2\/2 - 8*k + 29. List the prime factors of p(4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 0.1, 1\/7, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71379\/20482 + (-98)\/(-6517)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/3)\/(18\/729). Find the common denominator of (-8)\/4 - (-42)\/y and (-10)\/(-2) + (-4)\/14.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - (1 + 8\/(-2)). Suppose k = -3*x + 112 + 647. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -4*n + 23 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2154 = 3*j, -j = 2*c - 6*c + 2150. What are the prime factors of c?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**3 - c**2 + 1. Let z be (-72)\/10 - -7 - 14\/5. Calculate o(z).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146446*m + 0*m**3 - 2*m**3 - 146446*m.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n - 6. Let c be a(5). Suppose -5*p - 4*v - 16 = 0, 0 = -2*p + p + 4*v - 8. Let w(t) = t. Let m be w(p). Put -5, m, c in ascending order.\nAnswer: -5, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 52, 162, 334, 568, 864, 1222, 1642?\n\"Answer: 31*r**2 + 17*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 145.2 + 148.8. What is the second smallest value in z, -2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1387417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1888421 is divided by 175?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**8\/672 + x**5\/30 - 7*x**4\/12 - 6*x. Let k(i) be the third derivative of d(i). Differentiate k(v) with respect to v.\nAnswer: 30*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -839*u = 989*u + 417*u + 6735 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-2 - 1)) + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -153224.6 plus 0?\nAnswer: -153224.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 5. Let a(k) = -k - 2. Let d(r) = r + 3. Let x(s) = -5*a(s) - 4*d(s). Let z be x(n). Solve z = o + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i**2 - 5338*i + 5486. Let q(c) = -2*c**2 + 1775*c - 1828. Let j(l) = 5*m(l) + 14*q(l). Find o, given that j(o) = 0.\nAnswer: 1, 919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2 - 13) + (-6926782)\/(-462372) and 97\/6.\nAnswer: 4362","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 10:20 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -605*c + 460*c + 870 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) + 1 + 3 + -2)**2 - 6*(-5 + (sqrt(684) - sqrt(684)*-4)))*2.\nAnswer: -312*sqrt(19) + 1436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1)**20*q**(-3)*q**(-2\/11)*q*q*q*(q\/q**0*q*q)**33\/(q\/(q\/(((q*q\/(q\/q**(-1)))\/q)\/q*q)))**26 assuming q is positive.\nAnswer: q**(1593\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10853 and 0.046?\nAnswer: 10853.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 34*w**2 + 59*w + 186. Let r = 69 - 63. Let p(y) = 8*y**2 + 15*y + 46. Let t(j) = r*d(j) - 26*p(j). Solve t(k) = 0.\nAnswer: -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8216, 16924, 25632, 34334, 43024, 51696?\n\"Answer: -j**3 + 6*j**2 + 8697*j - 486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 2019006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16398 + -5?\nAnswer: -163a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51116*z**3 - 9217*z**2 wrt z?\nAnswer: -306696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + -342.022\nAnswer: -342.222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24208495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 162 + -108. What is the remainder when v is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2576315, 2576317, 2576319, 2576321?\nAnswer: 2576323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 4*u + 25. Let p be d(8). Let r = 14 + p. Suppose -r*g + 986 = -5*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (65\/5)\/((-2)\/8). Let d = -31 - b. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4705*m**6 - 8082*m**2 wrt m.\nAnswer: 564600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (6\/(-3) - 19\/(-7)). Determine f so that 0 - 2\/7*f + r*f**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 676 - 663. What is the remainder when 63 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2363420 - 5?\nAnswer: -2363425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 7*o**2 + 2*o - 27. Let n(r) = r**2 + 3*r + 1. Let u(a) = 6*n(a) - x(a). What is the least common multiple of u(17) and (-1)\/(42\/(-40) + 1)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 10*u**2 - 30*u**2 + 1 in the form h*u + l + z*u**2 and give z.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -23*c**6\/30 + 10*c**3\/3 - 14*c**2 + 93. Let k(t) be the second derivative of g(t). Differentiate k(d) wrt d.\nAnswer: -276*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**4\/26 + 8*i**3\/39 + 4*i**2\/13 - 5. Factor d(n).\nAnswer: 2*n*(n + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 10 + 6 + -15 + 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 0*s + s)*((s - 3 + 3)*(0 - s + 0) + 2*s - 2*s - s**2).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 174 - 173 - 1\/((-15)\/(-17)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 247 by -19.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d. Let t(o) = 4605673*o. Determine v(t(l)).\nAnswer: 13817019*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16.5 + -30. Let a = f + 14. What is the nearest to -0.1 in 1\/3, a, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 74 and 8.033.\nAnswer: 594.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4008371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (41\/(7667\/102))\/((-4)\/(-11))*2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 d when three letters picked without replacement from dumdzmd?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -11*g**2 + 188*g + 1832. Calculate x(17).\nAnswer: 1849","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 1) + (-11 - (7 - 10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/765243 and -18\/595189.\nAnswer: 5356701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 7*r**2 - 3*r - 12. Let z be c(4). Let v be 669\/z - (-5)\/40. Calculate the greatest common factor of v and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-3)*(-165)\/10. Let m = w + -16. Let f(i) = -i**2 + 6*i + 3. Let x be f(m). Solve -x = 2*n + n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5 - 45 = 0. Let y(z) = 0*z + 2*z - 9*z - 1 + c*z. Determine y(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 2304233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 116325844 divided by -29\nAnswer: -4011236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 2*p + 2*w - 15, 4*p - 8 = -2*w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74934*r**3 + 801*r**3 - 2347*r**3.\nAnswer: 73388*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, 3, 21, 9, 0, 2, -5 in ascending order.\nAnswer: -54, -5, 0, 2, 3, 9, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-114)\/(-7) + ((-18)\/(-21))\/(-3). Let r(h) = h**2 + 6*h + 7. Let u be r(-6). Suppose -u*i + 5*i - f = 0. Is -9 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of i**4\/12 + 5*i**3\/6 + 18*i**2. Let z = -8 + 11. Let j = -3 - 1. Let a(r) = 3*r + 6. Give j*x(v) + z*a(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 18 = 2. What is the least common multiple of (-7)\/((-7)\/r) + 14 and (0 - 5)*12\/(-10)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(165)\/(sqrt(44)\/sqrt(4)))\/sqrt(3))**2.\nAnswer: -10*sqrt(5) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1622\/27 >= 59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w + 44. Let r be o(19). Let f(m) = 26 - m - 22 + 56 - r*m. What is the tens digit of f(-17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (29*q + 2*q + 9*q)*(-679 - 2*q + 549 + 3*q) as f + j*q**2 + y*q and give j.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, o: 6, v: 3, z: 2, g: 3, m: 4}. What is prob of picking 1 v and 2 o?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-24)*z*z*z\/(z**(-9)\/z))**(7\/2) assuming z is positive.\nAnswer: z**(-63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38872 and 1371528.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - -0.6. Let x = -1.1 + 0.1. Let l = -0.9 - x. Put a, l, -1 in decreasing order.\nAnswer: a, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + 0.7. Let x = -4.5 + n. Let g = x - -3.925. Round g to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 320 + -309. What is the first derivative of -50 - 3 + c*m**2 - 28 + 23 - 6*m wrt m?\nAnswer: 22*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 36 or 395\/11?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 89063*j**2*s**2 + 9*j**2 + 4*j*s + 6*s**2 - 3*s - 491 wrt s.\nAnswer: 178126*j**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/2)\/((-21)\/8 + 3). What is the third derivative of 390*b - b**5 - 390*b + z*b**2 wrt b?\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-6)*(-17 + 26). Let s be (-3 - w) + -3 + 5. Solve -5*m + 16 = 4*v, 0 = s*m + 3*m - 20 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50592 and 5456.\nAnswer: 556512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/5)\/k*k*k*(k\/(k**(-2)\/k*k))\/k*k\/k**(-3)*(k**(2\/13)*k)\/k*k*((k\/(k*k**(2\/3)))**(-2\/7))**37 assuming k is positive.\nAnswer: k**(21023\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 4220*h**2 + 4235*h**2 + 4.\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/26 and (-147546)\/12852 - 36\/(-3).\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**7*d**(-2))\/(d*d*(d\/(d**4\/d*d))\/d*d*d*d*d*(d\/d**(-1\/14))\/d))**(-5\/3) assuming d is positive.\nAnswer: d**(-205\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 745.18812us?\nAnswer: 0.0000000086248625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2\/5 - 39*q\/10 + 27\/2 = 0. What is q?\nAnswer: -45\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-34) + (18\/(-17))\/((-282)\/(-10340))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57138 and 1926.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24304.01 hours in nanoseconds?\nAnswer: 87494436000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 11610 to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 724425220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -101110 (base 2) to base 12\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4 - 17430*q**3 - 52308*q**2 - 52314*q - 17439.\nAnswer: 3*(q - 5813)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -255886 smaller than -255785?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w - 17. Let p(n) = -n + 6. Let o(u) = 17*p(u) + 6*q(u). Let b(z) = -11*z - 2*z + 2*z. Determine o(b(c)).\nAnswer: -11*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -q**3\/6 + 1346*q. Suppose 0 - 4 = -4*d - 2*k, -17 = d + 5*k. Give u(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 2 + 3*p**2 - p + 0)*(422*p**2 + 268*p - 268*p).\nAnswer: 844*p**4 - 422*p**3 + 844*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*(-3)\/9 + -465. Let c = b - -739. Suppose 2*k + 3*l - 33 = 76, -5*k - 4*l = -c. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**5 - 1295*y**4 + 21*y + 20?\nAnswer: 40*y**3 - 15540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 35*g = -205 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 47*p - 2. Let l(w) = w**2 + 46*w - 2. Suppose -s + 5*i = 31, -3*s - 10 = -4*i + 6. Calculate s*l(f) - 3*x(f).\nAnswer: f**2 + 43*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 6726, -3, -67799 in decreasing order.\nAnswer: 6726, -3, -67799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxix when four letters picked without replacement from xaixdajs.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 + 0.8. Let w = 65 - 64.64. Let v = -1.36 + w. Which is the nearest to -0.1? (a) -0.3 (b) t (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -431192 or -431194?\nAnswer: -431192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -2. Which is bigger: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 745876 * -0.002\nAnswer: -1491.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffzyfyrpzfzfxzz. Give prob of sequence ypz.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4 - 474*k**3 - 18243*k**2 + 37920*k - 19200.\nAnswer: -3*(k - 1)**2*(k + 80)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from bbbbbbbabab?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 2*d + 1. Calculate z(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 + -47. Suppose 0 = -m*l - l + 3*s - 759, 2*l = -s - 308. Calculate the common denominator of 33\/10 and -5 + l\/(-42) - (0 + 1).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 8. Suppose -1 = 2*o - 5. Solve 0 = -q*y - 5*n, 0 = 3*y + o*y + n for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -7*q**3 + 7*q**2 - 7*q + 3. Let n(h) = 3*h**3 - 4*h**2 + 3*h - 1. Give 5*n(x) + 2*u(x).\nAnswer: x**3 - 6*x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 3*n - w = 1, n - 2*w = -3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(-2\/3)\/m)**(-19\/3)*m**(2\/19)\/m**12)**38 assuming m is positive.\nAnswer: m**(-4790\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = r + 3*w, 0 = 5*r + 2*w - 5 - 2. Suppose -2*y - 5*h = -r*y + 8, h = -y + 2. Let x be (-8)\/y*6\/(-4). Solve -x*p = -6*p + 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 207 - 207.0173. Round k to three decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 641603.9 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + -1 - -6) + 3. Let w = d - 8. Is w at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is aaa - a1c4?\nAnswer: -9417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -624 (base 16) to base 9.\nAnswer: -2136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 - ((-22 - 58) + 76).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 148\/3 - -2*(-8)\/(-24). Let j = 291 - f. Calculate the remainder when j is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 12412593.\nAnswer: -1\/4137531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -64*q**2 - 902*q - 14. Determine d(-14).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2370 or -1?\nAnswer: 2370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -82914 divided by 223?\nAnswer: -82914\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8575652 take away 0.7?\nAnswer: 8575651.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 7, -18?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 + 23*m**3 - 11*m**3 - 13*m**3 - m**2.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(420)\/sqrt(360))\/(sqrt(864)*-2).\nAnswer: -sqrt(7)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 210201011?\nAnswer: 210201021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 2)*(-5*d + 0*d + 3*d)*(-1 + 1 + d).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 3*l + 2, -16*u + 12*u = -2*l + 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -14*p + 8*p. Suppose -3*z + 3 = -p, -z = h - 40. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(2 + 0 + 0)*(3972*m**4 + 11351968*m - 11351968*m).\nAnswer: 15888*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56657636 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + (9 - -3 - (-3 + 7)). Suppose 9 = -i*b + 184. Calculate the remainder when b is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -153 - -173 - (-2 - -15)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 217958.094?\nAnswer: -217963.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*o**2 + 5*o**4 + 9*o**4 - 5*o**4 wrt o.\nAnswer: 216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*a**4 + 12*a**4 - 57*a**4 + (1 - a - 1)*(2 + a**3 - 2) + 0*a**4 + 2*a**4 - 3*a**4 - 5*a**4 + 2*a**4 + a**4.\nAnswer: -24*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 2339, -0.2, 0.3, 22?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217*b = 175*b + 399168. Is 44 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and 155219518.\nAnswer: 155219515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yx when two letters picked without replacement from gxxygxxggga.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 69*f - 426. Let p be y(7). Suppose -6*r + 2*r + 288 = 0. What is the highest common factor of r and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -21817 and -3.\nAnswer: -21820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -214066182 or 0?\nAnswer: -214066182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-156)\/(-546) - 30\/154)\/(3 + -1)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**5\/4 - o**4\/12 + o**3\/6 + o**2\/2 + 21*o. Let w be d(-1). Let r(j) = 2*j + 8. Determine r(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -11 - -22*4\/8. Solve 5*v + 3*j + 19 - 14 = 0, r = -4*v + 5*j - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91 - 220. Let p = 47 - g. Is 1\/(1 - p\/178) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i - 2*i + 0*i)*(11 - 4 + 15)*(0*i - 4*i + 0*i) in the form b + k*i**2 + n*i and give k.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4787020 is divided by 239350.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, w: 2, l: 6}. Give prob of sequence lo.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from iigcicc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -503 + 153 + 477*z + 195 + 155 - 472*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -y**4\/12 + 33*y**2\/2 - y. Let h(a) = a**3 - 10*a**2 + 9*a. Let v be h(9). What is the units digit of t(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.3 (b) 6 (c) 1 (d) -127 (e) -197\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/4)*i)**(-10\/13)*i\/(i*i*i*i\/(i*i*i*i**(-1\/4))*i*i)*i\/i**20 assuming i is positive.\nAnswer: i**(-1135\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1.9973+0.36\nAnswer: -1.6373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 367 + -366.7. Let z = 0.2 - -0.3. Which is the third biggest value? (a) -4 (b) z (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1))**(-31))**(2\/21)*(r\/(r\/r**8))\/(r\/(r*r**7))*r**(-2\/3)\/(r**(1\/4)*r) assuming r is positive.\nAnswer: r**(449\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**2\/5 - 53762*u\/5 - 1289136\/5 = 0.\nAnswer: -26857, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 1 + 1)*(10 + t - 10) - 91*t - 58*t**2 + 91*t + (-3 + 2*t + 3)*(-3*t + t + 3*t) + 2 - 2 + t**2.\nAnswer: -54*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.8? (a) 1 (b) 0.5 (c) 16458 (d) 2\/15 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 190039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.31 - 0.31. Let a be (-4)\/(-18)*3\/(-4). Let n = -1.2 - -1. What is the closest to g in a, n, -2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 17*x + 12. Let m(j) = 20*j + 15. What is 3*m(k) - 4*o(k)?\nAnswer: -8*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*q - 5*q**2 + 2*q**3 - 67*q - 2 + 30*q to the form d*q**2 + n*q**3 + t*q + x and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2764*g = 2775*g + 22 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 377 + -165. Let m = x + -209. Solve m*n - 7*n = 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111337b (base 12) to base 14.\nAnswer: -60c715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5*sqrt(720) - (-4*sqrt(315))\/sqrt(7))*4.\nAnswer: 576*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 2*r + 6 = 0. Let d(w) = w**2 + 3*w - 2. Calculate d(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 6 + (-11 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 328*h**2 - 88. Let z(l) = 30*l**2 - 8. Let f(p) = -6*r(p) + 68*z(p). Let m be f(5). Suppose -c = -4, 3*c = -4*b + 6*c + m. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -7 + (-3 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p. Let i(h) = 3*h - 9. Let d(o) = 16*o - 46. Let c(g) = -2*d(g) + 11*i(g). What is r(c(q))?\nAnswer: 2*q - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j - 8. Let m be ((-3 - -9)\/18)\/(1\/15). What is the units digit of k(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1244 (base 5) to base 2.\nAnswer: -11000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220171995?\nAnswer: 3, 5, 521, 9391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 75 = 3*o. Let g = o + -6. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5408 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t + t = -3454 + 17871. Calculate the remainder when t is divided by 139.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence os when two letters picked without replacement from {j: 1, p: 2, h: 2, n: 2, s: 1, o: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 7*i**2 - 8256*i + 640121. Calculate z(1096).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3562 and -0.9.\nAnswer: -3562.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in -4, -0.088, -0.5, -1169?\nAnswer: -0.088","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**5 - 120*n**4 + 92*n**3 + 712*n**2 - 432*n - 928 = 0. Calculate n.\nAnswer: -2, -1, 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of q**4\/9 + 10*q**3\/9 + 8*q**2\/3 + 27*q - 16. Let u(j) be the first derivative of l(j). Suppose u(v) = 0. Calculate v.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 3*p - 21, -2*p + 13 = 206884*d - 206887*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 217.346 in 21, 1\/9, -2, 0.5?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 4, 1\/8, 3\/2, 2\/15?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -36332.57 to the nearest 100.\nAnswer: -36300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 350, -1938, -5726, -11008, -17778, -26030, -35758?\n\"Answer: m**3 - 756*m**2 - 27*m + 1132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -388*j - 12564842 wrt j.\nAnswer: -388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -186.1651005 rounded to 3 decimal places?\nAnswer: -186.165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 143795179 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -3.8, 8, -0.5, 29, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 n when three letters picked without replacement from tanjjjenjenjeaejee?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3940 - -3936. Let x(c) be the third derivative of -c**5\/60 - 5*c**4\/24 - 8*c**2. Calculate x(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oozao. What is prob of sequence ao?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 23\/((-230)\/60) - -56. What is the highest common factor of 670 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.091 - 0.009. What is the nearest to 1 in -1\/5, u, -3\/8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62 + 66. Suppose 5*r - 5*o + o - 486 = 0, 0 = k*r + 2*o - 394. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 34 = -h - 4*y, h - y = 30. Let u(l) = -l**2 - 26*l - 96. What is the remainder when u(-12) is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 9997?\nAnswer: -10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.06408 + -0.03597. What is b rounded to 3 decimal places?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 3*f - 1. Let p(d) = d. Let t be p(2). Give k(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.12 and 25.01.\nAnswer: -3.0012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 2*v + 5 = 0, 2433*j + 3*v + 25 = 2438*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 675461395.\nAnswer: 5, 7, 19298897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/209820 and -22\/117?\nAnswer: 629460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 + -10)*2\/12. Which is greater: s or -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*c + 4*p + 16, -2*p - 16 = -3*c. Let i = 11 - c. Suppose 4*g = 9 + i. Solve 0 = 5*q - k - 1, -q + g*q + 3*k + 3 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50845 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mumkdamdmavk. What is prob of sequence kd?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4 = x, -x - 2*u = 2*x - 8. Suppose 5*q + d - 97 = 0, -q = x*d - 6 - 8. Solve -4*p - 3*n - n = q, 2*p - 2*n + 2 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (14 - -6)) + 6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + 56\/14 + -16 + -73?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/8822 and 115\/318?\nAnswer: 1402698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*a = 28, -2*a = -v + a - 14. Let d be (1 + 2 - 56003)\/(v\/70). Round d to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*r**2 + 81*r**3 + 97*r**2.\nAnswer: 81*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14064586 and -0.53?\nAnswer: -7454230.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1668334687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -35 + -16 + (46 - 21).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 6 = -4*u, -5*u + 0*s - 2*s = -11. Let c be 3285\/(36\/8 - u). What is c rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 115 - 344. Let i = 464 + b. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1857650 to the nearest ten thousand.\nAnswer: -1860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 0.5 (c) -35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -15.28. Let z = 0.48 - s. What is the nearest to -9 in -2, -3, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 1:40 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 at most as big as -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1099 - 3*s - 1099.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vfff when four letters picked without replacement from {r: 9, f: 1, b: 3, v: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -120*r + 2421. Let k be h(20). Solve -5*u + 15 = -2*g, 0 = -4*u + 9*g - 14*g - k for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0*z + 4*z = 52, -100 = -5*g - 4*z. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 14 = 4*j - 70, 4*j = f + 71. Solve -j*p - 35*p - 260 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79453?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 6*c + 7. Let s be k(-5). What is the nearest to 0 in -4, s, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 1 + 20*g + 13*g - 3. Let s be r(2). Suppose -f = 3*f - s. Does 16 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + t + 7, -2*t - 2*t + 20 = 4*g. Let o(l) be the third derivative of 0*l**4 + 1\/60*l**g - 1\/30*l**5 + 0 + 0*l + 2*l**2 + 0*l**3. Factor o(x).\nAnswer: 2*x**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6144 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 596? (a) 2\/3 (b) 15 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 1:48 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-3)\/(-5*(-24)\/180))*-48.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5512710 to the nearest one hundred thousand.\nAnswer: -5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - p - 1. Let s(a) = 3*a**2 - 17*a - 17. Let w(v) = -s(v) + 6*u(v). Let c(q) = 0 + q**2 - 6*q**2 + 6 + 6*q. Give -11*c(f) + 6*w(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*a**2 + 6195 - 5*a**3 - 6195 + 13*a**2 - 19*a**2.\nAnswer: -5*a**3 + 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 172*z**3 + z**2 - 16*z + 8. Let t(a) = 57*a**3 - 6*a + 3. What is -3*o(n) + 8*t(n)?\nAnswer: -60*n**3 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 4:27 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - -8. Let w = 28 - s. Suppose 0 = 12*c - w*c - 142. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56050 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2596\/(-354) - (2\/3 + -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12 + -9)*(2 + -1). Suppose 4*c = 4*s - 245 + 65, l*s = 4*c + 140. Calculate the highest common divisor of 16 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 171*k**3 + 202*k**3 - 75 + 48.\nAnswer: 31*k**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40813 + 40813.46962. Let r = 0.47 - m. What is r rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -w**3\/6 + 3*w**2\/2 - 4*w. Let h be q(5). Let o = -2 - h. Solve 4*n - 4 = -o*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2*h + 2*x + 18, x = 3*h + 1. Let k = 591.7 + -591.6. What is the third biggest value in h, k, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700935 to the power of 1\/2, to the nearest integer?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 537.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (1 + 2\/2). Suppose y = a + 5 - 14. Suppose -5*x - 68 = -4*s + a, -s - 3*x = -15. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 179138872?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9684 and -19.9933191?\nAnswer: 9703.9933191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 + 4590874*o - 918175.\nAnswer: (o + 918175)*(5*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j**3 - 2*j**2 - 5. Let n(t) = -t**2 - t + 1. Let u(z) = -4*z**3 - 7*z**2 - 4*z - 3. Let a(o) = -4*n(o) + u(o). Give -5*a(p) + 7*f(p).\nAnswer: -p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 - 510*z + 10278. Suppose -2*k - 2*c + 23 + 9 = 0, -5*c = 0. Calculate the lowest common multiple of x(22) and k.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 123 and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2433b3 (base 13) in base 12?\nAnswer: -358062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/2)\/((-9)\/(-18))*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 1570?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48031, 96057, 144083?\nAnswer: 192109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 94, 167, 258, 373?\nAnswer: 518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -812, -1568, -2326, -3086, -3848, -4612?\n\"Answer: -m**2 - 753*m - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.55622407 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -26 + (-6 - (1 - 3)). Let j be ((-9)\/(-5))\/((-3)\/p). Suppose 56 = 4*a - 4*x, 4*x + 2 = a - 0*a. What is the highest common factor of j and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 60 = -5*m, -3*o + 6*o - 3*m + 18 = 0. Find the common denominator of (-90)\/21*(-12)\/o and 12\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = h + 75. Does 22 divide h*3\/(-1) + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 5*p - 1011 - 31, 0 = 2*n + 4. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -31251846, -31251843, -31251840?\n\"Answer: 3*x - 31251849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-7)\/(x\/x**6))**(6\/19))**41 assuming x is positive.\nAnswer: x**(-492\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*z**2 - 17 + 17)*(-3 + 1 + 1)*(1 - 5 - 3) as i*z + h + a*z**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*b + 1608 = 439. Put -1, b, 52 in decreasing order.\nAnswer: 52, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1263489958 divided by -1.\nAnswer: -1263489958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/a**(1\/10)))\/a**7*(a**(-2)*a)**7)**(-1\/19))**(-36) assuming a is positive.\nAnswer: a**(-2502\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 35. Let o(r) = r - 5. Let i be o(7). Which is the biggest value? (a) y (b) i (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12540?\nAnswer: 2, 3, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 734422673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114362921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 21 + 12 + 175*x)*(0 - 4 + 3) in the form h + w*x and give w.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, y: 1, z: 1, d: 3, p: 4, a: 4}. Give prob of sequence am.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*sqrt(84))\/(sqrt(847)*3 - sqrt(847)).\nAnswer: -6*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 23*g**2 - 11*g + 11. Let w(o) = -8*o**2 + 4*o - 4. Let r(n) = 4*s(n) + 11*w(n). Let q = -366 + 368. Let i(k) = 5*k - 4*k + q*k - k. What is i(r(c))?\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(3) - -3*sqrt(3)))**2 + sqrt(48) + sqrt(2352).\nAnswer: 52 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -429\/940 or -1?\nAnswer: -429\/940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 3*l + 2. Let a be b(2). Let g(o) = 1 + a*o + 1 + 2*o - o**3 - 1. Does 3 divide g(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, -1, -56.4, 16\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 75884, -3, 5 in decreasing order.\nAnswer: 75884, 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 15*a**2 + 12*a - 10. List the prime factors of v(15).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 7*o + 0*o**3 + 6 - 5*o**2 + 0*o**2. Let y be v(6). Suppose 2*u - 2 = 4*f, -11 = -9*f + 4*f - 2*u. Is f not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10\/11 + 112\/99. Let p = -0.7 - -0.64. Let l = -1.06 - p. What is the closest to l in 1\/5, 2\/5, z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3 - 243. Suppose -3*y + 252 = -l, d = 5*y - 3*l - 176. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 f when two letters picked without replacement from mfacaaafaaacaacmcm?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - z - 5, -9 = c - 4*z + 16 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**2 - 4*z - 2. Let g be ((-4)\/14)\/(6\/(-168)). Suppose o - g*o = -35. Is t(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y - 49 = 36. Put 4\/9, -1\/9, -1\/2, y in descending order.\nAnswer: 4\/9, -1\/9, -1\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -7. Let u(t) = -6*t + 1. Calculate the remainder when u(-2) is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 - 4*i - 3. Let l be s(-1). Let d be 1*(-4 - -17) - l. Solve -4*p + d - 2 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112.458172 rounded to the nearest integer?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*a - 3*a - 806095 = 523430. What are the prime factors of a?\nAnswer: 3, 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24 + 4251?\nAnswer: 4227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/97? (a) 4\/9 (b) -1\/3 (c) 91 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -5*w**3 - 5*w**2 + 5*w. Let b(v) be the second derivative of -v**5\/4 - 5*v**4\/12 + v**3 + 5*v. Let t(l) = -5*b(l) + 4*s(l). Solve t(r) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11597337680 rounded to the nearest one million?\nAnswer: 11597000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 5518.\nAnswer: 60698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 27873.\nAnswer: -8\/27873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 n when two letters picked without replacement from hvnfghev.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in six fifths of a day?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) 0.4 (c) 4 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*5\/(10\/(-6)). Suppose d - 14 = -5*n, -d - 1 = -n + y. Is -71*(-1 + d - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 12. Suppose -4*s = -x*s - 68. Let z = -13 - s. Solve -3*f + 4*o = 32, -5*o + 2*o = z*f + 1 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 1\/3, -815?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/sqrt(2) + -4 + (sqrt(104)*-1 + sqrt(104))\/sqrt(8).\nAnswer: -4 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 5*h - 2. Suppose -2*d - 3 = 4*j + d, -j + 4*d + 23 = 0. Determine y(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48894 divided by -29\nAnswer: 1686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0736 + 0.2301. Let v = -0.0765 + x. Suppose 0 = -0*i - 2*i - 10. What is the closest to 0 in i, v, -2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3285 = -3*t - r - 3276, 4*t + 7 = 5*r. Let j(y) = -y**2 + 5*y + 4. What is the lowest common multiple of t and j(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 6*j**2 - 1. Let g be o(-1). Let n(x) = g*x - 3*x - 21 + 5 - 3*x. Let h be (-3 - 35\/(-10))\/((-6)\/108). Calculate n(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2 + 12 - 14 + u**2. Let w(b) = -3*b**2. Determine w(k(c)).\nAnswer: -3*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 5*s + 5. Let r(y) = -y**3 + 6*y**2 - 6*y. Let d be r(5). Give p(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 20 - 25*j)*(-5*j**2 + 5*j**2 - j**4).\nAnswer: 25*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 12*p - 18. Suppose -r - 2*q = 4*r - 182, -q - 107 = -p*r. What is the greatest common factor of r and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*t**2 + 99*t**2 - 405*t**2 + 101*t**2 + 100*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 275 divided by -5.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3141\/190 - -1614\/95. What is the common denominator of f and -117\/40?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 30270, 29154, 28036, 26922, 25818, 24730, 23664, 22626?\nAnswer: 21622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 - 21. Suppose 37*k - 74*k + 888 = 0. Calculate the remainder when k is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2393557926?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 386657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of y**3 + 6*y**2 - 454. Determine g(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*m - 40. Let i(f) = -5*f - f**3 - 5*f**2 + 13 - 9 - m. Determine i(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203292?\nAnswer: 2, 3, 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -14\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 910170 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -187 divided by 67.\nAnswer: -187\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 124602142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 38\/15*q**5 + 0 + 0*q**2 - 121\/9*q**3 - 7\/90*q**6 - 803\/36*q**4 - 58*q. Determine t so that a(t) = 0.\nAnswer: -2\/7, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-225)\/(-18))\/5*-2. Let n(q) = 6*q - 11. Let a(g) = -7*g + 11. What is j*n(s) - 4*a(s)?\nAnswer: -2*s + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**5 + 2*r**2 - 2*r**2 + 2*r**5 + 8*r**5 - 3*r**5 + (0*r**3 + r**3 + 0*r**3)*(2 - 2 - 3*r**2).\nAnswer: 6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-98)\/(-21))\/7)\/(22\/132)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 34628.69m?\nAnswer: 34628690000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**3 + 3*g**3 - 6*g**3 + (-g + 7*g - 2*g)*(2*g - g + g)*(35 - 75 - 87*g + 42)*(3 + 3 - 8) to j + l*g**3 + s*g**2 + y*g and give l.\nAnswer: 1388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 + 6*k.\nAnswer: -k*(5*k - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 625 divided by -3.\nAnswer: -625\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 1 = 4*p. Suppose 0 = p*r - j - 24 + 5, -5*j - 5 = -5*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 542 + -541. Let o(x) = -3*x - 6. Let b be o(-4). Put b, 2, j in decreasing order.\nAnswer: b, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144 + 142 + 16*b**2 + 144 - 430.\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - -81. Let d be 15\/r + 1\/(-3). Which is the second biggest value? (a) d (b) 4\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-312)\/(-1911))\/(10\/(-105))\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -8\/27?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24673801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 272, 1\/12, -5\/7, 2\/7, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**3 - 14*n**2. Let f be i(7). Let d(x) = -x**2 - 5*x + 15. Let z be d(f). Suppose -2*w = w + z. Let a(h) = -h**3 - 6*h**2 - 7*h - 7. What is a(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1560156.09 rounded to the nearest 100?\nAnswer: -1560200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 16720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 4*u + 18, -u + 6 = o + u. What is the remainder when ((-3)\/(-5))\/(o\/(-20)) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - a**2 + a - 4. Let k(s) = -s**3 - 6*s**2 + 6*s - 13. Let f be k(-7). List the prime factors of i(f).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 197 - 192. Solve 0 = o - n + 9 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**6\/24 + 65*n**5\/6 + 1285*n**4\/24 + 320*n**3\/3 + 194*n**2 + 1. Suppose i(c) = 0. What is c?\nAnswer: -128, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 414 = 4*w + c, -3*w + 4*c = -319. Calculate the greatest common factor of w and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*(-9)\/(-48))\/(10\/(140\/91)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-40))\/(4370\/1900)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-6*5*1*sqrt(76))\/(-3*(-4*-1*sqrt(36))\/sqrt(9))*5.\nAnswer: -75*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o - 45*o**2 + 258969 - 258969)*(o**2 - 3 + 3).\nAnswer: -45*o**4 - 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -377 - -366 - (-2 - (-2 + -1))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -187*-0.1\nAnswer: 18.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/3 + 47*w**3\/3 - 44*w**2\/3 - 92*w\/3.\nAnswer: -w*(w - 46)*(w - 2)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 9. Let f be b(0). Suppose 1 = -4*z + f. Find the second derivative of -y - y**3 + z*y**3 + 2*y**3 wrt y.\nAnswer: 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53504 (base 6) in base 10?\nAnswer: 7312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 - 34. Let k(i) = -i + 10. Let r be k(x). Suppose g + r*n - 3*n = 33, 3*g = -3*n + 159. Round g to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 1:51 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 3:41 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19395\/2 - 9694. Determine i, given that 3\/2 - 2*i**3 - s*i**2 + 3\/4*i**5 + 2*i**4 + 5\/4*i = 0.\nAnswer: -3, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -7, 121, -5, -4 in increasing order.\nAnswer: -7, -5, -4, 6, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13004, -13003, -13000, -12995, -12988, -12979?\n\"Answer: a**2 - 2*a - 13003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - o - 1)*(24 - 15 + 13) as k*o + a and give k.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -44*r - 2. Let l(t) = -23*t - 1. What is 6*f(u) - 11*l(u)?\nAnswer: -11*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -338*b - 406. Let q(l) = -67*l - 78. Give -4*o(v) + 21*q(v).\nAnswer: -55*v - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 6)*(-147)\/(-168).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 2*z**2 - 3*z**2)*(1 - 1 - 2*z) + (-2*z**2 - 9*z**2 - 1 + 7*z**2)*(-73*z - 38*z - 7*z).\nAnswer: 474*z**3 + 118*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/2274006 and -81\/758002?\nAnswer: 2274006","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 21*c - 17*c - 14*c - 11*c. Let u(a) = 6*a. Give l(u(y)).\nAnswer: -126*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.07 (b) 0.2 (c) 0.533 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*k**3 - 92?\nAnswer: 33*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.808 + -0.451. Let v = 6.2 + q. What is v rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25081*r + 25078*r + 25078*r + 25073*r + 25071*r - 125379*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-34)\/(-5 - -3))\/8 and 14\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q - 2*q + q + 2)*(9*q - 8*q - 32*q) + 10 - 10 - 2*q**2 to h + c*q + y*q**2 and give y.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/4*(1 + -11). Suppose -4*x - r = x. Let t be 18\/(-6) + (-2)\/x. Which is the closest to t? (a) 1 (b) -5 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (7 - (-8 + (2 - -2) + 29)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - -34) + (-11 - (1 - 3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 - 1. Suppose -2*h - 3 = -f, -1 = 2*h - 3*f - 4. Let s(d) = -d**3 - d**2 + 4*d - 1. Let j be s(h). Sort r, j, 0.5.\nAnswer: r, 0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (70 - 7)\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2 - 18*x + 9. List the prime factors of p(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1599, 7214, 16571, 29670?\nAnswer: 46511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l - 1774 + 1603 = 0. Let k(i) = -i**3 + 2*i**2 - 2*i - 2. Let q(r) = -5*r**3 + 9*r**2 - 9*r - 8. Calculate l*k(v) - 2*q(v).\nAnswer: v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 o, and 1 s when three letters picked without replacement from {t: 1, s: 2, v: 2, e: 1, o: 3, a: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h = 2*h + 24 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116.2*-0.07396.\nAnswer: 8.594152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1632934.217 rounded to the nearest 10000?\nAnswer: 1630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 62657749 to the power of 1\/3, to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = m - 6. Let p be (6 + -11)\/(m\/10). What is the highest common factor of p and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 419415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i\/i**11)**10\/(i**(-7))**1 assuming i is positive.\nAnswer: i**(-73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4563.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (9190\/(-132336))\/((-1)\/(-8))?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 10:54 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*j = -94*j - 3042 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 36 = g - k, 2*k + 32 = 2*g. Suppose 8*c = 13*c - g. Let o(a) = -4*a**3 - 13*a**2 - 3*a. Let b(d) = 2*d**3 + 7*d**2 + 2*d. Give c*o(l) + 7*b(l).\nAnswer: -2*l**3 - 3*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86110209 is divided by 2532653?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.029099 hours in weeks?\nAnswer: 0.541839875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -195744 - -195744.75. Let z = -0.1 + -2.9. Which is smaller: z or l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 2*x**2 + 2*x - 1. Let a be h(1). Suppose a = 3*l - 4*g + 2*g - 43, -12 = -l + 3*g. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96 and 203712?\nAnswer: 203712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 6*p = 0. Let f be (2 - 1)*(3 - 7). Put 4, p, -1, f in descending order.\nAnswer: 4, p, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*h = -180*h - 12 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + 1 - (-14 - (33 + -58)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 0)*(4 - 2 + 0)*(2*v**3 - 2*v**3 - v**3) in the form x*v + n*v**2 + d*v**3 + b and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -r - 24. Suppose -2*p = 30 - r. What are the prime factors of p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4126 - -4187. Sort 4, 0, k in ascending order.\nAnswer: 0, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 10. Suppose 0*r + 12 = g*r. Solve -y + r*s + 3 + 6 = 0, -4*y = 3*s + 21 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 - 6*n + 43 + 2*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*o**5 - 3415*o**4 - 2*o**3 - o + 735?\nAnswer: 100*o**3 - 40980*o**2 - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (-2)\/(6\/(-45)) - (-1 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 92 - 100. Let s(h) = h**2 + 8*h + 4. Let q be s(v). Find r such that -3*r**3 - 8*r**2 + 0*r**3 + 34*r**q - r**3 + 4*r - 26*r**4 = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - q - 15. Suppose 0 = -4*f - 0*f - 20. Is h(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 29180*p + 77. Is n(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*-2 + 3 + -1 + sqrt(48))**2 + ((sqrt(30)\/(sqrt(10)*2))**2 - -4*(sqrt(3) - sqrt(6)\/sqrt(2))).\nAnswer: 8*sqrt(3) + 67\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5038?\nAnswer: 2, 11, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16683573 + -5.\nAnswer: 16683568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3679860 and 144?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/11)\/b*(b\/b**(-12)*b*b)\/b)\/(b*b*b*b**1)**(-29))**(-40) assuming b is positive.\nAnswer: b**(-56840\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 5 = 9 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/2 in 57, -4, -1.2, -3\/2, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0751139302 rounded to 3 decimal places?\nAnswer: 0.075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/290 and 61\/117275.\nAnswer: 6801950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*n + 24, 2*c + n + 17 = 5. Let u = 10 - 19. Let z be 2\/u - (581\/9)\/c. What is the greatest common divisor of z and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 33*t = -2806. Let d be (-10)\/25*(-10)\/t. Is -1 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 54\/12 + 3\/(-2). Let m be (2\/o)\/((-2)\/(-6)). Suppose m*l - 3*l = -3. Calculate the lowest common multiple of 10 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -480*j**2 + 40*j - 40. Let y(v) = -37*v**2 + 15*v + 9. Let m(r) = -148*r**2 + 57*r + 33. Let c(q) = -4*m(q) + 15*y(q). What is -40*c(a) - 3*s(a)?\nAnswer: -40*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156 and 16380?\nAnswer: 16380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*h = -53694 + 48234 for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (30 - (34 - -50))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**4 - k**4 + 4*k**4)*(k + 0 + 0) - 10*k**5 - 6*k**5 + 4*k**5.\nAnswer: -7*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 19*z + 2. Let j(a) = 20*a + 1. Give 3*c(k) - 2*j(k).\nAnswer: 17*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 13*b**3 - b**2 - 12*b - 30. Let y(i) = -7*i**3 + 7*i + 16. Let o(v) = 6*f(v) + 11*y(v). Give o(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ypp when three letters picked without replacement from zrksyzpp?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9946*g + 115304 + 580916 for g.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0048 + 0.0188. Let o = i - 1.014. What is the fourth biggest value in -0.2, 0.1, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 - 9266*x - 2369742. What is n(-243)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 12 = -2*u, -5*u - 3*l + 2 = -15. Solve 5*f - 2*k = -29, 7*f + u*k + 12 = 3*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 465500354 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from noqss?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 139228 to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -2. Let i = 207347 + -207349. What is the fourth biggest value in i, -5, 2, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.7*-0.7677.\nAnswer: 7.44669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-3)*(-2 + 8). Let z be h\/22*-46 + 4. Which is the biggest value? (a) 4 (b) 0.1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(2 - (-50)\/(-16)))\/((-12)\/16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 12:33 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6999997 - -0.7. What is x rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**4\/3 + 2160*a**3 + 5248800*a**2 - 3*a - 619. Suppose p(w) = 0. What is w?\nAnswer: -1620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 124936 and 497028.\nAnswer: 2716","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of w**4\/20 + 17*w**3\/15 - 19*w**2\/5 + 1844. Factor i(x).\nAnswer: x*(x - 2)*(x + 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*i**4 + 111*i - 17889.\nAnswer: -44*i**3 + 111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101010000 + 10001110?\nAnswer: 1111011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 17*c + 66. Give v(19).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -6*n + 516. List the prime factors of n.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-11))\/(j\/(j*j*(j\/(j*j**(4\/13)))\/j*j))*j**(1\/30)\/(j**(-1\/25)\/j) assuming j is positive.\nAnswer: j**(-16057\/1950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6*b**2 - 2*b + 1. Let u be (-176)\/18 - 12\/54. Let k(l) = l**2 + 10*l + 1. Let x be k(u). Determine p(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52127.\nAnswer: 52127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1*4*13482\/2568\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35924 and 11116?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 89*l**2 + 29018*l + 1307. Give j(-326).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4450412\/57 at most -78078?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 4:54 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -24*w**2. Let z be (224\/(-72))\/7*-9. Let m(l) = 1142 + z*l - 1142. What is m(f(a))?\nAnswer: -96*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6426, -6423, -6420, -6417, -6414?\n\"Answer: 3*o - 6429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 8:11 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2*(1\/9)\/(1408\/576)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 - 1605*f - 1602.\nAnswer: -3*(f + 1)*(f + 534)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 8 = -0*y + y, 15 = -5*r. Let q be (-16)\/y + (-1 - 2). Let s = 43 - q. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/14)\/(((-102)\/10)\/(518\/370)).\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/66*(-2)\/10)\/((-3)\/5).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2825 divided by 5?\nAnswer: -565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/6 - 61*a**2\/3 + 451*a\/6 + 413.\nAnswer: (a - 118)*(a - 7)*(a + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2098 and 44069539.\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, -3\/26, 118007 in decreasing order.\nAnswer: 118007, 0.6, -3\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -19. Suppose 0*v - u = -5*v. List the prime factors of ((-43)\/(-1 + v))\/(-1).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -706*c + 13. Let r(l) = 142*l - 3. What is 11*r(f) + 2*s(f)?\nAnswer: 150*f - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*l + 3*r - 18, 8 = l + 5*r. Suppose -4*b + 413 + 10 = l*t, b = -t + 106. Let h = -54 + b. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjljljjjlj. Give prob of picking 1 l and 1 j.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -170570\/46189 - -2\/3553. Is q bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1522*q**5 + 15221*q**4 + 24342*q**3 - 88292*q**2 + 50284*q - 33 = 0. Calculate q.\nAnswer: -3, 1\/1522, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1417131 is divided by 151.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10780*b**4 - 328*b**3 - 3*b**2 - 90634*b + 34?\nAnswer: 258720*b - 1968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ja when two letters picked without replacement from ajjzjjjwjzkzj.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xynt when four letters picked without replacement from {n: 4, y: 1, x: 2, o: 1, t: 2}?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -38338585414 and -317.4.\nAnswer: -38338585731.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a hour in seconds?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 2. Let v be y(-2). Suppose v*k = -2*d - k + 31, 3*k - 65 = -4*d. Does 17 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 438 minutes before 11:36 PM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.000116263 to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.06 - -0.06. What is the nearest to -1\/4 in l, -3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millennium in months?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q - k - 3, 8 = 19*k - 15*k for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 698748 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2 = 16. Let b(v) = 2*v**3 - 11*v**2 + 12*v + 2. Let q be b(h). Calculate the highest common divisor of 10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.77 + -0.7. Let l = 1614\/7 - 231. What is the biggest value in 0.2, q, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-462)\/88)\/(3\/(-4)) - 9\/(63\/329)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -190 (base 16) in base 4?\nAnswer: -12100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -119 in 1, -3\/2, 12, -0.2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -2 + 3 + -1 + -6 + 38 + 28?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - f + 2 - f - 13*f**2 + 1 to the form p + t*f + m*f**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 207 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-40)\/2)\/4)\/((-3)\/(-3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2000*q + 4. Let r be k(2). Let o = r - 208237\/52. What is the common denominator of o and 73\/10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.84227 to zero decimal places.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 520*z**5 + z**3 + 443*z**2 - 9*z?\nAnswer: 31200*z**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 + -3422123233?\nAnswer: -3422123303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 4*d + 3. Suppose 5 + 1 = -4*j + 2*g, 0 = 3*j + 3*g + 27. Give x(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**26*b\/b**17)\/(b\/((b*b*b\/b**(4\/7))\/b*b)*b**(2\/41)))**(-3\/5) assuming b is positive.\nAnswer: b**(-9798\/1435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*p - 54*p + 820 = 66*p for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**4\/2 + 20585*u**3.\nAnswer: -5*u**3*(u - 8234)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vdodvvdatddo. Give prob of picking 1 o, 1 d, and 1 v.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by 455?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 18*r**2 - 18*r**2 - 2*r**3 + (2*r**2 + 4*r - 4*r)*(2*r + 0 + 0) + 0*r**3 + 2*r**3 + 0*r**3 to the form l*r + t*r**3 + z*r**2 + q and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-6))\/((-3)\/(-99)). Suppose -5*i + 76 = x. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36191978 is divided by 1870?\nAnswer: 1868","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 0*y**3 + 0*y - 13*y**2 - 1\/3*y**4 + 0. Let m(b) = 2*b + 2*b - b - b. What is m(q(i))?\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*6 + (-18)\/6. Suppose 0 = 3*r - 0*r - p, -3 = -4*g + 3*r. Suppose g*f + j + 3 = -3*j, 5*f + 3*j = -5. Are f and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 221 - 213. Let g be 2 + 8*2\/4. Suppose -4*j = 2*u - m, -4*j + g = u - 0*u. Which is bigger: 3 or u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 400*n**2*s + n*s - s - 78 wrt n.\nAnswer: 800*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 5131.694.\nAnswer: -5132.694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 - s**2 + 60*s + 55 + 7*s**2.\nAnswer: 5*(s + 1)*(s + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 87*p**2 - 86970*p - 30000 = 0.\nAnswer: -10\/29, 1000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4215819 is divided by 587?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -12457.03 to the nearest one hundred.\nAnswer: -12500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1.1 (b) -63 (c) -115 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 135567347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-282)\/9)\/(14\/(-21)). Let h = y + -28. Solve 4*v + z + h = 0, -4*v + 0*z = 5*z + 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3165380 to the nearest integer?\nAnswer: 1779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -26. Suppose -2*j + n = -j + 10, j - 15 = -z*n. Put 0, -2, j in descending order.\nAnswer: 0, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, k: 4, z: 2, q: 1, r: 1}. What is prob of picking 1 r and 1 c?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*w - 9469684 = 123*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 338602118 and 19302?\nAnswer: 6434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -134*f**3*v**2 + 5*f*v**2 - f*v + 20103*v**2 wrt f?\nAnswer: -402*f**2*v**2 + 5*v**2 - v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2362.\nAnswer: 2, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -71210 > -71243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 262*v**3 + 69*v**2 - 165*v - 271*v**3 + 64*v**2 + 48*v**2 - 67*v**2.\nAnswer: -3*v*(v - 11)*(3*v - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a century in decades?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 7*k**2 - 10*k + 5. Let y be b(5). Suppose -2*d = -3*g - y, -4*d - 4*g + 7*g + 13 = 0. Is 3 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*g - 5*i, -i - 1 = -4. Which is the closest to 2? (a) g (b) -0.1 (c) -0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -591 not equal to -59563\/101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*r = 6, 0 = 3*m - m - 5*r - 12. Let q be m + -5 - 30*-4. What is the highest common factor of 29 and q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21 - 54*u - 1 + 22 wrt u?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1197.39157 to zero decimal places.\nAnswer: -1197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 991 - 995 = -2*c, 2*c + 6 = -5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**8\/84 - 2*o**7\/105 - 2*o**6\/3 - 16*o**5\/15 + 32*o**4\/3 + 160*o**3\/3 + 2*o**2 - o - 56. Determine x, given that i(x) = 0.\nAnswer: -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**3 - 2. Let n(s) = 101*s**3 - 105*s**3 + 2 - 5. Give -2*n(f) + 3*y(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1*-1)\/((-2)\/12). Let m(z) = -z**2 + 45*z - 377. Let t be m(11). Let u be ((-3 + 2)\/1)\/(-1)*-5. Which is the biggest value? (a) j (b) u (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = -2*b + 41 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.38414 and 0.5?\nAnswer: -4.69207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32373\/16 + -2021. Calculate the common denominator of g and 1\/8 + 397\/(-72).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 213853\/896350 - 102\/1379. Calculate the common denominator of k and -57\/50.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3210 - 3230?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -15.6861286271 and 1.3.\nAnswer: -14.3861286271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 473750?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express i + 0*i**2 + i**2 - 26*i**2 - i**2 as z*i**2 + p*i + d and give z.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -3. Let l = -6 - -12. Let p = 38 - 40. What is the closest to p in d, l, -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 30 = 8*z, -14 = 3*g + 68*z - 63*z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 2) to base 16\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 64?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 + 32. What is the smallest value in -5, 2\/7, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(2\/3)*(-3200)\/(-1200)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of g**4\/12 - 74*g + 19. Let x(d) = -578*d. What is x(p(r))?\nAnswer: -578*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14312 (base 6) to base 11.\nAnswer: 178a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282343 is divided by 282178?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -29375, -51 in descending order.\nAnswer: 3, 2, -51, -29375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*p + 2260 + 1604. What is the highest common divisor of p and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 1. Suppose 0 = -3*i + 3, -3*t - 6*i + 4*i + 1973 = 0. Suppose -662*s - 5 = -t*s. Let n(d) = 3*d**2 + 1. What is s*v(z) + n(z)?\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -1\/3*j**4 + 0 - 4*j - 5\/6*j**3 - 1\/20*j**5 + 6*j**2. List the prime factors of x(-5).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13861.\nAnswer: 83, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away -29635?\nAnswer: 29635.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pll when three letters picked without replacement from {p: 2, l: 11}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 10485732070 and 1.\nAnswer: 10485732071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*c - 6 = -2*q, 0 = c + 3*q - 8. Factor c*f**4 - 13*f**2 - 26*f**2 - 4*f - 163*f**3 - 110*f**4 + 19*f**3 + f.\nAnswer: -3*f*(f + 1)*(6*f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -16*j**3\/3 + j**2\/2 - j. Let u = 57 + -60. Is l(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**2 - 2*j**2 + 2*j - 2*j + 822*j**3 - 1313*j**3 in the form x*j + o*j**2 + p + z*j**3 and give z.\nAnswer: -491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, k: 4, f: 3}. Give prob of sequence fl.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 71\/2, -0.1, -4 in descending order.\nAnswer: 71\/2, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + s**2 - s**2)*(-6*s + 4*s - s)*((4*s + 2 - 2)*(-2 - s + 2) + 0*s**2 - 5*s**2 + 2*s**2).\nAnswer: -42*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/385 - 552\/385. Calculate the common denominator of j and 13\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 k when two letters picked without replacement from wkmlr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -11. Solve q - 2 = d*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kzzx when four letters picked without replacement from izqvzxk.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 4*z = -12, 4*z + 7 = -5*x - 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 12:12 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-952)\/(-154) - 4\/22. Let w(f) = f**2 + 5*f - 8. Let b = 4 + -6. Let j(o) = -o**2 + o + 1. Let u(i) = b*j(i) - w(i). Give u(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p**2\/11 - 3632*p\/11 + 66 = 0. What is p?\nAnswer: 1\/5, 363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -26556219, -26556214, -26556209, -26556204, -26556199?\n\"Answer: 5*o - 26556224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 118. Calculate the highest common factor of v and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -133*t**4\/3 + 4802*t - 1. Let c(p) = 9*p. Determine u(c(x)).\nAnswer: -43092*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 16 = -8*f, 2*u = 17*f - 19*f - 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 0 = -3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, j: 1, n: 4, s: 4, r: 4, z: 2}. Give prob of sequence sz.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v + 4*v + 3*v + (-v + 0*v - v)*(-4 + 2 + 4) - 3 - 2*v + 3 + (3*v - 2*v + 0*v)*(4 - 1 + 5).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52*(-63)\/1274*(-14)\/4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/(-1122)*17*(2\/20)\/(28\/2184).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 112025737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18523, 37542, 56561, 75580?\n\"Answer: 19019*y - 496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 2*a**3\/3 + 2*a**2\/3 - 2*a\/3 + 10. Factor o(r).\nAnswer: 2*(r + 1)*(3*r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24072648 is divided by 135.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 693 and 75?\nAnswer: 17325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32756118?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 10 = -2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = p - 4, -p + 54 = -2*q. Let i = q - -30. Suppose u + 4*u = 0. Solve -2*t = z - u*z - 4, 3*z - i = 2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 39000, 77994, 116992, 155994, 195000, 234010?\n\"Answer: 2*r**2 + 38988*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from qnnnqqqqnnqqqqqqqn?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-516012)\/3 + 5 + -1. Round v to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96270263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0057873 to five dps.\nAnswer: -0.00579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9.19, -1, 4, -280, -10 in descending order.\nAnswer: 9.19, 4, -1, -10, -280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -6*l. Suppose -5*t = -1 + 11. Give i(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446576935 to the power of 1\/2, to the nearest integer?\nAnswer: 21132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 24. Let u = f - -13. Let c = -5 - u. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 13 + 7*z + (1 - 2 - 2)*(-4*z + 4*z + 2*z) + 0*z - 2*z + 0 - 1 to the form b + d*z and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1*sqrt(504) + sqrt(504))\/(sqrt(8)*-2*1) + 4 + (-2*sqrt(252) + sqrt(1008)\/sqrt(9))**2 + 4.\nAnswer: -3*sqrt(7) + 459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6a570 (base 13) to base 11\nAnswer: -122a61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**6\/90 - 4*c**5\/15 + 2*c**4 - 28*c**3\/3 + 2*c**2 + 19. Let u(s) be the first derivative of l(s). Factor u(m).\nAnswer: 4*(m - 6)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (21 + -3)\/(12\/(-6)). Let v(f) = 2*f - 1. Let w(z) = z - 10. Let r(k) = k + 1. Let n(m) = -6*r(m) - w(m). Calculate c*v(j) - 2*n(j).\nAnswer: -4*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y + 1. Let p(w) = 9*w + 103. Determine p(x) - 4*r(x).\nAnswer: 5*x + 99","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70 + 73. Let p = 14 + -4. Let j be (-2 - -2) + (-10)\/(-2). Sort p, w, j in decreasing order.\nAnswer: p, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -u**6\/135 - u**5\/30 - u**4\/18 - u**3\/27 - 12*u + 12. Let y(v) be the first derivative of k(v). Factor y(d).\nAnswer: -2*d*(d + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*o + 43*o + 76*o + 51*o - 194*o + 59*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 171?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q - 13 + 13 + (3*q + 4 - 4)*(0 + 10 + 0)*(1 - 2 + 2)*(1 - 7 + 2).\nAnswer: -116*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 447678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-60) - (-2)\/15. Solve i = -10*u + 7*u - 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161333 is divided by 19757?\nAnswer: 3277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1530\/4284 + (-3020)\/5320\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23783, 23786, 23791, 23798, 23807, 23818?\nAnswer: 23831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of 0*l**6 + 3\/20*l**5 + 168*l + 11\/3*l**3 - 5\/42*l**7 + 0 + 1\/2*l**2 + 0*l**4. What is the second derivative of j(i) wrt i?\nAnswer: -100*i**3 + 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, u: 10, d: 1, c: 2, e: 4}. Give prob of picking 1 u and 1 w.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -245*q**5*u**2 - q**2*u**2 + q*u**2 + 71*u**2 wrt q.\nAnswer: -4900*q**3*u**2 - 2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9830 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nkpzd. What is prob of picking 1 n and 2 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6859 at least 6860?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -13869.8.\nAnswer: 6934.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 1 - 1 + 10*h + 11*h**2. Let w be u(-10). Does 7 divide 3 + (w - -18 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/3)\/n**(-1\/4))**(-26)\/(((n\/n**6)\/n)\/(n\/(n\/(n*n*n*(n**(-1\/11)*n)\/n*n*n)))*n**(-4)\/n*(n\/n**2)\/n) assuming n is positive.\nAnswer: n**(1325\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*y - 5*y + 52 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 315*l**4\/8 - 857*l**3\/6 - 1171*l**2. Differentiate v(m) wrt m.\nAnswer: 945","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 28*u**2 - 39*u + 15. Determine n(-27).\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 5:22 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.482 to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1190710586.\nAnswer: 2, 13, 271, 168991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2 + -432334.6?\nAnswer: -432331.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 340*b**2 - 6701*b + 570. Calculate p(319).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143745 is divided by 99?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -8. Let n be ((-8360)\/(-224))\/(-19) - -1*1. Let b = 3\/14 + n. What is the fourth biggest value in -0.5, m, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**3\/3 - 11*o**2\/2 - 13*o - 21. Suppose 2*c + 2 = 0, -2*c + 3 = -p - 4. What is the units digit of t(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 248\/14 - 28\/(-98). Suppose -3*y - 3*x = -q, -2*y - 2*x - x + 16 = 0. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-10 - -11 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6068?\nAnswer: 2, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/54)\/(387\/27864)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*-7*(2 + -1). Suppose -j + a = -9. Solve -6*p - j = -2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-7))\/(3\/7)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 273 - -47. What is the greatest common factor of n and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 13*r**2 + 15*r - 9. Let z be j(14). Let t = z - 7. Let v = -7 + 7.3. Which is the closest to -2\/5? (a) t (b) v (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 348 and 4596268.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/(2*sqrt(432) + sqrt(432) - sqrt(432)))\/(4*2*sqrt(9)*4)*6.\nAnswer: sqrt(2)\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 0.383 (c) 13 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 + -36.9. Let q = j - -2.851. What is q rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*((sqrt(187) + (sqrt(187) - (sqrt(187) + (sqrt(187)*-1 - sqrt(187)))))*2 - sqrt(187)))\/(1*sqrt(1331)*-4))**2.\nAnswer: 3825\/1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 7*v**5)*(-3 + 6 - 5) - v**5 - 2*v**5 + v**5.\nAnswer: -16*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 433181412 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.06, 7, -1.53?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**4\/3 - 58*f**3\/3 - 160*f**2\/3 - 104*f\/3 = 0 for f.\nAnswer: -26, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/6)\/(-7)*1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 g when two letters picked without replacement from {v: 6, g: 1, f: 1, b: 3, o: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008319 to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q**3 + 5*q**2 - 2*q + 29. What are the prime factors of s(5)?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5326529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -67831, -271342, -610531, -1085398, -1695943?\n\"Answer: -67839*s**2 + 6*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5, -18, -27, -26, -9, 30, 97?\n\"Answer: b**3 - 4*b**2 - 8*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 - 7505*g - 15030.\nAnswer: 5*(g - 1503)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.03814 + -21.96186. Let d = 5.5 - 5.6. Which is the second smallest value? (a) d (b) -4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -23*r + 215. Let c be w(-41). Suppose -36*t = -21918 - c. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, o: 3, l: 2, d: 6, t: 3, x: 2}. Give prob of picking 1 d and 1 p.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 744 and 71113380?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -157*m + 2. Let x(u) = 78*u - 1. Let b(z) = -3*t(z) - 5*x(z). Let g be b(1). Suppose -3*l - g + 371 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 10*p**5\/3 - 836*p**4\/9 - 7438*p**3\/3 + 14872*p**2\/3 + 7816*p\/9 - 352 = 0.\nAnswer: -18, -1\/3, 1\/5, 2, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*2\/(-6)*2. Solve 0 = -g + t*v - 3*v - 2, g = 4*v + 7 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2524405245 - 5?\nAnswer: -2524405253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**2 + 16*v + 13*v - 45*v + 198 + 16*v to the form p*v**2 + j + r*v and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, 13, -10, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -9*w - 4. Let s(q) = -11*q - 5. Let y(a) = -4*s(a) + 5*t(a). Let m(p) be the first derivative of 11*p**2\/2 - 2. Give m(y(o)).\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 249216 and 1920?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (3 - 17) - -32.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**5 + 1 - 1 + (-2*g**5 + 11*g**5 + 3*g**5)*(1 - 3 + 4) + (0*g**2 - 4*g**2 + 2*g**2)*(-g**3 + 6*g**3 - 3*g**3) + 0*g**3 + 2*g**5 + 0*g**3.\nAnswer: 19*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29065363 to the nearest integer?\nAnswer: 5391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - u + 3 + (0 - 1 + 0)*(2*u - 2*u + 4*u) + 388*u + 23 + 26 - 49 + 3 + u - 3 in the form q*u + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 2*z**2 + 1. Let v be t(1). Let m be -2 + -1 + v + 9. Let c = 157 - m. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*a = -40, -2*i = 48*a - 44*a - 56. Solve 0 = -19*v + i*v + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*s - 50 = 0, 0 = 2*y + 4*s - 6 + 2. Let g(w) = -3*w - 20. Let t be g(y). Calculate the greatest common factor of 1 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 280*t**4\/3 - 2480*t**3\/3 - 13085*t**2\/2 - 14815*t\/6 - 665\/3 = 0.\nAnswer: -19\/4, -1\/4, -1\/7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 515594524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30559763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -5, 18, 71, 166, 315, 530, 823?\nAnswer: 1206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 7 + 73*f**2 - 17 as v*f + z*f**2 + a and give z.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-6 + 7 + 1 + 7)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zr when two letters picked without replacement from hzrlfzf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1004*h + 25*h**4 + 1006*h + 14*h**4)*(-1 + 1 + 2) to the form y*h**4 + q + s*h + v*h**2 + a*h**3 and give y.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1157895 and 5085?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -178025730*d + 212164149.\nAnswer: -178025730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 774551.2 hours in minutes?\nAnswer: 46473072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 5, -29, -1 in ascending order.\nAnswer: -29, -4, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/24 - 2\/(-3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 15*j**3 + 13*j**2 - 13*j. Let p(x) = 7*x**3 + 6*x**2 - 6*x. Let i(a) = -7*a**2 - 3*a - 2. Let g be i(-1). Determine g*l(u) + 13*p(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 5*x = -72, 8728*y = 8727*y + 4*x + 35 + 9 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.358*0.1.\nAnswer: -0.4358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(2 - 3) + 3. Suppose 2*s - 12 = -5*z, z = -2*z + r*s + 28. Calculate the least common multiple of z and (-19)\/(-2) + (-1)\/2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29? (a) -1 (b) 2\/103 (c) 0 (d) -0.4 (e) -20 (f) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-17) - (6 + -6)\/5. Is 0 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2124, -5, -3\/80?\nAnswer: -2124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 719 by 6.\nAnswer: 719\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of t**4\/4 + 44*t**3\/3 - 46*t**2 + 511. Factor n(d).\nAnswer: d*(d - 2)*(d + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22525238 divided by -5?\nAnswer: -22525238\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 390, 665, 940?\nAnswer: 1215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 45*s**2 - s - 16. Let z be o(-45). Suppose -68087 + 23572 = -z*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/372 and -59\/3561.\nAnswer: 441564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 93 + -75. Suppose 8*j + 2 = i. Factor 0 - 4\/5*h - 6\/5*h**3 + j*h**2.\nAnswer: -2*h*(h - 1)*(3*h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2396000 rounded to the nearest one hundred thousand?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 k when four letters picked without replacement from rrrkkkkkrkrrrrrkkkrr.\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 19\/57 + -1 + (-22)\/3. Let f(j) be the second derivative of -1\/6*j**3 + 0 - 2*j - 4*j**2. Determine f(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-14592)\/570)\/((-1)\/15) is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2 - 11*c + 20*c - 13*c - 14. Give t(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 5*v**2 - 4*v - 2. Suppose -4*w - w = -10. Let g be j(w). Suppose -g*u + 8 = 16. Put 3, u, -5 in decreasing order.\nAnswer: 3, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/545 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/3 + 15\/3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 5\/6 (b) 1\/5 (c) -1\/7 (d) 0.7 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 4*u - 3*i, -i - 15 = -7689*u + 7692*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7*i**2. Let t(q) = -4378*q. Determine n(t(f)).\nAnswer: 134168188*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8b (base 15) to base 11\nAnswer: -10a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*u + 72 = 117 + 461. Calculate the remainder when ((-50)\/(-4))\/((-8)\/(-80)) is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1539) + -4.\nAnswer: -4 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.92 - 13.42. Which is the closest to 34? (a) j (b) 3 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, m: 7, e: 1, v: 2, l: 2, p: 2}. What is prob of picking 1 l, 1 k, and 1 m?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 6*u. Let b(v) = -1457*v - 4. Give b(h) - 2*k(h).\nAnswer: -1469*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 97*t**3 - 8*t**2 - 15*t + 10. Let q(m) = 45*m**3 - 5*m**2 - 7*m + 5. Give -6*g(s) + 13*q(s).\nAnswer: 3*s**3 - 17*s**2 - s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -83 and -1346.4.\nAnswer: -1429.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1*sqrt(152)*6 + sqrt(152))\/(sqrt(32)*-5 + sqrt(8)) + 4.\nAnswer: -7*sqrt(19)\/9 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 187024.6253 to the nearest one thousand.\nAnswer: 187000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -142370 to the nearest 1000.\nAnswer: -142000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*p + 6 = 4*p, 0 = 5*p. Let c be 2\/(-3 + 1)*l. What is the units digit of c + -3 - (0 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/3 - 21886*w + 3683120\/3.\nAnswer: -2*(w - 56)*(w + 32885)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 50 + -5 + -66 + -86\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 8*w**3 + 2*w**2 - 1. Let z be n(1). Let j = -5 + z. Solve -4*b = -3*b + 5*c + j, 4*b + 4*c = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -893 - -6234\/7. Let g = -19\/7 - i. Let a = 6.2 + -6. Is g greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-3\/10)*f**13)**(-15) assuming f is positive.\nAnswer: f**(-441\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -346.7 - 311.1. Let x = d - -658. What is the closest to 3 in 3\/4, 5, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2 = -x, 0 = 4*x + 2*i + i - 19. Let o be (-3*x\/12)\/1. Let b be -22 + 107 - (o + -2). Calculate the greatest common factor of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/20)\/((-470)\/(-25) - 19)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y + 27. Let n be t(-5). Let k be (n - 4) + 5 + -1. Suppose 0*s - 2*s - 2*u = -74, k*s = 3*u + 69. What is the greatest common divisor of 12 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 4*n**2 + 3*n + 2. Let a be j(-3). Let l(r) = r + 4. Let d be l(-3). Let f be (3 - -3)\/(a\/d). Which is bigger: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 57\/(-285) + (-110)\/25. What is the smallest value in 0.5, -1\/6, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -0.5. Suppose 5*k + 45 = 4*a, 28 = -5*k + 3. What is the second biggest value in u, a, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 2*k + v - 3686, 2*k + 4*v - 2454 = 0. Let f be (k\/(-3))\/((-6)\/(-144)). Let u = f + 265493\/27. Find the common denominator of -17\/15 and u.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -55*m + 52*m + 8*f - 191, 7*m - 40*f = -44*f + 53 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**5\/60 + 3*s**4\/8 - 38*s**2 - 1. Let q be l(-9). Solve q*b - 21 = 4*z - 3*b, 3*z + 6 = -b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -16*a - 2*a + 0*a**2 + 5*a + 17 - a**2. What is the remainder when 50 is divided by b(-13)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9612926ml?\nAnswer: 0.0009612926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 4*a**2 + 2*a - 3. Let o be w(4). Let t(u) = -u + 2. Let n be t(6). Let f = 8 + n. Solve o*i - f = 11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-3) + (-64)\/(-24). Suppose 4*d = -12, m - 4*m - 12 = -r*d. Let p(i) = -i**3 - 7*i**2 - 5*i + 2. Give p(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -107*b**5\/5 - 9*b**2\/2 - 14*b + 401. Find the second derivative of i(f) wrt f.\nAnswer: -1284*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nui when three letters picked without replacement from viunnvlnuuvnnv.\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27213 and 329.\nAnswer: 190491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -601.527368 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*o - 6*o + 3*o)*(-1 + 3 - 4)*(-9 - 4 - 7 + (1 - 5 + 2)*(2 - 1 + 1))*(o + 5 - 5) in the form s + r*o**2 + v*o and give r.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-14)*1\/(-555). Let c = s + -40151\/7770. Calculate the common denominator of -59\/16 and c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.13059 - 1.13. Round t to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/30 and 19\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-7\/3)*n)\/n**(-5\/6))\/(n\/(n\/n**(-10\/7))*n**(-11)) assuming n is positive.\nAnswer: n**(739\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x**3 + x**3 - 3*x**2 + 2*x**2)*(-12673 - 180*x + 12673) to the form o + n*x**4 + a*x**3 + v*x**2 + t*x and give n.\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 - 5*s**2 + 4*s**2 - s**2 + 0*s**2 - s**2 + (-s + 3*s + 0*s)*(-4*s + 0*s + 3*s) + 5*s**2 + 19*s**2 - 5*s**2 + 4*s**2 + 2*s**2 - 3*s**2.\nAnswer: 19*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2046)\/(-124) - ((-336)\/504)\/((-2)\/36)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x - 3 + 3 + (4*x + 0*x - 5*x)*(2 + 10 + 0) + 2*x + 2*x + 2*x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 19*l**5\/60 + 2*l**3\/3 - l**2. Let i be 2*(-1)\/(-4)*9\/((-27)\/(-12)). Is v(i) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*o - 3 - 48*o + 3 + 26*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11483815753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18931214*q = 18931211*q + 2*o + 30, 8*o + 24 = 0 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 9 = 3*w. Let n be 55\/22*24\/(-20). Let x(k) = -2*k**3 - 5*k**2 - k + 4. Let c be x(n). Sort w, c, -4 in descending order.\nAnswer: c, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/19, -9, 823, 0.5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -21. Suppose -w*f + 575 = 3*n + f, -374 = -2*n - f. What is the remainder when n is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -474 - -158. Let k = x + 372. What is the smallest common multiple of 16 and k?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*u - 3*u + u + 16*u**2 + 7*u + 8 + 4*u**3 = 0. Calculate u.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*j + 29*j - 336. What is the smallest common multiple of j and 84?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8423.7 + -1.7.\nAnswer: 8422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + -5*(3 + sqrt(304) + -2*sqrt(304)) + -6*(sqrt(304) + sqrt(304)*-2)*1).\nAnswer: -36 + 88*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009879 to four dps.\nAnswer: 0.0099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*q**2 + 7 - 3 - 6 + 19 wrt q.\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 7:25 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1000?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -154, 2, 9, -2277 in increasing order.\nAnswer: -2277, -154, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 43810?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109822?\nAnswer: 2, 43, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 5171*u**4\/4 - 7*u**2\/2 - 20*u - 3791. Find the second derivative of s(z) wrt z.\nAnswer: 31026*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 - -1.4. Let i = x - 0. Let m = i - 6. What is the third biggest value in -0.2, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1256? (a) 0.3 (b) -0.4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.53 take away -2138283?\nAnswer: 2138287.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64824 divided by -296.\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 5*g**2 - 10850*g + 21680 = 0.\nAnswer: 2, 2168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-288))\/((-8)\/(-4)*11\/(-198)*6)?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55336091?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (196 - 146 - 155 + (0 + 0 + 2)*(-1 + 0 - 1))*(0 + 2*x**2 + 0) as a*x + n + u*x**2 and give u.\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-2))\/((-3)\/(-64)). Let f = 2753\/36 + -734\/9. What is the common denominator of (-2)\/s*888\/10 and f?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 18 = -2*d. Let t be d\/1 - -3 - -3. Solve v + v = t for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 85752 and 85752 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/2)\/(-1)*(5\/2)\/((-1825)\/3285).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24772188.3 rounded to the nearest 1000?\nAnswer: 24772000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2798207 divided by -1.\nAnswer: -2798207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 561 and 275.\nAnswer: 14025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 455751355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-5)*50\/(-10)*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 6577 = -4103. Let m = 1803\/1426 + -26686414\/4991. Let h = w + m. What is the common denominator of -85\/12 and h?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 4. Suppose 3*p + 0*p = 6. Suppose -7*k = -p*k - 15. Solve -5*v - 7*c - 11 = -k*c, -5*v = -r*c + 18 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 10:13 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6123319 >= 6123311?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(0 - (-2)\/(-3)). Let l be (y*1)\/((-24)\/(-40)). What is the derivative of -1 - 3 - i**2 + l*i**2 wrt i?\nAnswer: 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (56\/21)\/(120\/1305). Solve 3 = -y*u + 26*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/6*2*-4. Let j = 7 + g. Solve 3*v = -4*d - 0*v + 13, 15 = j*d + 4*v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 9:33 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -2.8. Let i = 7936 + -7937. Which is the closest to i? (a) -0.05 (b) j (c) -8\/7 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 143623 - 0.125\nAnswer: 143622.875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2597185, -5194323, -7791461?\nAnswer: -10388599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 72\/7 - (2 + (-24)\/14). Suppose 5*s + w = 30. Let 4\/3*c**3 - 2\/3*c**s - 8\/3 + 2*c**2 - 8\/3*c = 0. Calculate c.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 942, 943, 944, 945, 946, 947?\n\"Answer: q + 941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 48 = -f. Let v = -20 + f. Solve 3*y = v*s + 16, s = -3*s + 5*y - 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 3*m - 2*m + (-4 - 2*m + 4)*(-3 + 2 + 4) - 47 + 31*m + 47 - m + m + m)*(-23*m**2 + 24*m - 24*m + (-4*m + 0*m + 2*m)*(m - 4 + 4) - 4 + 4 + 4*m**2).\nAnswer: -504*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 775256.\nAnswer: 3876280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 332\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 8*u**2 - 19*u - 198. What is b(-6)?\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 8*a**2 - a - 3. Let w be s(-8). Suppose i - w = -8. Let u(x) = 4*x**3 - x**2 - x - 1. Let o be u(-1). Put 5, o, i in increasing order.\nAnswer: o, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498 is divided by 246.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24000041 by 1.\nAnswer: -24000041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -186 - -378. Calculate the remainder when d is divided by 41.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -22111.32 and 5489.57.\nAnswer: -16621.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 9:09 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8200 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71188?\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5*m + 4 + 4, 0 = 3*b + m - 94. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -876*g - 9*g + 5310 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.09963 times -0.039426\nAnswer: -0.00392801238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 97, 95, 93?\n\"Answer: -2*v + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 4 - 2. Let c(l) = l**3 - 7*l**2 + 8*l - 52. Let p be c(8). Let a = p - 71. Solve w = 3*u - 6*u + 4, a*w - 20 = d*u for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1379976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-800)*-20*-3 + (-58)\/10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 217*i**2 - 7*i - 3. Let t(f) = -4*f**2. Determine q(t(n)).\nAnswer: 3472*n**4 + 28*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q + 13. Let m be t(-5). Suppose -b = -4*n - 17, -2*n - m = -4*b - 6*n. Solve b = -7*g + 2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - -17. Suppose -4*j = j - 4*d + 12, -2*j - 3*d - 14 = 0. Let s be 58 - (-3 - j) - 2. What is the highest common factor of h and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**2 - 3*g - 9. Let r(o) = -o**3 + 15*o**2 - 14*o - 4. Let x be r(14). Calculate the remainder when 101 is divided by t(x).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 1075.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40147314 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + 70 + (-6 - 21).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12060 and 54120?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mv when two letters picked without replacement from {m: 4, v: 7, c: 1, w: 2}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*u + 5*u - 5472. What is the highest common factor of 190 and u?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 60, 106, 152?\n\"Answer: 46*j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2680 and 513740?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2725665397 to the nearest integer?\nAnswer: 1397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4*w**2 - 20*w - 3597. Calculate s(25).\nAnswer: -1597","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1191 - 277 + 2174 = -2141*i - 1194 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 445822?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-4))\/(672\/(-238) + 0 - -3)\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l**2 - 9*l - 41. Let q be x(-6). Let v = 500 - q. Calculate the remainder when v is divided by 87.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m. Let t(u) = -5*u + 9. Let i be t(3). Let s be 6\/4*(-8)\/i. What is c(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 220 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44113 or 44131?\nAnswer: 44131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1309)\/924)\/((-1)\/4*2)?\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.39 + -0.61. Which is bigger: v or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**4\/4 - p**3\/3 + p**2\/2 - 1. Suppose 5*u = -u + 12. Let z(q) = 3*q - u*q**2 + 3*q**3 - q**2 - q - q. What is 2*w(y) - z(y)?\nAnswer: -y**3 + y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*u**2 - 1)*(0 + 2*u + 0)*(-29*u - 2*u - 5*u).\nAnswer: 144*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1290*g - 1282*g = -2562*g + 430 for g.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 59.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 85374 and 1124091.\nAnswer: 6744546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 19 + 16 = -2*f, -3*f = -j - 10 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**5\/10 - 2*g**4\/3 + 2*g. Factor t(y).\nAnswer: 2*y**2*(y - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three fifths of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55792 and 148?\nAnswer: 2064304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50193 and 10152648.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*a + 394841 = -a, 3*q + 19*a - 394871 = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 70) + -66 - -49.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.006 - 11.206. What is the third smallest value in t, -57, 0.3, -1\/10, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j - 4. Let x be l(6). Let h = 15 - x. Solve 0 = 5*k - h - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**3 - 14*u**2 + 5*u + 10. Suppose -216*f - 492 = -298*f. Calculate a(f).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -93.015.\nAnswer: -465.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.3, 0.2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1590 and 40470?\nAnswer: 2144910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-48)\/9 + 2\/6. Let j(z) = -2*z + 25*z**2 - z**3 + 18*z**2 + 23*z**2 - 73*z**2. Let h(y) = y**3 + 4*y**2 + y. Let k(d) = f*h(d) - 3*j(d). Factor k(i).\nAnswer: -i*(i - 1)*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -729 + 731. Solve t*a - 17 = -3*u, 4*a - u + 0 = 13 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 16148?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**5 + 10*u**4 + 14*u**3 + 6*u**2.\nAnswer: 2*u**2*(u + 1)**2*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 - 59634*w + 1074384.\nAnswer: -3*(w - 18)*(w + 19896)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = -4*u - 5*f, f - 79 = -5*u + 127. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**3 + j**2 - 6*j = 0. What is j?\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 361 + -97. Calculate the highest common divisor of 24 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19 + 3c69b4?\nAnswer: 3c6a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -23044, -23043, -23042?\n\"Answer: d - 23045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4) + 243\/18. Let c = k - 4. Suppose 10*r = c*r. Solve -5 = 5*j - r*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -274 - -6?\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rcsgccfrgucr. What is prob of sequence ggr?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzb when three letters picked without replacement from {b: 2, v: 1, r: 1, z: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 - 5*a**3 - 9*a**3.\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -14050 > -1138028\/81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(1539) - (sqrt(1539) - 2*(-2 + sqrt(1539))))**2 + (0 + -2*sqrt(1539))*6.\nAnswer: 36*sqrt(19) + 6172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 4:03 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 636*-0.05\nAnswer: -31.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(1\/3))\/k*k)**(-1\/5)*(k**(-1)\/k*k)\/(k**0*k))**(-28) assuming k is positive.\nAnswer: k**(896\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.0522 or -2\/61?\nAnswer: 0.0522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 4 - 46*m**3 + 3 - 115*m**3.\nAnswer: -161*m**3 - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 7:41 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -41. Suppose o = 2*o - 12. Let v be 2\/8 + 141\/o. Calculate the greatest common factor of v and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooopooooooooooooo. What is prob of sequence oooo?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)*-2*-2.\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmys when four letters picked without replacement from sgygsgmmmmgmmrg.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1089 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 128 + -127. Suppose -z - 5*v - 16 - 12 = 0, 3*v = 5*z + 56. Let x = -18 - z. Put x, y, 5 in ascending order.\nAnswer: x, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(3\/((-9)\/15) + -2 + 4)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1112, -5, -3, 140, -1 in increasing order.\nAnswer: -1112, -5, -3, -1, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(21\/(-14) - -9). Let r = 29.9 - 30. Sort r, k, 5.\nAnswer: k, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 4597*u - 4600*u - 24, 20 = -4*u + 2*h for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -w**4\/8 + w**3\/3 - 2*w**2. Let t be r(1). Let p be 7 + (t*6)\/2. Sort 2, 5, p in increasing order.\nAnswer: 2, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/7 (b) -1\/5 (c) 1 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2. Let j(q) be the third derivative of q**4\/8 + 14*q**2. Calculate z(j(y)).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 6*r - 6. Suppose -20 = -5*z + 30. Let k = -7 + z. Suppose 4*a + 20 = 4*o, k*a = o - 7 + 2. Let f(h) = -7*h + 7. Determine o*f(g) + 6*d(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**4\/4 - v**3\/6 - 4*v**2 - 3817*v. Let s(d) = 7*d**2 - 3*d - 17. Give 5*o(t) - 2*s(t).\nAnswer: t**2 + t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 219362967 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2230 is divided by 852.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1426202156*h**2 - 376428213*h wrt h.\nAnswer: -2852404312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x - 603 = -504 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47533044, -0.1, 2 in decreasing order.\nAnswer: 2, -0.1, -47533044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 291*r - 896. What is j(3)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2 - s + 2 + 2*s. Give x(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1.1 (b) 0.1 (c) 2\/5 (d) 2\/33 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 83.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1881, 3716, 5551?\nAnswer: 7386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + sqrt(104)*6*-2)\/(sqrt(32)\/(sqrt(44)\/sqrt(11))).\nAnswer: -11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -630\/689 + -2689816\/7579. Let w = 356 + z. Sort w, -3\/10, -0.1.\nAnswer: -3\/10, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 8*u - 20. Suppose 57*k = 48*k. Solve -3*s = 2*q - 21 + u, k = 3*q + 2*s - 18 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 10, 2*d - 2*m - 541 = -m. Let a be 3 - ((-42)\/d + (-11)\/13). Solve i - a = -0, 2*z + 5*i = 20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x*(x*(x**(-3)\/x)\/x)\/x*x)*x**3*(x**(1\/5)\/x)**(-14))**(-1\/4) assuming x is positive.\nAnswer: x**(-43\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and -0.011351148?\nAnswer: 5.011351148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 654 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 2. Let z = -190 - -193. Let b be ((-1)\/z)\/(6\/(-72)). Give s(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/5 + 29031*p\/5 - 159770108\/5.\nAnswer: -(p - 21652)*(p - 7379)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of 0*x**3 + 0*x**4 + 0 - 22*x**2 + 0*x + 1\/35*x**7 + 1\/10*x**5 + 1\/6*x**6. Suppose f(t) = 0. What is t?\nAnswer: -3, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.72*0.1\nAnswer: 0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1566?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 9 - 1)*(121*j**3 - 447*j + 447*j).\nAnswer: -1210*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 90527134 - 90527119.00000112. Let b = p - 15. What is b rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 218780\/21 or 10417?\nAnswer: 10417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -195 + 197. Solve 3*d - s = -7, -d - i = 4*s + 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.3 and 930 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.4? (a) 0 (b) 3\/5 (c) -5970 (d) -5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 d when two letters picked without replacement from uawaduduuwuutuu.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppjpvppjjpfhjvpvvvvp. Give prob of picking 2 f, 1 p, and 1 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*v + 40 = -152*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-30)\/8)\/((-24)\/256). Let d = 11 + a. List the prime factors of d.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012026767 rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2318666 + 59.14?\nAnswer: -2318606.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1151*o + 4947*o + 2217*o.\nAnswer: 6013*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81 - -137. Suppose -61*u + j*u = -2110. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 89 - -58. Calculate the greatest common divisor of 63 and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8520 and 628170.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1 - 21*n**2 - 91*n**2 + 157*n**3 - 15 + 14 wrt n.\nAnswer: 942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 1, 123, -6.\nAnswer: -6, -3, -2, 1, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 26*s + 3. Let n(u) = 131*u + 15. Let a(c) = -2*n(c) + 11*r(c). What is the units digit of a(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((10\/25)\/(3\/45))\/2. Suppose 0 = -2*j - 2*w + 10, 4*j = 3*w - w + 14. Solve 0 = -3*r + j*r - 5*d - 15, -3*r = -3*d + n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*18\/(-8)*-6. Calculate the highest common factor of p and 459.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 821129 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5189 - -5622. Solve -v = -2*y - 441 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (30 + -14 - -6) - -4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 46592 = -5*y, -4*y + 41826 = 4*u - 4770. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z. Let a(t) be the second derivative of 0*t**2 + 13\/12*t**4 + 0 + 0*t**3 + 8*t. Give p(a(v)).\nAnswer: 26*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifteen sixteenths of a day?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 + -29. Suppose 0 = v + 3, -v = -4*i - 2*v - k. Let c be 12\/2*1\/(-2). Put i, -4, c in decreasing order.\nAnswer: i, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110.269 - 8416\nAnswer: -8305.731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.53 - 0.56. What is n rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 2, 2734 in decreasing order.\nAnswer: 2734, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (-1 - -57 - (-23 + 15 + 13)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54.2 + 57.2. Suppose 7*r + 3*x = 4*r + 3, -4*r + 2*x + 28 = 0. Which is the third smallest value? (a) h (b) r (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llt when three letters picked without replacement from {j: 1, t: 4, l: 7, n: 1}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o**2 + 236*o - 554. List the prime factors of k(69).\nAnswer: 2, 17387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -172616 - 1?\nAnswer: -172617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -315220 to the nearest one thousand.\nAnswer: -315000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6189.3 milligrams in kilograms?\nAnswer: 0.0061893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -418670*u**3 + 371771*u.\nAnswer: -2512020*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-3*(0 + sqrt(448)*1)*4*5)**2*-1.\nAnswer: -14515200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36641 + -36513. Solve -b = -21*h + 5*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16208345 divided by 16208345?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**5\/5 + 584*x**4\/5 - 23544*x**3\/5 + 164016*x**2\/5 - 81972*x + 342792\/5 = 0.\nAnswer: 2, 3, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 - 2) - (3 + -7 + -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 184*o**4 + 70*o**4 - 51*o**4 + (2*o**4 + 3*o**2 - 3*o**2)*(-3 + 5 + 0) as j*o**3 + v*o**2 + g + h*o + w*o**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five sixths of a day?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3699.7 - 3533. Let k = 159 - a. Let u = 3.9 + k. Round u to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1359500 * 345\nAnswer: -469027500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 11*b**2 + 11. Determine y(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 10, -2\/7, 3.56?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11d + a0a?\nAnswer: b29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72453, -290353, -653511, -1161921, -1815577, -2614473, -3558603?\nAnswer: -4647961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4 - 1064*c**3 + 2080*c**2 + 21152*c + 25440.\nAnswer: 2*(c - 530)*(c - 6)*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r + 2. Let l(j) = 27*j + 109. Let p(z) = 6*g(z) + l(z). Differentiate p(a) wrt a.\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-33) - 582\/(-1067)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11804, 46964, 105566, 187610?\n\"Answer: 11721*g**2 - 3*g + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*k**4 - k**5 + 15*k**5 - 3*k**4 - 4*k**2 wrt k?\nAnswer: 840*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 0.703.\nAnswer: -0.703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 65770 <= 131539\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxsssxsxs. What is prob of sequence sx?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15501 - 15508. Sort -4, -3\/259, 3\/7, j in ascending order.\nAnswer: j, -4, -3\/259, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 12 - 15)*(-2 - 2*k**3 + 2*k**3 - 2*k**4)*(-k - 3*k + 5*k).\nAnswer: 52*k**5 + 52*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.12 + 1.32. Let i = 6 + -8. Let s = -0.009 - -0.109. Sort i, s, x in decreasing order.\nAnswer: x, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 192380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 4*c + 34671160, 2*c + n + 21142893 = 3807301. Round c to the nearest one hundred thousand.\nAnswer: -8700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*v = 95*v - 672. What is the remainder when ((-22)\/(-3))\/((-14)\/v) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 13543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i - 25*i = -44*i - 5. Solve 2*f + i = r, 3*f + 4*r + 5 = -2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*q = -7*q + 165. Let k(c) be the first derivative of 1\/6*c**q + 0*c**2 - 1\/2*c + 12. Factor k(o).\nAnswer: (o - 1)*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1277805490?\nAnswer: 2, 5, 13, 9829273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*y - 20 = -70*y, -4*y = -c + 19 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66547*z - 13 = -66548*z - 2*i, -16*z - 4*i = -96 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48689\/130 + 4722\/13. Calculate the common denominator of m and 1\/(-3)*-4*15\/(-24).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12016430 (base 8) in base 9?\nAnswer: 4846136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 10:27 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 - 2*h**2 - 2*h**2. Let t(q) be the first derivative of q**5\/120 + q**3 + 1. Let j(n) be the third derivative of t(n). What is j(g(x))?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4.21 * -0.5\nAnswer: 2.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.177 + 0.023. Let o be (4\/(-1) - 5)*(-2)\/42. What is the third biggest value in -4, 0.14, g, o?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1092, -1 in descending order.\nAnswer: 4, -1, -1092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + (-1)\/3*9. What is the smallest value in -1\/11, 0.3, -2\/7, j?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 173 - 169. Solve -2*b + 4*k + 24 = 0, 0*b + 4 = g*b + 3*k for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-2) - (62\/(-2) + 2). Solve 0*f - 2*f - 15 = 5*j, 5*f - b = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**3\/3 - 13*j**2\/2 + 16*j - 54. Give f(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 5\/27386?\nAnswer: 5\/27386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, s: 11, h: 2}. Give prob of picking 3 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -2*h**7\/35 + h**6\/120 + 41*h**4\/3 - h**2 - 195. Find the second derivative of z(m) wrt m.\nAnswer: -144*m**2 + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901386856 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 29 (b) -6\/5 (c) -5\/3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 611 + -978. Let z = 686 + m. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 4*p**2 + 29*p. Calculate the remainder when t(-9) is divided by 74.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 7*i - 1. Let b(p) = -p - 2. Let y be b(-9). Let o be w(y). Let a(u) = -7*u**2 - 2*u - 4. Let k(t) = -t**2 - 1. Give o*a(l) + 5*k(l).\nAnswer: 2*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-945))\/(3830\/(-2681)).\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 77 + 91 = g - 0*g, -38*n + 3*g = n - 2*g + 70 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.18299853 - -0.183. Round s to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-4)*(7 + 3). Let v(a) = a**3 - 5*a**2 + a + 2. Calculate the remainder when 20 is divided by v(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 2:47 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -6. Let h be 6*(m\/(-3) - 1). Suppose 2*v - 1 + 21 = -5*u, 0 = -u + v + 3. Which is greater: h or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a second in milliseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - o + 14 - 3 = 0, -6 = 2*t - 2*o. Let q be (9\/t - -3)*-2. Suppose -2*l = q*w - 5*w, -2 = -2*w. What is the highest common divisor of l and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 25, 39, 51, 61, 69, 75, 79?\n\"Answer: -m**2 + 17*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68\/3 - 23. Put -0.03, 1, 0.04, d in descending order.\nAnswer: 1, 0.04, -0.03, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10420427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42.5 + 42. Suppose 2*i = -i + 15. What is the biggest value in -4, h, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-75)\/(-6) - (-3)\/(-2). Suppose 14 + q = -5*z. Sort z, 1, -4.\nAnswer: z, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -19996, -19980, -19964?\n\"Answer: 16*b - 20012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60974847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.709054 millimeters to kilometers.\nAnswer: 0.000003709054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85 - 51. Calculate the remainder when i is divided by (-2)\/3*6*70\/(-40).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1112229.\nAnswer: 3, 123581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 - 1317264*m + 5269104.\nAnswer: -3*(m - 4)*(m + 439092)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/3 - 476*g\/3 - 28322\/3.\nAnswer: -2*(g + 119)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/5 - 3*w**2 - 3*w\/5 + 3.\nAnswer: 3*(w - 5)*(w - 1)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -109*y**2 - 2*y. Let f(m) = -3*m + 24. Determine h(f(w)).\nAnswer: -981*w**2 + 15702*w - 62832","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrriirrrir. What is prob of picking 3 i and 1 r?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5\/72 - -169\/360. Which is the nearest to s? (a) 2\/3 (b) -4\/3 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-32)\/(-20))\/4*-2*10. Let v be (21\/(-9) - -3)*-6. Let w be v + -1 - (7 - 4). Are w and s nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/3 + (-10)\/30. Suppose 5*b = -p*b - 45000000. Round b to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14315297 is divided by 1961?\nAnswer: 1958","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*617 - (2 + 0 + -2). Suppose -8*j + x + 1491 = 0. List the prime factors of j.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -11 - 24. Let h = n + 40. Suppose h*z - 6 = 14. Solve s + 2 = z for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 24. Let k = 125.69 - -2.31. Let y = k + -127.61. Which is smaller: d or y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51340454 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + -3216101?\nAnswer: -3216107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 115023763, 230047525, 345071287?\n\"Answer: 115023762*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/4 of a millimeter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 4*b**2 + b + 7. Let v be p(-4). Let l be (-1)\/(v\/9) + 5*495. What is the units digit of l\/28 + (-4)\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7488 and 88920?\nAnswer: 711360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, a: 5, i: 5}. What is prob of sequence ippi?\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*n**2 + n + 8*n**2 - 1 - n**2 to the form l*n**2 + f*n + h and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6b4 + -575?\nAnswer: 13c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 13 - 7. Suppose -t*c = 27 - 43. Suppose -2 + c = 3*r - 2*p, -p - 1 = 0. Solve -5*q = -r*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1396535 by -3.\nAnswer: -1396535\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*q - 27*q**2 - 36*q + 26*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2372)\/84 + 29 - 4\/6.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -362, -808, -1550, -2588, -3922, -5552, -7478?\nAnswer: -9700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 + (-1837)\/121)\/((-250)\/550).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -0.1 (c) -2 (d) -294 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 281 + 1260640.1488.\nAnswer: 1260921.1488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -q**3\/3 - 9*q**2\/2 - 6*q - 23. Determine f(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*l**4 + l**4 - l**4)*(-2 - 1 + 4)*(-81 + 138 - 134) in the form k*l**2 + h*l**3 + b*l**4 + y*l + v and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*(sqrt(847) + sqrt(847) + -2 + -5 - 1*(2*sqrt(448) + sqrt(448))))**2.\nAnswer: -1925 - 700*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -6*u - 5. Let o be p(3). Let v = o - -27. Suppose -v*n - f = -25, n + 4*n = 4*f + 26. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 12\/25 of a tonne?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 847237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcw when three letters picked without replacement from {c: 3, g: 1, w: 1, d: 4, x: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35710840.\nAnswer: 2, 5, 11, 277, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 j when two letters picked without replacement from {b: 2, l: 4, j: 7}.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 13 = -5, -v = 4*n. Let y be ((-10)\/6)\/(4\/(-3)). Let m = -0.16 - 2.84. Which is the closest to n? (a) 3 (b) m (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82*v - 1 - 36*v - 2*v**3 - 15*v - v**2 - 36*v + 8*v**3 to z + o*v + b*v**3 + g*v**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 2, -n - d - 13 = -9. Which is smaller: n or 1\/19?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j**2 + 17*j. Let v(c) = c**2 + 4*c - 2. Let u(x) = 4*x**2 + 14*x - 7. Let y(b) = -2*u(b) + 7*v(b). Calculate n(y(w)).\nAnswer: -4*w**4 - 17*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**2 + 9*h - 54. Let v(g) = -g**2 + g + 2. Let k(s) = m(s) + 5*v(s). Let w be k(5). Solve -3*d + 8 = -4*j, -5*d - 5 = 3*j + w for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nuy when three letters picked without replacement from {n: 1, u: 1, g: 1, z: 2, y: 1, k: 2}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3 + (2 - 1 + 0)*(2 - 1 - 3))*(-345*w**2 + 302*w**2 + 884*w**2).\nAnswer: -841*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by -91.\nAnswer: -24\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 - 139 = 5*j. Let w(i) = -83*i**3 + 2*i**2 + 7*i + 6. Is 5 a factor of w(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 5) to base 7.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 134472 and 780?\nAnswer: 672360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1769?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25385?\nAnswer: 5, 5077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 - 42 + 108 - 48 - 39939*v as s + u*v and give u.\nAnswer: -39939","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 64540171513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a kilometer in meters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of 1\/24*t**4 - 4*t**2 + 0*t**7 + 0*t**3 + 5\/336*t**8 + 0*t**5 + 0*t + 0 + 0*t**6. Find the second derivative of f(b) wrt b.\nAnswer: 100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -7*g**6\/120 + g**5\/15 - 7*g**4\/24 - g**3\/3 - 3380*g**2. Let s(u) = u**3 - u**2 + u. What is -m(r) - 4*s(r)?\nAnswer: 3*r**3 + 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10879 + -10883. Let q(t) = -24*t**2 - 5*t - 9. Let c(g) = 8*g**2 + 2*g + 3. What is s*q(b) - 11*c(b)?\nAnswer: 8*b**2 - 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 l when four letters picked without replacement from lzgllzyzggzz?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 13 = -r, 17*r - 3*g + 1 - 9 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6632 in -30, 8, -2\/7?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 4, 19, -561 in ascending order.\nAnswer: -561, -3, 4, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a day in hours?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2309*d - 228*d + 403*d + 901*d.\nAnswer: 3385*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 + 0*r + 1\/6*r**3 + 0.\nAnswer: r**2*(r + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/6 + 4517*z**2\/6 + 62947*z\/6 - 142595\/2.\nAnswer: (z - 5)*(z + 19)*(z + 4503)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -4. Let b = r + -0.9. Let j = 1356.8 + -1357. What is the smallest value in -0.01, j, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.94 + 5. Let y = 1.94 + x. What is the closest to 0 in y, -2\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -633113.\nAnswer: -6\/633113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.016, -0.4, 0, -3\/7?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 13*c**7\/42 - 2*c**3 + c. What is the second derivative of a(b) wrt b?\nAnswer: 260*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 6*y + 65 = -4*u, -4*u = -4*y + 64. Let d = u + 25. Solve 11 = -m + 3*t, 2*m - 4*t = -t - d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1732101117?\nAnswer: 3, 17, 33962767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8351\/33 - 253. Which is the closest to 1? (a) -2 (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -22006, -44023, -66066, -88147, -110278, -132471?\n\"Answer: -2*g**3 - g**2 - 22000*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -428, -412, -394, -374, -352, -328, -302?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -17b (base 12) to base 9\nAnswer: -285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -1\/5, -38, -3\/4, -389 in decreasing order.\nAnswer: -1\/5, -2\/5, -3\/4, -38, -389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 7*m - 4. Let y be w(2). Let t(l) = 0*l**2 + 0*l**2 - l**2 - 12*l + 24*l - 24. Let a be t(y). Sort 0, -5, a, -2 in descending order.\nAnswer: 0, -2, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, d: 1, g: 3}. Give prob of sequence gd.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(9\/6 - 0). Solve 0 = 2*l + x, 24 + 8 = -4*j - 4*l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of 3*n**8\/112 + 8*n**7\/35 + 3*n**6\/5 + 3*n**5\/10 - 11*n**4\/8 - 3*n**3 - 115*n**2. Solve g(r) = 0.\nAnswer: -3, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -116*g*j**2*n**2 - g*j**2 - g*j - 2*j + 3*n wrt n?\nAnswer: -232*g*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1518 = -3*j - 3*g, 2*j = 4*g + 259 + 777. Suppose 0 = -l - 5*m + 111, -l = -5*l + 2*m + j. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(8\/(-12)) + 4. Solve 8*m - 3*m - b - g = 0, 13 = m + 3*b for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 305016300?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 47 = -5. What is the remainder when 24 is divided by (k\/8)\/(2\/(-4))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7436435.\nAnswer: 5, 31, 47977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4067 and 332?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14505 (base 6) in base 14?\nAnswer: bd7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 8*b - 3. Let x(t) = -7*t - 40*t + 28 - 10*t - 7. Let g(k) = -15*c(k) - 2*x(k). Find the first derivative of g(w) wrt w.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 9. Suppose 6*x - x + 45 = w*c, -66 = -4*c - 2*x. Suppose 20*d = c*d + 210. Calculate the smallest common multiple of d and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(-15)*(-18)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*h + 1)*(2 - 4 + 4) + 63361*h + 29 - 63381*h - 1 + (0 - 1 + 5)*(-4*h + 3*h + 0*h).\nAnswer: -28*h + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5749967 + -12216967. What is g rounded to the nearest one hundred thousand?\nAnswer: -6500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400*p + 6 = 398*p, v - 3*p - 16 = 0 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h - 2*h**3 - 3*h + (-8 + 4 - 4)*(h**3 + h**3 - 3*h**3).\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = n, 25 = 4*q - q - 4*n. Suppose -2*u + 5*s = 3*u + 10, 0 = 2*s - 10. Suppose -u*p = -44 + 8. Calculate the highest common factor of q and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, l: 3, n: 1, f: 1, w: 2}. Give prob of sequence fwlw.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*k = -303. Let v = k + -97. Solve -i + v*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4*j - 3922 = 0, 0 = -0*m + m - 4*j - 778. Is 6\/15 + m\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -11. Let a = -3.28 - c. What is a rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34893 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -u**2 + 476. Let q(o) = -46*o. Give q(z(j)).\nAnswer: 92*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/6*3 + -1. Suppose 6*c - 5*t - 150 = c, n = c + 3*t - 50. Let g = c + -25. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 7*a - 7. Let w be m(-5). What is the derivative of 0*v**3 + 3 + 2*v**w - 4*v**3 - 1 wrt v?\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 13971*p + 20341785. Determine f(-1456).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23230*m*q + 16428*q wrt m?\nAnswer: 23230*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a. Let b(u) = -23*u**2 - 9934. Give b(i(m)).\nAnswer: -23*m**2 - 9934","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -310272\nAnswer: -7\/155136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*z**3 + 3*z**2 + 478 wrt z.\nAnswer: 21*z**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.192 * 0.2.\nAnswer: 0.0384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -17*d - 525. Let n(o) = -6*o - 175. What is -11*n(l) + 4*z(l)?\nAnswer: -2*l - 175","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 101000?\nAnswer: 101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 2:50 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 102 = -5*x, -2*x - x - 5*l + 46 = 0. Let o be 9\/(-4 - -1) + x. Solve 3*z - 7 = -o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -0.01, -2\/9, 13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -538*u**4 - 80*u**2 - 7*u?\nAnswer: -12912*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -11*v**2 + 47*v - 10. Let t(q) = -3*q**2 - 3*q - 3. What is k(b) - 2*t(b)?\nAnswer: -5*b**2 + 53*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (2 - (8 + -16 + 9))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -233827\/9 + 25981. Let g(q) be the third derivative of -5\/27*q**4 + 0 + 0*q - 7\/540*q**5 + k*q**3 + 45*q**2. Factor g(w).\nAnswer: -(w + 6)*(7*w - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165.5424 days in milliseconds?\nAnswer: 14302863360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/1770 and 81\/10.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/113391 and 65\/8901?\nAnswer: 2607993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1766.\nAnswer: 2, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5*h - 2, d - 3*d + 2*h + 12 = 0. Suppose 0 = 5*v - v - 8. Solve -a = d*w + v*a + 7, 2*w + 11 = a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**2 + 4*u + 15. Is c(9) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.2, 1\/6, 0.199391, -1, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 5816.8197 to the nearest integer.\nAnswer: 5817","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2299) - (sqrt(2299) - 1*sqrt(2299)*-1)) + -1 + -2*sqrt(2299)*3 + (sqrt(2299) - 6*-1*sqrt(2299)) + sqrt(2299) + sqrt(2299))*6)**2.\nAnswer: -1584*sqrt(19) + 331092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ulp when three letters picked without replacement from {q: 3, l: 2, v: 4, p: 6, u: 3, i: 1}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(20\/9)*((l\/l**(-6\/5))\/l)\/l*l)**(-37) assuming l is positive.\nAnswer: l**(-5698\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 4*m + 2 = -20, -4*w + 20 = 4*m for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 116.260502 rounded to one dp?\nAnswer: 116.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -11*b**7\/945 + 8*b**6\/135 - 19*b**5\/270 - b**4\/54 + 53*b**2 - 8. Suppose p(x) = 0. Calculate x.\nAnswer: -1\/11, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/325 and 41\/50.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**5\/60 - 3*a**4\/8 - 11*a**3\/6 - a**2 + 52*a. Let m be b(-4). What is the highest common factor of 99 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) 0 (b) 132 (c) 864\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24938944?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 0 + 4*o - o - 3 + o. Let y be i(2). Suppose -2*z = -5*l + 201, -z = y*l + 4*z - 180. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from hhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xu when two letters picked without replacement from {l: 3, x: 1, o: 3, p: 2, u: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*a = -46 - 274. Solve a = -4*m + 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3157382709?\nAnswer: 3, 13, 71, 373, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -395\/28 + 104\/7. Put n, 10, -99 in increasing order.\nAnswer: -99, n, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -21, -31, -39, -45, -49?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -2*b - 2*l, -2*b + 5*l + 135 = 35. Let a(d) = 2*d**2 + 7*d + 4. Let p be a(-4). Calculate the highest common divisor of b and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*i - 134*i = 15, -4*h + 2*i = 22 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -251 (base 14) to base 12\nAnswer: -327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o. Let m(j) = 4*j**2 + j - 1. Let c be m(1). Let y(p) be the first derivative of 3*p**2 - c*p**2 + 5 - 15 + 4. Determine i(y(l)).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*u + 11 = 0, 3*l - 5*u + 7 = -3*u. Let r = -0.12 + 5.12. Which is the closest to l? (a) r (b) 2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 3*l + 5*l, 2*p - 2*l = 10. Find the first derivative of -p - 4 + 5*u - 6 + 3 wrt u.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i - 9*i**2 - 1 - 126*i**3 - 1 + 5*i**2 + 124*i**3 - 10*i**2 to r*i**2 + s*i**3 + a + u*i and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*y - 28 = -71*y. Suppose y*p + 3779 = m, 2*m - 3*p = 3884 + 3689. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -15.1. Let n = -0.1 - i. Let m be (6 - 4) + 4\/(48\/(-21)). What is the nearest to 0.1 in -1\/8, n, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 430613?\nAnswer: 223, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 16) in base 3?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 880 divided by 10?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o*o\/(o*o\/(o*o*o*o**(-2\/17)*o*o*o)))\/o))**24 assuming o is positive.\nAnswer: o**(-1584\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-2) - (0 + -86). Let c = 61\/110 - -2008\/495. Find the common denominator of c and n\/2 + 2\/1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4727 and 20155?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 786 divided by -6\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.035666876 - 45.8191.\nAnswer: -45.854766876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/4624 and 76\/1797.\nAnswer: 8309328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 25\/18536 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*1*(-19 + 6 - -10). Solve -t + 0 = -3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 4*l - 4. Let i be j(-2). Let r = -32 - -32. Suppose -4*y = 3*b - 1, i = -r*b - b + 3*y + 9. Does 2 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 j when two letters picked without replacement from {j: 2, p: 5, r: 3}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 8:02 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 - 50. Suppose f = -0*i - i - 3*s + 254, 2*s = -i + 255. What are the prime factors of i?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 3)*(-2*g + 5*g - g) + (-14 + 51 + 29)*(2*g + 5*g - 2*g) as y + j*g and give j.\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f**2 - 59761746184*f + 59761746184*f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate w**3 + 1605*w**2 + 12219*w - 20070651 with respect to w.\nAnswer: 3*w**2 + 3210*w + 12219","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 185 - 131. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.068145 minus -0.5642?\nAnswer: 0.496055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 3. Let r be 0\/((-2)\/2) - 7. Let i be g(r). Let b be 6\/18 + 40\/15. Solve i = -y + b*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 153118382 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((3 - 2) + 8)\/((-1)\/(-1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 240786333*v - 380463045 wrt v.\nAnswer: 240786333","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61335 divided by 18.\nAnswer: 6815\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-five thirds of a decade?\nAnswer: 2200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - -410. Suppose 3*m - 253 = -h - 0*h, 3*h + z = 5*m. Calculate the greatest common divisor of 63 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 2 - 2)*(-4*t + 5*t + 3*t) + 4*t**2 - t**2 - 2*t**2 - t**2 + 2*t**2 - 2*t**2 - 1 + 1 + 3*t**2.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1612568 a multiple of 824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1160075.\nAnswer: 5, 7, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 25562362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 22569 to the nearest 1000.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwyywyywewyyy. What is prob of sequence eyyy?\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/1005 and -83\/2412?\nAnswer: 12060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2679898 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -126*f**2 + 535*f - 27. Suppose 0 = z - 5*r - 196, 6*z = 2*z + 4*r + 768. What is the remainder when z is divided by h(4)?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*j\/j**(3\/4))\/j*j**(4\/3))**12\/(((j\/j**(4\/5))\/j*j)\/j*j*(j**1\/j)\/j*(j\/j**(1\/2))**(-2)) assuming j is positive.\nAnswer: j**(224\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*j - 679 = -148*j + 1139 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -6*l**2 + 35*l - 61. What is t(8)?\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300839?\nAnswer: 7, 11, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-4 + -1)\/15). Let q be (0 - 2)\/(2 + f). Solve -3*x + 2 = -q*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-8)*-4*0. Suppose 2*j - 634 = -x*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-609)\/(-28))\/((-6)\/16). Let u = i - -61. Find the third derivative of -11*n**6 + 161*n**4 - u*n**2 - 161*n**4 wrt n.\nAnswer: -1320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*-3*2)\/(sqrt(10)*2*-2) + ((sqrt(66) - sqrt(66)*-2)*-2)\/(-1*sqrt(864)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 187963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-3)*6 - -2. Let j be ((-3)\/g)\/((-3)\/(-18)). Let d = j + -4. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n**2 - 2*n + 1. Let w be -5 - (-3 - 5)*2. Let x(m) = -15*m**2 + 11*m - 5. Give w*k(i) + 2*x(i).\nAnswer: 3*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((2 + -4 + (sqrt(475) - sqrt(475)*-3))**2 + (-1*sqrt(475)*-2*6)**2)*-3.\nAnswer: -720*sqrt(19) + 684036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*n - 288*n = -193 + 653 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 6*o**2 + 5*o + 5. Let j be n(5). Let r be 34\/6 + (-7)\/(-21). Let x(v) = v**2 - r - 17*v + 12*v + 2. What is x(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of 4*p**3\/3 - 15*p**2\/2 + 3*p. What is the first derivative of z(j) wrt j?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1772086 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 2*w - 0*w. Let q(n) = 1. Let p(z) = -z**2 + 9. Let k(o) = w*q(o) - 2*p(o). Let v(l) be the first derivative of -7*l**2\/2 - 1. What is k(v(s))?\nAnswer: 98*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.04 + 0.04. Let j = -2 - m. Let x be (-1)\/(-2)*(-4)\/(-2). What is the second biggest value in -4\/5, x, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3017081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*1\/(-2)*-6. Suppose p + 191 = 5*i, d*i + p - 121 + 8 = 0. Let o be i\/4*(2 + 0). Solve 4*a - 20 = 8*a, -x = -3*a - o for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 2*b - 14, -4*b + 5 - 49 = -4*o. Let d = 4 + o. What is the greatest common divisor of d and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*m = 1 - 37, 3*z + 2*m = 46. Let f be 52\/z - 8\/(-28). Suppose -f*k + 13 = -j - 4, -5*j - 5 = -4*k. Solve p = j*u - 12, 3*p = 3*u - u - 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 2*j - 12. Suppose 4*z - 4 = -20, 0 = j*x + 3*z + 4. Solve -x*s = s - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**2 - u - 1. Calculate h(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**4\/12 - 3*m**2 + 58. Let s(r) = 7*r. Let p = -7 + 3. Let l(o) = -84*o. Let k(u) = p*l(u) - 49*s(u). Give c(k(n)).\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1, -5, 6\/1063?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 + 76190472*b + 152380932.\nAnswer: 3*(b + 2)*(b + 25396822)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 45224 + -44240?\nAnswer: 874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 105880963718 and 3.\nAnswer: 105880963721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 4:55 AM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 199572 in ascending order.\nAnswer: -5, 4, 199572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*z - 2734728 = -2738536 for z.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*j - 4*j**4 + 3 - 27*j - 2 + 2*j**4 - 2*j**4 + 2*j**4 + (4 - 2 - 3)*(-2*j**4 + 3*j**4 - 2*j**4).\nAnswer: -j**4 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + 0.09. Let v = g + 0.31. Let f = -3 + -1. Sort v, f, 1\/5 in descending order.\nAnswer: v, 1\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + (sqrt(343) - (sqrt(343) + -2*sqrt(343) + sqrt(343) + sqrt(343))) + 0)**2.\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 5*t**3 - 212625*t**2 + 30117135*t - 1068263515 = 0.\nAnswer: 71, 42383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15984.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4d347 (base 15) in base 16?\nAnswer: 3c54d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -6. Let b = -4.1252712 - -0.1252692. Let a = f - b. Round a to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**3 + 0*d**3 - 2*d**3)*(-4*d**2 + 89*d**2 + 6*d**2) + 3*d**5 - 2*d**5 - 5*d**4 + 4*d**4.\nAnswer: 92*d**5 - d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69350.72 hours to seconds.\nAnswer: 249662592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 3\/2306, 0.5, 2\/5, -5 in descending order.\nAnswer: 0.5, 2\/5, 3\/2306, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-14)*(-378)\/72*7*90\/(-189)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -25 + (33 - 7) - 35 - 31\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 229*f**2 - f + 1. Let k be l(1). Let z = -118 + k. Suppose 6*p = p - 10, -n + 3*p - z = 0. What is n rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-216)\/(-16))*-1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of y**2 - 811. Let x(r) = -7*r + 6. Let z(l) = l - 1. Let f(c) = x(c) + 6*z(c). Determine t(f(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1123, -16, 424 in descending order.\nAnswer: 1123, 424, 1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7103 + 7111. Let g = 2 + 0. Solve g*z = -2*j - 3*z - c, -5 = -3*j + z for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2511.347 to the nearest 10.\nAnswer: -2510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.89 + -0.3. Let y = 0.595 - l. Which is the closest to 1? (a) y (b) 0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 7 - 5)*(3 - 3 + 2*u)*(342 + 518 - 108) to j*u + h and give j.\nAnswer: 7520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**4 - 2336*s**3 + 684444*s**2 - 1361888*s + 679778 = 0.\nAnswer: 1, 583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + q - 81. Let c = -48 + 53. Let f = q - c. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*d*m**6 + 62*d*m**4 - 6*d*m**2 + 666*d - 4*m**4 - 4*m**2 wrt m?\nAnswer: 1920*d*m**3 + 1488*d*m - 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - 11. Let w be o\/4 + 1 + 2. Let l be 1 + (-6 - (-3 + 0)). What is the closest to l in w, -0.5, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**3\/2 - 1675*u**2\/2 - 2546733*u\/2 - 730776393\/2 = 0?\nAnswer: -519, 2713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 2*g**2 - 4*g - 6. Let i(a) = 2*a + 2. Let u be i(1). Let d(k) = -k**3 + k**2 - 3*k - 5. What is u*d(m) - 3*y(m)?\nAnswer: -m**3 - 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1507?\nAnswer: -1507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 + 4*a. What is t(3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 269, 479, 637, 719, 701?\nAnswer: 559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33645 is divided by 1323.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704) + (sqrt(704) + -2*sqrt(704)*-3)**2 + (5 + -2*sqrt(11) + -1)**2 + -5.\nAnswer: -8*sqrt(11) + 34551","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/4)\/l*l*(l*l**10)\/l*l*(l*l**(-17))**(-50) assuming l is positive.\nAnswer: l**(3243\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - -223?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1616*o + 859*o - 253821 = -298*o - 704*o for o.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -22160 and -6?\nAnswer: 22154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 79050693414.\nAnswer: -79050693419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1471*h + 1457*h = 0. Which is smaller: 1\/17 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22688.2 - -22815. What is k rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3 + 18 - 3*h + 2 - 17. Calculate t(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 13 - 62888*h**2 + 2*h**3 - 40*h + 62874*h**2 + 3*h. Let q be i(9). Let x = -18 + 30. Solve 0*p = q*p + x for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 3*t = -10. Let n be 48\/(-6)*t\/(-8). Let i be n\/(-1) + (-1955)\/(-1938). Is i less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 332*y + 184. Let d(v) = 140*v + 92. Determine -5*d(l) + 2*i(l).\nAnswer: -36*l - 92","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1921064 to the nearest integer?\nAnswer: 1386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -20*q + 96. What is s(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15101360 + 35?\nAnswer: -15101322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 3\/28, -128552?\nAnswer: -128552","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 16*b**2 + 4*b + 2. Let u(c) = c - 39. Let m be u(41). Let x(l) = -5*l**2 - l - 1. What is m*p(j) + 7*x(j)?\nAnswer: -3*j**2 + j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 74*l**3 + 75*l**3 + 3*l - 5*l + l. What is m(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 97 = -5*t - 3*i, 2*i = 3*t - 113. Let w = t - 64. Let b = w + 99. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 3:16 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13.9 + -14. Which is bigger: -0.08 or c?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 93 - 93. Let p(t) = -t**3 - 2*t**2 - t. Let j be p(-2). Suppose h = j*v - 14*v. Solve v = 5*z - 3 - 7 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/270)\/(20*(-7)\/(-350))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 1.1, 0.4, 0, -2\/181, -1\/4 in descending order.\nAnswer: 1.1, 0.4, 1\/5, 0, -2\/181, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w**3 - 5*w**2 + w + 5. Let l(j) = 2*j - 16. Let y be l(7). Let h(f) = 16*f**3 + 26*f**2 - 4*f - 26. Let o(g) = y*h(g) - 11*k(g). Calculate o(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*x = 4, 6*t = 5*t + x - 6. Which is the second biggest value? (a) t (b) -2\/3 (c) -2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -67849 + -f?\nAnswer: -67858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/25757 or -0.08?\nAnswer: -2\/25757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2414\/37877 or 1?\nAnswer: -2414\/37877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14925745 to the power of 1\/2, to the nearest integer?\nAnswer: 3863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 17450.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = -4139*c + 4125*c. Sort c, -6, 1, 3 in descending order.\nAnswer: 3, 1, -6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/5 and -29\/95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3275133 to the nearest integer?\nAnswer: 1810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*r**2 - 544*r**2 + 2*r**3 - 76*r**2 as u*r**3 + n*r + d*r**2 + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(34) - (sqrt(34) + (sqrt(34) - sqrt(2176)))))\/(sqrt(32)*-4))**2.\nAnswer: 833\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22238068 divided by -22?\nAnswer: -11119034\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.38 + -0.02. Let u = -0.14 - f. Put u, 5, -5 in increasing order.\nAnswer: -5, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 81*i + 10 + 3 + 60*i + 3*i**2 as h*i**2 + g*i + n and give g.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19475*-0.5.\nAnswer: 9737.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65112, 65114, 65116?\nAnswer: 65118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1220 is divided by 111.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.13 - -29.13. Let j = 28.99999986 - t. Round j to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -285670, -571340, -857010, -1142680?\nAnswer: -1428350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/4 of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 1f36ea4?\nAnswer: 1f36ea8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 + 59496*t - 59500.\nAnswer: 4*(t - 1)*(t + 14875)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.3, -4, -6.48, -12 in increasing order.\nAnswer: -12, -6.48, -4, -3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, o: 11, u: 2}. Give prob of picking 1 o and 2 u.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -280962\/569 at most as big as -493?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 7599999*h**3 - h**2. Suppose -2*i + 11 = 5*n, -4*n = n + i - 8. Let y = -2 + n. Let v be g(y). Round v to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6*m + 309. Determine l(23).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**3\/11 + 9728*x**2\/11 - 9730*x\/11 = 0.\nAnswer: -4865, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 39 + 45 = -5*u, -3*o - 18 = u. Let v(s) = 47*s**3 + 7*s**2 - 11. Let y(x) = 23*x**3 + 4*x**2 - 6. What is o*y(q) + 4*v(q)?\nAnswer: 27*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b**3 + 595*b**2 - 33*b + 85784. Calculate y(199).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -z + 2. Let l = z - 5. What is the tens digit of (l\/10)\/(1\/22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4*u - 4, -5*p - 3*u = -6*u + 75. Let w(a) = 168*a - 12. Let m(l) = 67*l - 5. Let v(x) = p*m(x) + 5*w(x). Let b(q) = 3*q. Give b(v(y)).\nAnswer: 108*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by 14.\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 972?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 0 + 4)*(-45*s**3 + 64*s**3 - 29*s**3 - 2*s**2) as x*s + z*s**2 + r + y*s**3 and give y.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 660 = 19*l + 755 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 + -24. Calculate the least common multiple of m and 6.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6780)\/(-791))\/(((-10)\/(-20))\/((-14)\/52)).\nAnswer: -60\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 - 40*x + 20. Let a be l(19). Let i be -1 + -1 + (168\/a)\/(-4). Put 0.4, i, 0.2 in decreasing order.\nAnswer: 0.4, i, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -v**2 - 4*v**2 + 16*v**2 - 6 + 24 - 10*v**2 - 907*v**5 wrt v.\nAnswer: -54420*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 32.2 - 32.6. Suppose 4*s = -0*s + 3*y - 4, -4*s + y = -4. What is the smallest value in 1, s, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -36 (c) 2402\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (0 + (sqrt(200) - (sqrt(200) + 1)) - (-2 + sqrt(200) + 1))**2 + (2*sqrt(200) + -2 - (sqrt(200) - -3*(2*sqrt(200))**2)) + -2.\nAnswer: -2207 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7033022 + 8?\nAnswer: 703302a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9378 - 28512?\nAnswer: -1a145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -83.449652016 and -0.5.\nAnswer: -83.949652016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 11:43 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + n + 8. Let r(t) = -t**3 - 7*t**2 - 6*t. Let a be r(-6). Let m be b(a). What is the units digit of m\/(-44) + 136\/22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rma when three letters picked without replacement from aiahimrrmhrrrhrrmir.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or 328?\nAnswer: 328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5*z**3 - 4*z**2 + 5*z - 5. Let j(p) = 9*p**3 + 7*p**2 - 9*p + 10. Determine 4*j(v) + 7*r(v).\nAnswer: v**3 - v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 496726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from ummkommuuumuxkmm.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - -3)*(-4)\/2*1. Solve -5*f + 3 = y*g, 0 = -5*f + 3*f + 4*g + 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3362144 is divided by 1681068.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 10 + 0 - a**2 - 1409*a + 1416*a. Determine f(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l + 23. Let i be g(8). Let t = 7 + -12. Which is the closest to 1? (a) i (b) -0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmi. What is prob of picking 1 i and 2 m?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-8)*c*c*c)\/c**(-4)*((c**(1\/3)\/c)\/c)**(-28) assuming c is positive.\nAnswer: c**(140\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 61, 116, 223, 400?\nAnswer: 665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 38985.56722 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2ed1 - -23a8?\nAnswer: -b28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - a - 10 = 5*w, 0 = -4*a - 20 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 8*f. Let h(l) = -4*l - 3. Let q(g) = -13*g - 13. Let c(j) = 26*h(j) - 6*q(j). Calculate y(c(r)).\nAnswer: -208*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -22. Solve 2 = 4*a - p - k, -2*a + 3*p = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s - 37*s + 2300 = 0. Suppose 2*v = 2*b + 40, 0 = -v + 5*v - b - 89. Calculate the greatest common factor of v and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (4*(-3 + sqrt(17)) - sqrt(17)))*2 - (((2*sqrt(51))\/sqrt(3) - sqrt(204)\/(-3*sqrt(12))) + 3).\nAnswer: -31 + 11*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 7*n**2 + 7*n - 6. Let v(i) = -4*i - 48. Let h be v(-10). Let k be x(h). Solve 0 = k*g + 10 - 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f + 7*f + 13 + 24*f**2 - 26*f**2 - 8*f.\nAnswer: -2*f**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*h + 630 = 16*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.04 - -6. Let x = 1.04 + t. Which is smaller: x or 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/(1 - -2))\/(-3). Solve s*d - 2\/5*d**2 + 2\/5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1365101599*m + 2284*m**3 + 1365101599*m.\nAnswer: 2284*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 + 50. Suppose 4*q = p*q - 51. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-264))\/((-1980)\/(-3630))?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1158070 by -231614.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u. Let m(v) be the first derivative of 9*v**2 + 45. Calculate k(m(r)).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -764, -3846, -8980, -16166, -25404, -36694?\n\"Answer: -1026*s**2 - 4*s + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (30\/(-120))\/((-1)\/4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7653331, 15306641, 22959935, 30613213, 38266475?\nAnswer: 45919721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**3 - y**3 + 0*y**3)*(14299 - 14299 - 104*y**2).\nAnswer: -208*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2. Let k(f) = 9560*f**2. Give k(d(o)).\nAnswer: 38240*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, z: 1, s: 2, o: 3, n: 1, u: 3}. What is prob of sequence onzu?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 12*i - 30. What is n(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + n = -53, 13 = -s - 4*n - 10. Let v be 2\/18 + 9\/s. Which is the third smallest value? (a) 2 (b) 0 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/251770748 and -107\/18.\nAnswer: 2265936732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2059 is divided by 85.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -0.3, 0.1, -8 in descending order.\nAnswer: 0.1, -0.3, -8, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 758 = -30*k + 642. Suppose 0 = -4*w - 0*w + 120. Calculate the lowest common multiple of w and k.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(190) - sqrt(190))*-5*3)\/(sqrt(30)\/(sqrt(27)\/(sqrt(9)*-2)))*-6.\nAnswer: -45*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i - 20. Let m be b(22). Solve -x = -5*h + 2*h - m, -3*h - x - 4 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 18 = -5*p - 0*p, 3*m + 5*p + 4 = 0. Calculate the remainder when 3 is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 54.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -27. Let c be ((-60)\/8)\/(s\/4). Solve 5*x + 2*b - 24 = 0, -4 - c = -x - 5*b for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 19*q**2 - 11*q + 63. Let k(d) = 2*d**2 + d + 3. Let o(n) = -2*h(n) + 18*k(n). Factor o(s).\nAnswer: -2*(s - 18)*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.29 at least 195933?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a week in minutes?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/4)\/((-12)\/10248) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 11 = 47. Let n be (4 + 1)*p\/(-15). Suppose -3*s = -5*s - f + 30, -n*f = -8. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 28 + -16 + -11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r + 4. Suppose 50*k = 55*k + 10. Let h be n(k). Suppose -51*v + 53*v - 28 = 0. Solve 0 = -4*j - 5*x - h, -v = j - 3*x - 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 17\/2 of a microsecond?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*f - 118*f - 40117 = -4*b, 5*b - 5*f - 50145 = 0. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21.26, -2, 0.1 in decreasing order.\nAnswer: 21.26, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1190 is divided by 299.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**3 - 5*a**2 + 2*a - 1. Let m = 64 - 3. Let g = m + -58. Is f(g) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61069.75 centuries to decades.\nAnswer: 610697.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*o + 16*o + 9*o)*(-5*o + 2*o + o)*(2 - 3 + 2).\nAnswer: -34*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 65*t - 494. What is the remainder when ((-103)\/(-4))\/(2\/16) is divided by u(8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 2. Let p be -1 - 1 - (-42 - v). Suppose 75 + p = 5*q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.116866 millennia in decades?\nAnswer: 611.6866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 5*x - 19, -x + 8 = x. Let i = -3 - s. Let y = i + 56. Calculate the smallest common multiple of 12 and y.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fze when three letters picked without replacement from {e: 2, f: 3, c: 6, i: 7, z: 1}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, 0.5, 2\/3, 73?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w**2 + 17*w - 2. What is b(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 2147 = 2097 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -568 and -0.138.\nAnswer: 78.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j + 12 + 0*j + 5*j - j.\nAnswer: -2*j + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 172029, 343703, 515023, 685989, 856601, 1026859, 1196763?\n\"Answer: -177*b**2 + 172205*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) 246 (c) 1\/9 (d) 1\/6 (e) -2\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 2*d**3 - 3*d**2\/2 - 3*d - 62. Let l(x) = -620 - 615 + 2*x - 619 + 1856 - 5*x**2. Calculate -2*c(r) - 3*l(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 116 (b) -2\/3 (c) 23 (d) -5 (e) -135\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - 9*u - 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1623269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -467 + 308. Let d = 158.99999109 + c. What is d rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 516202454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2615 divide 834414860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 492217217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3825733757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.021 (b) -1\/6 (c) 7 (d) 1 (e) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 7*t**2 - 2*t + 1. Let r(s) = 8*s**2 - 2*s + 1. What is 5*r(o) - 6*y(o)?\nAnswer: -2*o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 17 = -3*y, g + y - 1 = -4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 21*k + 73. What is j(16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5770 + -2965. List the prime factors of c.\nAnswer: 3, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - -2) + 1 + 6. Let r be g\/4*1\/20. Let x = -470 + 471. Which is the smallest value? (a) r (b) 0.3 (c) 0.2 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v**(7\/5)\/v)\/v*v)\/v)\/(v*v**1))\/((v**(-5)\/v)\/v**(1\/5)))\/((v**(-4)*v\/(v**(2\/5)*v)*v)\/(v**6\/(v*v*v**(-1\/5)*v))) assuming v is positive.\nAnswer: v**(51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(208) + -3 + sqrt(208))**2 - ((-6*(sqrt(208) + sqrt(208)*3))**2 - sqrt(208))) + (4 + (1 + sqrt(208) + 2)*1)**2 + -5.\nAnswer: -118660 - 68*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**2. Let r(g) be the first derivative of -11*g**5\/120 - 2*g**3 + 11. Let i(s) be the third derivative of r(s). Calculate h(i(m)).\nAnswer: 363*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**3 + k**2 + k - 1. Suppose 20 = -7*i + 153. Calculate the remainder when i is divided by v(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 4. Let y be w(-6). Let s(f) = -3*f - 30. Let o be s(-11). Sort o, y, -1.\nAnswer: y, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -129 - -228. Let b be (6*w)\/3*8\/4. Suppose f = -4*r + 525, -3*f = 3*r - 0*f - b. What are the prime factors of r?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + d - 7. Let i be q(-6). Let s = i + -7. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84050249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f - 3. Let c be (-2 + 2)\/(0 - 1). Let l = 2 + c. Suppose 0 = l*o + 2 + 6. Give q(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16458.9 times 1364?\nAnswer: -22449939.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -599.45608 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f + 3*f + 0*f)*(-2 - 1 - 2) - 1 - f + 1 + (4*f - 6*f + 4*f)*(4 + 0 - 2) - f + 2*f + 0*f to the form r + p*f and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -7*v**4\/8 - v**3\/3 - 3*v**2. Calculate the remainder when i(-3) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.7 - -0.2. Let t(j) = -10*j**3 + 2*j**2 - 3. Let f be t(3). Let c = 1279\/5 + f. Put -2\/3, c, b in decreasing order.\nAnswer: c, b, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -8, 1\/2, -0.05, -5059?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 11:49 PM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 18*b - 13*b - 2206, -3*b - 15 = 0. What are the prime factors of r?\nAnswer: 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 694\/(-10) - (3 - 4). Let c = -68 - v. Which is greater: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {f: 2, s: 5, q: 8, i: 2, o: 2}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.3, -3\/8, -7\/17 in ascending order.\nAnswer: -7\/17, -3\/8, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51)\/34 - (-231)\/42?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.1 + 21.9. Let o = -0.13 - -23.63. Let d = o - j. Which is the smallest value? (a) -3\/8 (b) d (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -69*t**3 + t**2 + t + 1. Let w be f(-1). Let d = w + -69. Let n be (-17)\/(-204)*16\/10. Is n bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 529408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4115 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 2:40 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + -4 - -1) + -2. Let o(y) = -6*y - 22. Let n be o(w). Is ((-258)\/n)\/(15\/(-20)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*h = 6 - 48 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293966645.\nAnswer: 5, 7, 31, 270937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 237882*c + 6*c**2 + 237882*c + 6*c**2 - 4*c**2 + 2.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 12:03 PM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 318711600 divided by -10035.\nAnswer: -31760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338128*t + 2*v = -338133*t - 2, 3*v = 3*t + 39 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, -21, -2\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f - 2. Let z be d(2). What is the tens digit of 78\/(-9)*z\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 446*s - 213*s = 201*s + 224. Calculate the highest common factor of s and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 10:48 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230 = 5*c + 609 - 309 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280)\/sqrt(252)*4)\/(sqrt(16)\/(sqrt(2) - -4*sqrt(162))))**2*5.\nAnswer: 136900\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s + s - 2*s - 7*s + 2*s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 = -42*u - 55 - 251 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 3*p**2 - 44. Give t(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 99\/2488 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*n - 2*n - 3*n)*(3*n + 0*n - 2*n) - 7*n**2 - 19*n**2 - 12*n**2 in the form y + f*n + b*n**2 and give b.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -12*j**5\/5 - 1444*j**4\/5 + 58988*j**3\/5 - 150316*j**2\/5 + 129504*j\/5 - 7344 = 0.\nAnswer: -153, 2\/3, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 104872000331151 and -2?\nAnswer: 104872000331153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/10*(-20)\/8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 2*p. Let g(n) = 2*n. Let q(k) = 6*k. Let x(z) = -2*g(z) + q(z). Give x(j(w)).\nAnswer: -2*w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 201594014*p**2 + p + 541593533 with respect to p.\nAnswer: 403188028*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125232 = -54*q + 6*q. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*f - 2*f = 16, -3*f = -3*n. Let s(w) = -w + 2*w + n*w - w. Let h(c) = -166*c**2. Give h(s(u)).\nAnswer: -664*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-86)\/(-6) + (-68)\/(-102). Let f be t\/120 + 134*63\/48. Suppose -f = -4*k - 0. Calculate the highest common factor of 132 and k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 15355, 15218, 15081?\n\"Answer: -137*w + 15492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -265.5 times 0.1684?\nAnswer: -44.7102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2\/5 - 27*v\/5 + 72\/5 = 0. What is v?\nAnswer: 3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lv when two letters picked without replacement from vkvvkvvlvv?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b - 1. Let y be a(-5). Find the third derivative of 229*x**3 - 2 - 182*x**3 - y*x**2 + 74*x**3 wrt x.\nAnswer: 726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -228133 + 228134. Determine f so that a + 1\/4*f**3 - f - 1\/4*f**2 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + -3*1\/(-3). Suppose f = 2*j, -2*f + 3*j = -f + 1. Let s(m) = -m + g*m + m + f*m**2. Let u(d) = 2*d**2. Give u(s(p)).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -104 - -106 - 18 - (-23 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10756*r + 37335.\nAnswer: 10756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 3, w: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6*l = -96. Let d be l*(2\/4 - -2). Let q = d - 1679\/28. Is q greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**5*y**2 + 342*b**5*y + 20*b*y**2 - b*y + 8*y wrt b?\nAnswer: 40*b**3*y**2 + 6840*b**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -85 (b) 18 (c) 2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 894 + -892. Suppose -5*j + 4*j + c*o - 7 = 0, 5*o = 5*j + 10. Solve -j + 18 = 3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1046*l - 1424059 = -1430335 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2109\/3330 + (-2)\/4. Sort 0.1, q, 1.\nAnswer: 0.1, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 1. Determine c(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-16)\/(384\/264)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -w**4\/4 + w**3\/3 + 2*w - 2. Let n be c(0). Let d = 0.05 - 3.05. Sort d, 5, n.\nAnswer: d, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -0.14, 2\/3, -405, 12\/7, -2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nqzsnkc. Give prob of picking 2 n, 1 z, and 1 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 28\/21)\/6.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 8, 1, -2227, -3 in descending order.\nAnswer: 8, 1, -3, -5, -2227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -z. Solve n + z = 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4501?\nAnswer: 7, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 3*q + 5, o + 766*q - 772*q = 11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -2*j**4\/3 + 662*j**3\/9 + 83*j**2\/3 - 40. Factor b(p).\nAnswer: -2*p*(p - 83)*(4*p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + t**2 + 5*t - 8. Calculate the common denominator of -59\/68 and q(0).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, g: 1, b: 11, m: 1, i: 1}. What is prob of sequence bb?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-39)\/(-858)*121?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/((-20)\/3) - (-6)\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97 - 21 + 25)*(-2 - 1 + 1)*(5*v**2 - 2 + 2).\nAnswer: -1010*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 744162472?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3864*p**5 - 151*p**4 + 10*p**2 - 3982*p - 1.\nAnswer: 231840*p**2 - 3624*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 - -82. Let m be u\/18 + 1\/6. List the prime factors of 1\/(-2)*-13*m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1007 divided by 14.\nAnswer: -1007\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12080062 to the power of 1\/3, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(171) + 1)**2*4 + 1).\nAnswer: -4134 - 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 136693 by 1.\nAnswer: 136693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3330 and 2446995?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.085 = -819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110 take away -0.4?\nAnswer: 10110.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j**2 - 5*j**2 - 2*j**2)*(1 - 5 + 3) + 3*j**2 - 4 + 6 + 1.\nAnswer: 5*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a milligram in micrograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 9*x + 605 = 569. Let u(r) = -7*r + 27. Let q(c) = 6*c - 27. Give x*q(f) - 5*u(f).\nAnswer: -f + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/4542 and 73\/6056.\nAnswer: 18168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4761*b - 1939 - 8805*b + 1939 + 573*b**3 wrt b.\nAnswer: 3438*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*i + 9 = -0*p, -i = 3*p - 13. Suppose 439 = 3*r + g, -p*r - 153 = -6*r - 2*g. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 12:18 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 249, 54, -141, -336?\nAnswer: -531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -1 + 3 + 2 - (-23 + 28)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 6*s**2 - 8*s - 3. Let c be r(-3). Put c, -1, -7, -4 in descending order.\nAnswer: -1, -4, c, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2300411013 (base 5) to base 10.\nAnswer: 5091383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k + 111. Let z be j(21). Solve -3*r + c + z = -2*c, -4*c + 17 = r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -349446 or -349467?\nAnswer: -349446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4068468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -9*o**2 + o**2 + 7*o**2 + 6 - 8 + 14*o. What is y(11)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - h**2 + 1. Let o = 2 - -3. Suppose 0 = -o*a - i + 21, 5*i = i + 4. Let w = a - 3. What is t(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2482*x**2 + 32399*x**2 + 7155*x**2.\nAnswer: 37072*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1262708.978 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 119680 a multiple of 544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2)\/s)**(-1\/5)\/((s\/s**(-12))\/s**(1\/3)) assuming s is positive.\nAnswer: s**(-184\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**5\/60 + o**3 - 2*o**2. Let h be v(0). List the prime factors of (-16)\/h*9\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2507913*o*s**3 + 3718066*s**3 wrt o.\nAnswer: 2507913*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129517557?\nAnswer: 3, 13, 883, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*u + 18 = 0, -q + 13 = q - 3*u. Suppose 3*w + 3*o + q*o = 34, 0 = 3*w - 2*o + 1. Suppose w*t = 4 + 2. Solve -t = h - 7 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/sqrt(2) + -4 - (sqrt(171) + 0).\nAnswer: -2*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 9 - -6 - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -561204 divided by 2227\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c = 0. Let i(d) be the third derivative of d**4\/6 - 2*d**3 + 11*d**2. Let j(m) = -5*m + 13. Let v(p) = 4*i(p) + 3*j(p). Determine v(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 3. Let k be v(-5). Suppose 4*h + 3*y = 2*h + 6, -4*h + k = y. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 21264*m**2 - m - 7. Let b(p) = -p. Determine f(b(j)).\nAnswer: 21264*j**2 + j - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8624798 and 1274?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/31 and (-18)\/45 + (-3 - 702\/(-80)).\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*m - 15*m + 4*m**2 - 23 - 2*m**2 in the form a + w*m + r*m**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u**2 - 83*u + 458. What is h(6)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -3\/29 (b) -1 (c) 1\/706\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**4 + 0*u**4 + 2*u**4)*(-1 + 2 + 1) + (-2*u + 5*u**2 + 2*u)*(-2*u**2 - u**2 - 2*u**2).\nAnswer: -21*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -1\/168195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9080 divided by -1816.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, u: 3, z: 1, g: 1, p: 6}. What is prob of sequence uzp?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppkkpkpkpccpkc. Give prob of sequence kp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-458)\/1603 + (-77676)\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -3, 5, 0.5, -1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300199 is divided by 1035?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6642 and 11258.\nAnswer: 37387818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -8*r - 38. Let o be s(-5). Suppose 0 = 4*j - o*t - 834, 2*j + j + t = 633. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15\/232 - -2367\/15080. What is the common denominator of 113\/130 and i?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4*h**2 + 16*h - 128 = 0.\nAnswer: -8, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -3 - 1\/9*r**3 + 0*r**2 + 0*r + 1\/12*r**4. Factor m(h).\nAnswer: h**2*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22145.26026 rounded to the nearest integer?\nAnswer: 22145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1331) + 0)**2.\nAnswer: -3993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231 = -916*f + 895*f for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4 + (sqrt(325) - 2*sqrt(325) - sqrt(325))*-6)**2.\nAnswer: -480*sqrt(13) + 46812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000543009 to 7 decimal places.\nAnswer: 0.0000543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23853?\nAnswer: 3, 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -913.035327 to one decimal place.\nAnswer: -913","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 14aa1749?\nAnswer: 14aa1749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 29709502 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/6*30\/(-20)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110780088 to the power of 1\/2, to the nearest integer?\nAnswer: 33328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 33044, 66096, 99146, 132194, 165240, 198284, 231326?\n\"Answer: -k**2 + 33055*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 4*j**2 + 35*j + 29. Determine d(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + 3*sqrt(7)*2) + 4.\nAnswer: 28 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 475590?\nAnswer: 2, 3, 5, 83, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -1528*z + 896. Let a(p) = 510*p - 299. Let s(k) = 7*a(k) + 2*r(k). What is the first derivative of s(t) wrt t?\nAnswer: 514","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -9*o**4\/5 + 434211*o**3\/5 - 5138058342*o**2\/5 - 2402851917888*o\/5 + 1604184731424\/5 = 0.\nAnswer: -451, 2\/3, 24348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-612 - -602) + (7 - 3) + -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 1\/4, -3, -2, 0.81?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + 1 - 1) + 0. Let n = 663 + -609. What is the highest common divisor of n and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 10*v**2 + v + 91. Is q(14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1475 = 106*l - 1898*z + 1895*z, -2*z = -4*l - 50 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -70542213.25 rounded to the nearest 1000?\nAnswer: -70542000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + k**2 + 8*k - 4. Let h be j(3). Solve -4 = -q - h for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 36, 103, 216, 375, 580, 831, 1128?\n\"Answer: 23*u**2 - 2*u + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 100)\/((-11 - 27) + 1 + 36) + 9?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 6:16 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000247413104 to seven decimal places.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1003 (base 5) to base 3.\nAnswer: 11202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, r: 2, o: 1, v: 1}. Give prob of sequence vu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-28)\/238 - (-664)\/7378. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.14, 0, 1\/3, 4\/21, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1058?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(2\/7))*(o\/(o\/((o\/(o\/o**4))\/o))*o*o)\/o)**(1\/41) assuming o is positive.\nAnswer: o**(30\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2394 - 372 = 0. Let s = -449 + y. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + x - 4. Let l = 3472 - 3467. Let k(s) = 2*s**2 + s - 4. Determine l*r(j) - 4*k(j).\nAnswer: -3*j**2 + j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3 + 9 + k - 9 - 3. Suppose 5*t + 1 - 16 = 0. Let p(x) = 4*x**2 + t*x**2 - 2*x**2 - 2*x**2. Calculate p(f(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4 = -0. Calculate the greatest common factor of 2 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of z**2\/2 + 10*z + 1. Let i be t(-6). Let 1 + i - p - 1 - p**2 - 2 = 0. What is p?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -456\/7, 0.18, -93?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a**3 - 34*a**2 - 2. Let f(c) = 2*c**3 + 23*c**2 + 1. Give -7*f(g) - 5*u(g).\nAnswer: g**3 + 9*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of a**3\/3 - 2. Let z(s) = s - 2. Let q(l) = 4*l - 7. Let d(t) = -2*q(t) + 7*z(t). Calculate d(b(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7, -2, -45, -140, -305, -558, -917?\n\"Answer: -3*u**3 + u**2 + 9*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198 = -18924*s + 18902*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -13 + 3*i + 0*i - 4*i + 0. Let d(z) = 11*z - 21*z + 4*z + 6 + 7*z. Calculate 13*d(w) + 6*f(w).\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 10*l**2 - 36*l - 132. Let j be a(-7). Let f be 8*(j + (0 - (-2 + 1))). Is -208 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*z + 2983 = -330, 3*x + 3*z - 2484 = 0. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -176*p - 640 + 345*p - 527*p**3 - 169*p wrt p?\nAnswer: -1581*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from {j: 3, e: 4, d: 3, u: 1, n: 3, h: 2}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (50 - 33) + 1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12301.5*0.5.\nAnswer: 6150.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.302893 + -3.3229. Round v to four decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -333, -1349, -3043, -5415, -8465, -12193, -16599?\nAnswer: -21683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18\/11, -159, 28.\nAnswer: -159, -18\/11, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 5:46 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*0.07\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -7\/8 (b) -1\/5 (c) 1 (d) -4 (e) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 26 - 24) + (-3 - (-2 + 57)) + 1.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 + (0 + 155)*(-637)\/6370)*(-2 + 0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(-1\/43)*c)\/c)\/c)\/(c\/((c\/(c\/(c*c\/c**(2\/39))))\/c)))\/(c*c\/(c*c**(-2\/13))*c\/(c*c\/((c**(-2\/43)*c)\/c)*c)) assuming c is positive.\nAnswer: c**(-305\/1677)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(300) + 4*sqrt(300) - sqrt(12))\/(-3*sqrt(28)\/sqrt(7)))**2.\nAnswer: 32*sqrt(3) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10117102 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3124 and 5081328.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -557, -1099, -1641?\nAnswer: -2183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-14)\/(-24))\/7 + 0. Let b(q) be the third derivative of 1\/32*q**4 + 0 + 1\/240*q**5 + 0*q + h*q**3 + q**2. Determine v so that b(v) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290 = -15*h - 65. Suppose -3*m + h = 3*j, 2*m + j = 3*j + 10. Let n(c) = 459*c + 34. Is n(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3110 * 0.9\nAnswer: 2799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 473e - 68?\nAnswer: 46d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24.7 - 28. Let v = o + 16.3. Let t = v + -13.0000036. Round t to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeeeededeed. Give prob of picking 3 d.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 506230 divided by -230?\nAnswer: -2201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 n, and 1 w when four letters picked without replacement from {h: 12, w: 2, n: 5}?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, 0.3, -4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -395*d - 398 = 384*d + 703 - 322 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4)*t\/(t*t*t\/t**8*t))**(-4\/9)*(t*t\/(t\/(((t*t\/t**0)\/t*t)\/t))*t)**45*(t**(2\/7)\/t)**20 assuming t is positive.\nAnswer: t**(7577\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*o + 70 = -8*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 e when two letters picked without replacement from ccqleejn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-166 - (-87 - 81))\/(0 - (-14)\/11).\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1141330 + 21?\nAnswer: -1141305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/8 and -97\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z**2 - 5*z**2 + 0*z + 3*z. Let i = -3 + -1. Let u be -5 - i - -1*5. Give o(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(8\/7)*h)\/(h*h\/h**(-15))*((h\/((h\/h**(-17))\/h*h))\/h)\/(h**(-13)*h*h))**(5\/6) assuming h is positive.\nAnswer: h**(-255\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4493.957nm to meters.\nAnswer: 0.000004493957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 291834943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 1.5. Let w = -0.4 - -2.4. Let n = 1.3 - 1. Sort w, j, n.\nAnswer: n, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 68*f**3 + 18*f**2 - 9*f - 30. Let h(t) = 69*t**3 + 16*t**2 - 8*t - 27. Give 8*b(m) - 9*h(m).\nAnswer: -77*m**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37597 by -13.\nAnswer: -37597\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 22 = 3*q + 1, 0 = 3*g. Let n(x) = -x + 3. Let o be n(q). Let d be ((-3 + 2)\/1)\/o. Which is bigger: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (7 - 4 - 0)) + -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*q + 2*q. Let l be (-45)\/(-5 + -1 - -7). Let j = 38 + l. Is j at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i - 5. Let f(n) = 7*n + 10. Let m(h) = -2*f(h) - 5*r(h). Let p be m(0). Let b(v) = 2*v - 10. Let z be b(6). Solve -z*w + p*w = 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41963\/(-2894)*3708\/522.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f*f\/(f**(2\/17)*f))**20)**32)**(22\/3))**(-1\/4) assuming f is positive.\nAnswer: f**(-112640\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/56 and 31\/35.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -u - 2, -7*v - 3*u = 18*v - 22 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -17*c**2 + 64*c + 1605. What is m(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**8\/1512 - h**7\/189 + 7*h**6\/540 - h**5\/90 + 12*h**2 + 16*h. Let x(b) be the first derivative of i(b). Factor x(v).\nAnswer: 2*v**2*(v - 3)*(v - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -572.55 - -414.786. What is w rounded to the nearest integer?\nAnswer: -158","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(112)*2)\/sqrt(4))\/(5*sqrt(4)*-3*-5).\nAnswer: 2*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31.541 - 32. Let r = -0.275 + 0.216. Let h = j - r. Sort 0.2, h, -1\/5, 0.5 in decreasing order.\nAnswer: 0.5, 0.2, -1\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -273*v**3 + 86*v**2 + 1018*v - 64. Is s(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143391 to the power of 1\/2, to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3602451?\nAnswer: 3, 191, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7212728, 7212730, 7212732, 7212734?\nAnswer: 7212736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhkhhhhhhkkhhkhhhh. Give prob of sequence hhh.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 153764 and 11828.\nAnswer: 153764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -6*d. Let n(r) = 11032*r. What is n(p(w))?\nAnswer: -66192*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3575 divided by -5?\nAnswer: -715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 - 7*a - 3. Let c be n(6). Let v = -49 + c. Let y = v - -41. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 10*w - 17. Determine s(7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 20*b - 11. Determine s(-25).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(-1\/4)*c)*c\/c**7*c)**(-3))**(-5\/2) assuming c is positive.\nAnswer: c**(-345\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 3 = -x + 3*u, 2*x + 1 = u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -561?\nAnswer: 561.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -10*v**3 - 52*v**2 + 69*v + 267. Give s(-5).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*c = -85 - 7, -5*m - c + 184 = 0. What is the remainder when 118 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1205212318.\nAnswer: 2, 602606159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + f + 148, -4*w + 3*f + 156 = -0*w. Let o be (-60)\/w + (-2)\/6. Let s(y) = y**3 + 4*y**2 + y. Calculate s(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(425) + -1)*-3.\nAnswer: -15*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -14*a**2 - 5. Let w(v) = -27*v**2 - 9. Determine -9*h(z) + 5*w(z).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25514 by 5.\nAnswer: -25514\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1297 or 1394?\nAnswer: 1394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -300*k. Let z(q) = 9023*q + 3. What is z(u(o))?\nAnswer: -2706900*o + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**2 + 67192*v - 282172804 = 0. What is v?\nAnswer: 8399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.73227 to 2 dps.\nAnswer: 46.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 2*c**2 - 6*c + 5. Let b be s(-5). Suppose 2*p + 1144 = 41*p - 13*p. Calculate the highest common factor of b and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5199 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-228)\/(-14)*16\/12. Are m and 21 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1)\/(43 + -24 + -16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.41833973 rounded to one dp?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -22*f + 12. List the prime factors of c(-5).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.824678223403 + 5.\nAnswer: 5.824678223403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(500)*1 - (sqrt(90)\/(sqrt(6)*2))\/sqrt(3))**2 + -3*-6*-5*(sqrt(5) + -1 + sqrt(5) + -5)**2.\nAnswer: -11755\/4 + 2160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pspssssssss. What is prob of sequence sp?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -466411658.5 rounded to the nearest 1000000?\nAnswer: -466000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 11*f - 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 g, and 1 h when four letters picked without replacement from {h: 2, v: 2, g: 2, j: 4}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34199, 33517, 32375, 30767, 28687?\nAnswer: 26129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/2674776 and -121\/156.\nAnswer: 2674776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -2, -5, -185, 1 in decreasing order.\nAnswer: 1, -2, -5, -23, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14825035.\nAnswer: 5, 19, 113, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5440\/(-13056))\/((-10)\/(-4)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 13 = -0*s - m, 3*m = s - 17. Suppose -5*p + s = -2*t, -5*t + t = -5*p + 16. Solve p = 3*w - 4*v + 12, w = -w + 3*v - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + -3 + -1 + sqrt(17)) + -1.\nAnswer: -4*sqrt(17) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 53 + 106 - 2*h + 2*h + 2*h - 5*h + (0*h + 2*h - h)*(-2 - 2 + 6) as s*h + x and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -108187380547 and 0.1.\nAnswer: -108187380546.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141256?\nAnswer: 2, 17657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2392 divide 108429360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17254 and 2877026857.\nAnswer: 8627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1687725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of 1217*v**4\/24 + 7150*v**2. Let x(a) = 4*a. Calculate i(x(n)).\nAnswer: 4868*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/2, -16, -2\/9, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) -2\/9 (c) -1\/652 (d) -0.6 (e) 2 (f) 10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-161)\/828 + 32\/72. Let f be -216 - (2 + -2 - -1). Which is the nearest to l? (a) 2 (b) f (c) 0.1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61874 (base 12) to base 14\nAnswer: 345cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 22*m**2 + 177*m - 5395. Determine b(24).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 91541278 to the power of 1\/4, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 7*q**2 - 7*q - 2. Let a(j) = -8*j**2 + 8*j + 3. Let b = -680 + 675. Calculate b*r(v) - 4*a(v).\nAnswer: -3*v**2 + 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 2 - -2)*4. Solve 10 + 2 = i*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.23 in -3, 2, -1\/5, 10, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 7*i**2 + 7*i - 8. Let z be v(6). Suppose 4*u + 37 = -2*p + 183, z = 2*u - 2*p. Suppose k - u = -11. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**2 + t**2 + t - 3 + 0*t + 2*t**2. Let n be y(0). Suppose 29 = 5*o + 3*u, 5*o - 13 + 5 = 4*u. Put o, -4, n in decreasing order.\nAnswer: o, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a + 29. Let w be o(-16). Calculate the remainder when 2 is divided by 1\/((-1)\/w*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 q when four letters picked without replacement from qqsqsqqsssqssqsqsq?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((-8 - -9 - -1) + (1 - 0))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tooktyf. What is prob of sequence ft?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, v: 3, i: 3, m: 1, c: 3, f: 3}. What is prob of sequence mci?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1155526 - -261?\nAnswer: 1156007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21742477?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 20. Let o be h(8). Calculate the greatest common factor of o and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5\/3 + 17\/15. Do 3 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102 + 4?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q - 4*q**3 + 0 + 6 + 6 - 10 as m*q**3 + o + x*q**2 + b*q and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6a2 + -5?\nAnswer: 69c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1715928 a multiple of 424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/(-5))\/(-2) - 0. Let a = -2244 + 2239. What is the nearest to -16\/3 in r, -2\/9, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 9, 5.\nAnswer: -29, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, a: 9, e: 1}. What is prob of sequence eb?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6790, -6800, -6816, -6838, -6866, -6900, -6940?\nAnswer: -6986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 5*m = -15, 5*m - 312 + 297 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -6*x**2 + 4*x + 4. Let v(a) be the first derivative of 7*a**3\/3 - 5*a**2\/2 - 5*a - 11. Let n be 3\/2 - 2 - 14\/4. Give n*v(i) - 5*o(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 4*y + 21, 4*y + 23 = 4*t + y. Let m(x) = -44*x**2 - 9*x + 3. Let h(a) = 23*a**2 + 5*a - 2. Let u(n) = t*h(n) + 3*m(n). Calculate u(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3468 + -3465. Let o be -2*(15\/(-8) + 2). What is the second smallest value in 1\/4, -3\/4, m, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4160 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82795249815 + -1.\nAnswer: 82795249814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**2 + 7*b - 1. Let f(p) = -p + 23. Let v be f(26). Let q be k(v). Suppose 3*d + 12 - 3 = w, -10 = q*d. Solve -w*n - 2 = 10 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 6:03 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -997 + 499 + 500 + 75*x to i*x + d and give i.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 5*f - 66, -38 = -3*h + f + 10. Let i be (-3)\/(6\/(-236)) + h + -15. Let a = 244 - i. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**5 - 80*i**2 + 6*i**5 + 342*i**4 + 640 + 245*i**3 - 880*i - 90*i**4 - 182*i**4 = 0. Calculate i.\nAnswer: -8, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f - 3*f - 412*f**2 + 6 + 410*f**2 in the form p*f**2 + x*f + q and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a meter in centimeters?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1865*(39\/(-21) - -2). Let l = 266 - h. What is the common denominator of l and -119\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2. Suppose k = 4*v - 13 - 5, -4*k = 2*v - 18. Let x(z) = 2*z**2 - 2*z**k - 8*z**2 - 7*z**2. Calculate x(t(f)).\nAnswer: -15*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 920 - 2880. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56218871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/16)\/((137\/1096)\/((-2)\/(-60)))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13894511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 + 0.1. Let b = 12 - 7. Let o = 1 - 0.8. What is the second smallest value in b, w, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 3*p + 2*w - 242, p - w - 144 = 0. What is the remainder when p is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 3*c - 3*y - 2*y, 3*c - 4*y - 56 = 0. What is the tens digit of (-7)\/((-14)\/c) - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -82 - (882 - 924).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1239 + 1238. Suppose -2*y + 2*w = y - 5, -2*y = 3*w - 12. Let r be a*9*(-2)\/y + 4. What is the greatest common divisor of r and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/103761 and 43\/4774.\nAnswer: 70765002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -6*v**3 + v**2 + v + 1. What is q(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5760 by 288.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 2*m + 1. Let u = 67 + -70. Determine a(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 750*h**2*n**5 - h**2*n**2 + 1079*h**2*n + 2*h*n**6 + h*n**2 + 6*n**2 wrt n.\nAnswer: 45000*h**2*n**2 + 240*h*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6*i**2 - i - 1. Let y be g(-1). Calculate the highest common divisor of y and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-919)\/6433)\/((-4*(-18)\/(-48))\/(-123)).\nAnswer: -82\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = 4*h - 4*n - 2, 8040*h - 8042*h - 74 = 5*n - 16 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 649778.1 centuries?\nAnswer: 64977.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 818587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a - a - 1 + 3)*(a - 3*a - 7*a) to d*a + r*a**2 + j and give d.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 3, -2, 2024, 1\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 12329414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and 0.045?\nAnswer: -0.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 1 - 5 - 1 + 4*i. Does 9 divide d(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -122*c + 13. Let w(i) = 61*i - 6. Calculate -6*r(z) - 13*w(z).\nAnswer: -61*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 261, 524, 787, 1050, 1313, 1576?\n\"Answer: 263*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-3))**(2\/13)*(c\/(c*c**13*c))\/(c**5\/c))**(9\/5) assuming c is positive.\nAnswer: c**(-432\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 4 (c) -1 (d) -6.45 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 4*q**2 + q. Let y = -13 + 10. Let l be t(y). What is the third derivative of -13*c**3 - 4*c**2 - 4*c**2 + l*c**3 wrt c?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 19429*y + 38855. Give f(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l = 5*m - 7*l + 159, -3*l = 3*m + 99. Is 5\/m - 11371\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 599 (base 14) to base 5.\nAnswer: 13430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3\/7 + 36083*r**2\/7 - 72099*r\/7 - 324729 = 0.\nAnswer: -7, 9, 36081","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 132 - 127. Let c(u) = u**2 - 11*u + 7. Let w be c(11). Let m(z) = 27*z**3 - z + 1. Let o be m(1). Solve r*s = -4*j + 3 - o, 3*j + s = -w for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -15*n + 92. Let u be b(6). Let g(y) = 8*y - 1 - 2*y - y. Let s(a) = -6*a + 1. What is u*s(c) + 3*g(c)?\nAnswer: 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86*t + 308*t**2 + 2*t**3 - 168*t**2 - 144*t**2 to f*t**2 + s*t**3 + g + c*t and give c.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + q - 82 = -2*g, 3*g + 3*q - 117 = 0. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -720.8 - -651. Let t = r + 35. What is t rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29637676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-21)\/i)\/(i\/(i\/(i\/i**0)*i)))\/((i**(-4)*i)\/((i*i**(-5))\/i)) assuming i is positive.\nAnswer: i**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/12*120\/45.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + 45. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**5\/20 - m**4\/6 - m**3\/2 - 63*m. Factor r(q).\nAnswer: q*(q - 3)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1744110 divided by 6\nAnswer: 290685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1011011 (base 2) to base 3\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1977735 is divided by 4207.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010313022 (base 4) to base 14.\nAnswer: -74b10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of q**5\/10 - q**4\/24 - 19*q**3\/6 - 9*q**2 - 3*q. Let v(p) be the first derivative of j(p). What is the tens digit of v(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + -13 + ((28 - 12) + -10 - -2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*l - 31, 5*l + 63 = 5*v + 4*l. What is the highest common factor of 117 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 17, -6, 38, -65, -5 in descending order.\nAnswer: 38, 17, 5, 2, -5, -6, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 4211776?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*x - 4*x**3 + x**3 + x**3 + x**3.\nAnswer: -x**3 - 14*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*j + 320*j - 175*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + 0 + 0)*(1 + z - 1) - 33*z**3 + 35*z**3 + 81*z**3 + ((2 + 1 - 1)*(-1 + 3 - 1) + 1 + 4 - 4)*(6*z**3 - z**3 + 2*z**3).\nAnswer: 105*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9297 greater than or equal to 9290?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 + k**2 + 3*k**2 - 4*k**2 - 88.\nAnswer: 2*k**2 - 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 217*h**3 + 0 - 228*h**3)*(-4 - 9*h + 4) in the form k*h**4 + q + b*h + x*h**2 + o*h**3 and give b.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = h - 30*a + 25*a, a - 2 = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -7. Is 30*(k\/6 - 0) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 188 = 4*p, -5*p - u - 224 = -10*p. Calculate the highest common divisor of 11 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 6. Let h = 2 - a. Suppose -2*b = h*b. Is b at least -3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-2) - (-7)\/2. Let p(k) = 18*k - k**3 - 4 + 6*k**2 - 14*k - 6*k. Let a be p(g). Calculate the highest common factor of 30 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5112*u + 6482 wrt u.\nAnswer: -5112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170 + 53*j**3 + 170 + 21*j**3.\nAnswer: 74*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + sqrt(1300)).\nAnswer: -50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 1. Let x(b) = 6*b + 7. Let f(n) = 35*m(n) - 5*x(n). Let u(k) be the first derivative of -2*k**3\/3 + 32. Determine f(u(g)).\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6225 - 6214. Which is the biggest value? (a) 1\/3 (b) 0 (c) -4 (d) t (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 203 - 203. What is the nearest to -0.3 in 2, u, 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 8*f + 2. Let i be m(-8). Let b(k) = -13*k + 3. Let c be b(5). Is (-2)\/8*c*i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/(v\/(v\/v**10))))\/(v*v\/v**(-12))*(v**8*v)\/(v\/(v*v**(4\/5)\/v*v)) assuming v is positive.\nAnswer: v**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1))**(-1\/9))**(-26\/7) assuming u is positive.\nAnswer: u**(-26\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.7 - -0.7. Let h = 109 + m. Let w = -115 + h. Which is the biggest value? (a) -2\/3 (b) 0.3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(((-12)\/8)\/3). Let p(q) = -q**3 - q + 1. Let b(j) = -12*j**2 + 4*j + 12. Let v(i) = s*p(i) + b(i). Factor v(l).\nAnswer: -4*(l - 1)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r + 880 - 1757 + r + 877.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -20 (b) 3\/5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 103187216 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -473667016*o**3*y**3 - o**3*y - 4*o*y**2 + 8257543*y**3 wrt o.\nAnswer: -2842002096*o*y**3 - 6*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 12:32 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**3 + 89*q**2 + 577*q - 665 = 0.\nAnswer: -7, 1, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*p + d, -7*d + 66 = 4*p + 113 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88\/(-12)*105\/34265.\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 66349, 66196, 65941, 65584, 65125, 64564, 63901?\n\"Answer: -51*j**2 + 66400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27\/35 - 6\/5. What is the closest to 22 in 0.2, 2, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3184 or -2?\nAnswer: 3184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - 6) + 297899\/41580. Let y = -436\/547 - -148090\/162459. Let z = y - q. What is the common denominator of z and -5\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -104*x - 650. Determine t(-6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1 = -2. Find the first derivative of -7*i + 0*i + 7*i - 2 - 3*i**a wrt i.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111020 (base 7) in base 3?\nAnswer: -222211122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from acclllataaaclloaat. Give prob of picking 1 o and 1 a.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - y - 2*y)*(4*y + y**3 - 4*y) + y**3 + 3*y**4 - y**3.\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c + 3. Let f(h) = h**2 - 31*h - 59. Let n be f(33). Let y(s) = 8*s - 50. Let g be y(n). Give a(g).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 281 in 2, 1, -66885?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 31, 15 in increasing order.\nAnswer: -5, 15, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, 0, -5, -6, -755, 1 in ascending order.\nAnswer: -755, -6, -5, 0, 1, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2460744787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 6, -24, 14 in ascending order.\nAnswer: -24, 3, 4, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from yyyyyxyyxxyyyy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 295*a**3 + 10*a + 298*a**3 - 4*a - 889*a**3 + 295*a**3.\nAnswer: -a**3 + 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 193045493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-3 - 2)) + -7 - -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1110)\/(-296)*(-4)\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/14)\/(((-1710)\/(-735))\/(-38)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.64773 * 60.\nAnswer: -698.8638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y**1\/y)\/y))\/y*y**0)\/(y**(-8)*y**3\/y)*y**(-1\/11)*y\/(y**(-2\/21)*y)*y\/(y**(2\/3)\/y)*(y\/y**(-1\/11))\/y assuming y is positive.\nAnswer: y**(59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -5.34306675.\nAnswer: -5.04306675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 40, -26 in increasing order.\nAnswer: -26, 0, 1, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 0.3, 43386\/3529?\nAnswer: 43386\/3529","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 134 and 26867.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35098627?\nAnswer: 163, 215329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(2\/7))**27\/(w**(1\/9)\/w**3) assuming w is positive.\nAnswer: w**(4070\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -41*g**5 + 6*g - 1. Let y(c) = -41*c**5 + 7*c - 2. Suppose -39 = 11*d + 5. Let r(h) = d*y(h) + 5*q(h). Find the second derivative of r(z) wrt z.\nAnswer: -820*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**4\/12 + l**3\/6 + l**2\/2 + 2. Let y(j) be the second derivative of m(j). Give y(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 298 - 2*x + 295 + 6*x - 2*x. Let z(w) = -1. Give b(g) - 3*z(g).\nAnswer: -g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3\/7 + 54*c**2\/7 + 5900*c\/7 - 171600\/7 = 0.\nAnswer: -55, 30, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and -3.66287296?\nAnswer: 1.33712704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m - 6*h + 34, 31*m - h - 19 - 8 = 39*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/1078 and 5\/1415722.\nAnswer: 9910054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 280308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 4*l - 9*l. Let o(i) = 2*i**2 + 2*i + 1. Let m be o(-3). Calculate the greatest common factor of l and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2367.481l in millilitres?\nAnswer: 2367481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gfe when three letters picked without replacement from {f: 2, h: 2, e: 2, g: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 + 12 + 3 + -11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69 - -97. What is the smallest common multiple of 20 and r?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - k = -308 - 133, -3*h = -4*k - 1344. List the prime factors of h.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -8*i**2. Let n(w) = 0*w**2 + 4*w**2 - 6*w**2. Give n(p(g)).\nAnswer: -128*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 6*n - 4. Suppose 173 = 5*m - n*c, -2*m = m + 5*c - 79. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(6\/5)\/i)**(-1\/38) assuming i is positive.\nAnswer: i**(-1\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411050 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z**2 - 104*z - 2808. Let x(m) = -5*m + 18*m - 7*m - 3*m**2 + 3*m - 7*m + 1. Let v(u) = -2*w(u) + 2*x(u). Factor v(f).\nAnswer: 2*(f + 53)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -4.85. Let m = -6.15 - n. Let o = m + 5.6. Which is the second biggest value? (a) 0.1 (b) -3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j + 10. Let p be y(-2). Solve 12 = -4*s - p*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 50, 19, -26, -85, -158, -245?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 2*x + 3. Let t be -2 - -9 - (-6)\/(-3). What is the lowest common multiple of 8 and k(t)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-31)\/(-93))\/(((-2)\/12)\/1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/1 - 9\/7. Let f = 0.03 + -0.43. Which is the nearest to -1\/2? (a) i (b) f (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 935224207?\nAnswer: 197, 4747331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3395999077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15985.\nAnswer: 5, 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12339243 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j - 677087*j**3 - 4*j.\nAnswer: -677087*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -519 + 26*s**2 + 517 + 44*s**2 + 0*s + 6*s.\nAnswer: 70*s**2 + 6*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13513175 and 225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 3*q + 2. Suppose 15 + 17 = -4*l + 5*r, 3*r = 12. Determine s(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 593 + 355 = 2*q. Suppose 0 = -7*d + q + 135. List the prime factors of d.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1775492 divided by -1775492?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-12)*p)\/p*p)\/(p*p**2))**(6\/7)\/(p**1\/p**2)**(-14) assuming p is positive.\nAnswer: p**(-176\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(99)\/(sqrt(18)\/sqrt(2)).\nAnswer: -2 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19517 or -19520?\nAnswer: -19520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/17 (b) -0.2 (c) -0.01 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 4*j + 7. Let n be x(-5). What is g in -n*g**2 - g**2 + 5*g**2 + 28*g - 30*g = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - o - 319, o = 3 - 2. Suppose 5*r - 5*u = -24 + s, u - 2 = -r. Solve -2*w = -3*l + r*l + 16, -20 = 5*l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.9 - 0.1. Let x = -1475.7 - -1471. Let a = r - x. Sort a, -4, 3\/2 in descending order.\nAnswer: 3\/2, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + 27 + 186456\/(-2652)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*x = 2198, x + 3*x = 2*m + 1084. Let z = m + 568. What is the highest common divisor of 1264 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 133 + 111. Let o = 165 + b. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1178672 divided by 53576\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32335 and -172.\nAnswer: -5561620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1039*k**2 + 351*k**2 + 347*k**2 + 341*k**2 - 14*k**3.\nAnswer: -14*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*x**3 - 2*x**3 - 3*x**3 + (-7 - x**2 + 7)*(0 + 0 - 2*x) + 2*x**3 + 2*x**2 - 2*x**2.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -47 + -1477?\nAnswer: -1524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6.63? (a) 2\/15 (b) 1 (c) 2031 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*y - 6*y**4 + 8*y)*(2*y - 3*y + 0*y - 3 + 3 - y + (1 + 3 - 3)*(5*y + 0*y - 6*y)).\nAnswer: 18*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-2) - 406\/81242*203. Which is bigger: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 197817, -3\/4, 4 in descending order.\nAnswer: 197817, 4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 86840789 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4481 is divided by 875?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90157?\nAnswer: 89, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 20.3 + 0.019\nAnswer: 20.319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2 - 5*t - 4. Calculate q(6).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15, 41, 85, 147, 227?\n\"Answer: 9*a**2 - a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2035 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 2*x + 65. Let h be i(-9). Let u be (-7 + 225\/36)\/(h\/(-16)). Let q(g) = 13*g. Let o(k) = 12*k. Calculate u*o(w) - 5*q(w).\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 119 - 119. Solve 0*r + 4*r = h for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1129, 2221, 3313?\n\"Answer: 1092*l + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-15)*(-675)\/(-150)*4\/(-12).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -127.897 - 0.103. Let t = 1291107384 - 1291107256.00000071. Let y = s + t. What is y rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -14.4. Let c = -0.2559 - 0.0441. What is the nearest to 14 in c, -0.1, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 r when three letters picked without replacement from orerroerorrorr.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 11*o = -5*n, 0 = -7*o + 4*n. Solve 5*h - 15 + 25 = o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -7*b**3 + 6*b**2. Let s(i) = -6*i**3 + 5*i**2. Let h = 5 - 0. Let d be (7 - (0 - 0)) + -1. Let k = d - 12. Give h*j(y) + k*s(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o. Let f be z(0). Suppose -4*m = -3*m - 4. Suppose -4*c + 16 = -2*i, 1 + m = c. Solve f = 4*j - 12, 3*u + 5*j = -i*u + 20 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**3 + m**2 + 6*m + 1516. Let i be y(0). Suppose 0 = -3*q + 7 - 19. What is the tens digit of i\/12 + q\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 9*i + 2 - 1\/6*i**3 + 0*i**2. Let f(o) be the first derivative of u(o). Let c(l) = 21*l**2. Give f(c(w)).\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1632 - 154724*m**2 + 154694*m**2 + 3262 - 1630.\nAnswer: -30*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 455104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-1)*(-1)\/2. Let q(p) = p**2. Let x(k) = 5*k**2 + 4*k + 4. Let t(d) = 4*q(d) - x(d). Let m be t(-3). Which is bigger: y or m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 - 42. Let q = w - -19.5. Let u = 7 - 6.7. Which is the second biggest value? (a) u (b) 0.2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4800 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: List the prime factors of 54581117.\nAnswer: 2137, 25541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and -1182470.\nAnswer: -1182475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -188, -177, -160, -137, -108, -73, -32?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001175733 rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 12 = -0*j. Suppose 4*u + 1 = 5*v - 8*v, 5*v + 9 = -3*u. Suppose -j*t + 5919 = -5*r, u*t - 3*r = -8*r + 2997. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 3*w**2 - w - 1. Let t be i(-2). Let m(l) = -2 - 3 + 3*l + 6*l. Is m(t) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17182 at least as big as 19619?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-5)*-1)\/((-70)\/1225).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1023099\/(-1453536) - (-1)\/(-96)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**6\/80 - n**5\/40 + n**2 + 3*n. Let b(p) be the first derivative of f(p). Factor b(y).\nAnswer: -3*y**2*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 141.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -485, -481, -479, -479, -481, -485, -491?\n\"Answer: -u**2 + 7*u - 491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(8\/64 + 0). Suppose -3*q + 160 = -q. Calculate the highest common factor of u and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1001 - -926. Round n to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/3)*j*j**(-6)\/j)\/(j**1*j)**(-1\/5)*((j**(1\/2))**39)**36 assuming j is positive.\nAnswer: j**(10436\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 916 and -0.5.\nAnswer: -458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*f + 7 = -13, 2*f = -10. Solve 5*i - 4*m - 2 = 3*i, d = -3*i - 3*m - 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3550135597 to the nearest integer?\nAnswer: 1526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3611 - 2907. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from qqqqyqqqqqqqqqqqqq?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(3\/(-2))\/(96\/(-224))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(5\/(-3) + 1). Sort -0.3, r, 2\/11.\nAnswer: r, -0.3, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 15. Suppose -2*m - 2*b = -n - 12, 3*m - 3*b = -6. What is l in 5*l**m - l**3 - 4*l - 3*l**3 = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1763 + 3?\nAnswer: 1766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - -732) + -3 + 0. Suppose t - 3172 = -5*k. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 163.92786 months in millennia?\nAnswer: 0.013660655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l + 16 = -21*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -269*a - 288. Give w(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.04505 + 0.04505. Sort 12, 5\/4, 4, c, -2.\nAnswer: c, -2, 5\/4, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11875629*v**6 - 11028472*v**2 wrt v?\nAnswer: -1425075480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(168)\/(sqrt(28)\/sqrt(4)) - sqrt(24))\/(-2*sqrt(768) + sqrt(12)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*p - 84 = 0. Let u(a) = a + 4. Let i be u(6). List the prime factors of p\/(-10) - 4\/i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1608 and 7592.\nAnswer: 1525992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1\/f)**(1\/29))**(-5\/7)*(f**(-2\/5)*f*(f*f*f\/(f\/f**1))\/f)**(-30\/7) assuming f is positive.\nAnswer: f**(-78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -42 - 3?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2146875 smaller than -2146876?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2827352983?\nAnswer: 7, 13, 59, 71, 7417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(5 - 0) - -2. Is -25\/11 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (2 - 0) - (-14 - (18 - 34))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*4*sqrt(121)*-1*-6)\/((-6*sqrt(110)*2)\/(sqrt(110)\/((sqrt(11) - sqrt(44)\/sqrt(4)) + sqrt(11)))).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 53, 50, 49, 50, 53, 58?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7 + -3 - 0) + -3. Let q be (-5)\/t*(-16)\/40. Solve u - 3*v - 24 = -q*u, u + 2*v + 4 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.04, -1\/2, -2, 0.5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((0 - 3)*3)\/(112\/(-21)) and -37\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 198\/(-77)*(-1190)\/510.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1390 + -2.786261\nAnswer: 1387.213739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Round 327400 to the nearest 10000.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 39264602 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 435584532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-three quarters of a hour?\nAnswer: 645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/6*q**4 - 5\/6*q**2 + 15*q + 0 - 15*q**3.\nAnswer: 5*q*(q - 18)*(q - 1)*(q + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**5 - 3*y**5 + y**5 + (y**2 - 3*y**3 - y**2)*(-327*y + 327*y - 19*y**2).\nAnswer: 51*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 388, 777, 1166, 1555?\nAnswer: 1944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -491392.\nAnswer: -1\/491392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 8*c**2 - 5*c - 9. Let q be f(7). Solve -5*x = 4*i - 0*x - 37, -i = q*x - 28 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/568 and -133\/1704.\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 952.5324 micrometers?\nAnswer: 0.9525324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-6)*p*p**(-1\/6)*((p\/(p*(p*p*p*(p*p\/p**(-3\/10))\/p*p)\/p*p))\/p)\/p**(-2\/29) assuming p is positive.\nAnswer: p**(-4958\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 4*a - 2*a)*(-3*a - 2*a + 4*a) - 23*a**2 + 9*a**2 + 16*a**2 - 28 + (3*a - 2*a - 3*a)*(-6*a + 2*a + 3*a) - 5*a**2 + 3*a**2 + 0*a**2.\nAnswer: 4*a**2 - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 162397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + 0 + 78816\/(-4926)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000029868 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 149 - 242. Let w = 237.2 - 334.3. Let k = w - d. What is k rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10*(-26)\/4*(14 + -13). Let k = l + -63. Which is greater: k or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 4, 137, 5.\nAnswer: -5, -2, 4, 5, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1242 is divided by 178.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 24*h**3 - 1770*h**2 - 470*h + 1919. What is a(74)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 5*y + 4*a, -3*a + 118 = 115 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 5. Let t be h(5). Let q = 34 + -36. Let y be t\/q - (-4 + 3). Solve 5*g = y + 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4267322?\nAnswer: 2, 191, 11171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m**(-4))\/(m\/(m\/(m**(1\/9)\/m))))**(-31))**(-1\/31))**(3\/8) assuming m is positive.\nAnswer: m**(-19\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + x + 20. Suppose x*o = 2*o + 18. Suppose 4*t - o*t + 15 = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96203.04ng to grams.\nAnswer: 0.00009620304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52\/15 + -2\/15. Find the common denominator of (635\/780*-2)\/(5\/3) and d.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 93.7 - 10.\nAnswer: 83.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xo when two letters picked without replacement from dwoxooxexdxxwxoxe.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*q**(-9)*q)\/q*q**(-12)*(q\/(q**3\/q))**(3\/10))**(-40) assuming q is positive.\nAnswer: q**772","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 1 - (-496)\/48)\/((-2)\/(-6))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-54)\/(-4)*(-8)\/(-3). Suppose -5*x - r - 9 = 0. Let b be x\/(-4) - 1\/4. Solve 0 = b*q - 5 - 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 1. Let f(p) = -4*p + 6. Suppose 0 = -3*z + 3*o + 642, 2*o - 2 = -0. Let v = z + -216. Determine v*f(c) + 3*y(c).\nAnswer: c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 258, -2.4?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 9, -13 = -2*j - 2*n + 5*n. Suppose -j*k + 6 = -27. Solve -19 = -i + k*i + 3*x, -10 = 2*x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 10844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1566*u - 1575*u - 29 = 18*g - 20*g, g = 5*u + 16 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 14 + 29, 2*d = 5*h + 674 - 454 for h.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**2 - 3*s**2 - 4*s**2 - 8*s**3 + s**3 + s - 2*s**3 to the form g*s**2 + q*s**3 + b*s + a and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 0. Suppose 4*v + 2*y = 2, -5*y - 2 = 3. Is v + 0 - (-152)\/d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*k + 112*k = 39*k - 66*k - 5332 for k.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -94*f*g**2 - 21003*f*g + 3*f - g**2 - g - 121414076 wrt g?\nAnswer: -188*f*g - 21003*f - 2*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 349877854?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**3\/3 - 5*k**2 + 12*k - 4. Let y be m(7). Let n = y - -52. What are the prime factors of n?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 + t - t - t**3 + 0*t**2 + 0*t**2 + (0*t + 2*t - t)*(-2*t**2 + 0 + 0) + 3*t - 3*t - 2*t**3 + (-6 + 4 - 3)*(-6*t**3 - 5*t**3 + 3*t**3).\nAnswer: 36*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16473 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/100 and -125\/192.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -16*c - 412, 53618*z - 3*c = 53621*z + 75 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1570 rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y**3 - y**2 - y. Let k be l(-1). Let m = k + 3. Let z be 36\/44 - m\/(-33). Sort z, 5, 2 in decreasing order.\nAnswer: 5, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, r: 2, y: 4, i: 2, s: 1, c: 4}. Give prob of picking 1 c and 2 i.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**3 + 7*h. Let b(c) = -14*c - 7*c + 20*c. Suppose -24 = -5*i + 1. Calculate i*b(t) + n(t).\nAnswer: -2*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 11:17 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 449, 458, 481, 524, 593?\n\"Answer: c**3 + c**2 - c + 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15924115507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 5*z + 10, 0 = 2*f - 2*z - 2*z - 28. Let t be f\/15*1062\/4. Suppose -t = -2*o - o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lpyptpllyy. What is prob of sequence typ?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 24 - 12 + 3*j - 9. Let i(d) = 3*d + 2. Let u be i(-3). Let q(s) = s + 3. Let g be q(u). Determine f(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-8)\/10 + 527\/(-310))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 93\/8? (a) 0.1 (b) 5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**11*v**7)\/(v\/((v**2\/v)\/v))**(-1\/23) assuming v is positive.\nAnswer: v**(415\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -89*j - 10*j - 1809 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -155 (base 14) to base 11\nAnswer: -227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 1:25 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.293 to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296 = 9*y + 62. Suppose 550 = -o + y*o. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/38920 and -69\/9730.\nAnswer: 38920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-45)*(-10)\/(-36)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/2 and -21\/3544.\nAnswer: 3544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imkk when four letters picked without replacement from {o: 1, i: 2, w: 3, k: 3, m: 1, p: 2}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12578899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 391743040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/(-472))\/((22 - (-4543)\/(-210)) + (-16)\/(-20))?\nAnswer: 6\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-14)\/(-28) - (-308349)\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1440) + 1*sqrt(1440))\/((sqrt(64)*-1 - sqrt(64))\/sqrt(8)).\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 68 = -0*w - 4*c, -4*c - 140 = -4*w. Let n be (4 - 16\/(-6))*w\/15. Is 3 a factor of ((-14)\/(-35))\/((-4)\/(-15))*n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17165068.\nAnswer: 2, 4291267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-8) - 105\/20 - 4. Let i be (-2)\/u + 7 + (-448)\/72. Which is smaller: 2\/3 or i?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22128*d - 22149*d - 22126*d - 22130*d + 110663*d - 22127*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 89*0.2\nAnswer: 17.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*-2*(3 - 33\/9). Suppose -5*b + 8 = 3*n - b, 0 = -n - 5*b + 10. Suppose n = -v + 4*t + 27, 0*v - s*v + 2*t = -52. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 976 and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 258063 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.3 and 44656.\nAnswer: -58052.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1894)\/(4 + (-3 - 3)) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/573?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 5 + 5)*(-6*a + 2*a + 2*a) + 47*a**2 - 47 + 47 + (4*a - 4*a + a)*(-11*a + 3*a + 7*a).\nAnswer: 50*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 greater than 145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 543453 and 28781.\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 7*m - 4. Let r be z(-6). Suppose -o + 7*o - 234 = 0. What is the first derivative of -38*y + o*y - r - 1 wrt y?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4 = 8*b. Let d be 3 - 5 - 2*-1. Suppose -2*v + 4*a = -v - 11, d = -3*v - 4*a + 1. Put b, 2, v in descending order.\nAnswer: v, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15164559 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -90d + -e?\nAnswer: -91b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 5*p - 984, -9*p - 3860 = -4*x - 8*p. What are the prime factors of x?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**5 + s**5 - 3*s**5 + (-9*s + 2*s + 13*s)*(0*s - 2*s**4 + 0*s).\nAnswer: -13*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 467.1101 + -0.1101. Let u = l - 463. What is the second smallest value in 1\/4, u, 2, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-14))\/((-1188)\/(-616))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - h = -3, 4*f - 4*h = 7*f - 7 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2076 and 190646.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 1\/5*x**3 + 2*x + 0*x**2 - 1\/20*x**4 + 0. Let c(u) = 0. Calculate u.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n. Let c(a) = 1861*a + 1870*a - 3192*a. Calculate c(f(b)).\nAnswer: -539*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9360, 9345, 9316, 9267, 9192, 9085?\nAnswer: 8940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 9:54 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 2*f**2 + 2*f + 30 - 47)*(-2*f**3 + 2*f**3 - f**3).\nAnswer: 2*f**5 - 2*f**4 - 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -45, 5120, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (55\/(-10) - -6)*-1966. Round r to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -3*i. Suppose -f - f - 2 = i. Let q = 0.18 - 0.58. Which is the nearest to f? (a) 0.1 (b) q (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y - 40. Let o be 0 + 0 + -6*(-24)\/(-18). Let n be s(o). Solve 3*q - 4*x = -n*x - 4, -4*q + 4*x = 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 841764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 4, -2*s - 2*o = -6 + 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**2 + 4*r - 32. Let p(m) = -m**2 - 1. Let d(t) = b(t) + 2*p(t). What is the units digit of d(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-28)*(-18)\/90. Which is the second smallest value? (a) 2 (b) q (c) -0.1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 d when two letters picked without replacement from {d: 8, f: 1, q: 3, x: 6}?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.857052 centuries in millennia?\nAnswer: 0.1857052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 71 - 27?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-6))\/(-2))\/(29\/261).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 + 96. Let u = 57 - s. Suppose 0 = n + 6*n - 63. Solve 3*t = -6 - n, 5*y + 15 = -u*t for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*sqrt(13))**2 + 3.\nAnswer: 6*sqrt(13) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -677 + 1329. What are the prime factors of n?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 4*b = 233 - 289, -3*b + 20 = 4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5873, 81, -0.21 in decreasing order.\nAnswer: 5873, 81, -0.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2 - 78 + s**3 - 2*s + 12 - s**2. Let o be j(0). Let g = -58 - o. Solve 2*b + g = 4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2993708.07 to the nearest one thousand.\nAnswer: 2994000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -78341*l - 9949277. Give w(-127).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -124*r. Let g(u) = -878*u + 77. Calculate g(a(h)).\nAnswer: 108872*h + 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1098 - -1104. Solve -83*l = -86*l - n for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16701312 (base 8) to base 14\nAnswer: 737470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 + (-7 - (2 - 0)) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/65853 and -67\/1104867?\nAnswer: 9943803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 5, 17 in descending order.\nAnswer: 17, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -10, -5 in decreasing order.\nAnswer: 18, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5567 - -10235?\nAnswer: 5779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, b: 4, r: 2, q: 3}. Give prob of sequence bbbi.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 885 - 752. What is the greatest common divisor of o and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 2:31 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2977 is divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1413451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*a + 142 = 30, -2*c = -a + 109. Let j = 57 + c. Calculate the remainder when j*1*(-8)\/12*-15 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61 - -63. Suppose o + 3*m - 36 = 0, 0*m - 197 = -5*o + s*m. List the prime factors of o.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 9:19 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*d + 4*d + 32, 2*d = -b - 17. Let j = -6 - b. Suppose 0 = 3*p - j - 51. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 102 = -37. Let u(g) = 6*g**2 + 8*g + 11. Is u(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2988*b - 2 - 5003*b + 2.\nAnswer: -7991*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -135 + 7?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/2, -293, 358\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**2 + 61233280*h + 468689322444800 = 0. What is h?\nAnswer: -15308320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*w = -212*w + 3*p + 14, w + 5*p + 10 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -96 + 199. Let l(d) = d**3 + 8*d**2 + 9*d + 12. Let c be l(-8). Let m = c + w. What is the remainder when m is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 265 + -271. Let v(r) = 5*r + 23. What is v(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3966 + -188?\nAnswer: 37cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 4*o**2 - o + 3. Let z be l(3). Let d(m) = -6*m**2 + 50*m + 16. Let f be d(8). Let v = f + z. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72 + 198. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.3 - 0.7. What is the smallest value in t, 0.5, -1.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1087, -4, 1.45, -3?\nAnswer: 1087","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j**2 + 1. Let x be r(1). Suppose -z + x*o - 51 = 2*o, 5*o = 2*z + 102. Let w be (-4)\/6 - z\/9. Solve w*u + y - 2 - 9 = 0, -4 = -4*y for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of x**7\/210 + x**6\/120 - x**5\/60 - x**4\/24 - 13*x**2 + 2*x. Let p(m) be the first derivative of l(m). Let p(i) = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 112 = 5*a, 0*n + 2*n - 86 = -4*a. What is the remainder when 66 is divided by a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-1 + 4)) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus 42.66?\nAnswer: -42.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -232*k - k**2 + 7 - 276*k + 516*k. Give l(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-77*p - 31*p - 6*p)*((-4*p + 5*p - 2*p)*(-4 + 2 + 4) - p + 3*p - p + p + 0*p - 2*p - 5*p + 4*p - p).\nAnswer: 456*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 26 + (2 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 3*n**2 - 5*n - 4. Let z(j) = 2*j**2 - 4*j - 5. Determine -2*o(k) + 3*z(k).\nAnswer: -2*k**3 - 2*k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 7:42 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 2 = i. Suppose i*y = 39 - 34. Suppose 5*r + 3*v = 50, 0 = -r + 2*v + y + 9. Solve -a - r = -3*f, 3*f + 9 = -5*a - 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-148)\/(-222) - ((1\/(-3))\/1 - 2). Solve 5*t - i = 31 - 38, m*t - 5*i + 13 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -165 and 1.\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 234*k - 448. Let f(v) = -1. Let d(w) = 8*f(w) + m(w). Differentiate d(z) wrt z.\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3308, -3336, -3364?\n\"Answer: -28*u - 3280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19b03 (base 12) to base 16.\nAnswer: 93f3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 961\/3*y**5 + 0 + 148955\/9*y**4 + 0*y**3 - 53*y + 31\/12*y**6 + y**2 + 1\/126*y**7. Factor h(d).\nAnswer: 5*d*(d + 62)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 6*x**2 - x - 2. Let y = -14 - -19. Suppose 2*p - 40 = -2*p + 3*j, -p - y*j = -10. What is the least common multiple of p and u(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-5 - -1 - -3 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4121*d - 822. Let w(i) = -1378*i - 275. Let y(g) = -6*u(g) + 17*w(g). Differentiate y(v) wrt v.\nAnswer: 1300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 712*o**2 + o - 4. Suppose -5*w - 2*u = 5, -5*w = -2*w - u - 8. What is the hundreds digit of f(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -136.17 greater than 1.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 29*r**3 - 11*r**2 - 142*r - 549. Let v(u) = 10*u**3 - 4*u**2 - 47*u - 183. Let k(d) = -4*t(d) + 11*v(d). Differentiate k(h) with respect to h.\nAnswer: -18*h**2 + 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5 = 3. Let c be 39 - b*1\/(-2). Suppose 7*d - 5*i = 4*d + 77, -3*i = 3*d - 45. What is the greatest common divisor of c and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 103.553 to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (10 - 11) - (-24)\/(-13).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**2 + 8*r - 7. Let i(j) = 7*j**2 - 17*j + 14. Let o(m) = -4*i(m) - 9*z(m). Let y be -1*(1 + -1) + 0. Let x be (1 + (y - 0))*-5. Give o(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((-1*(sqrt(7) + sqrt(343)))**2 - (sqrt(252))**2) + (6*sqrt(77)*-2)\/(sqrt(11) + (sqrt(11) - (-1*sqrt(44))\/sqrt(4)))).\nAnswer: -784 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58 - -57.975. Let r = p - 0.175. Let c(j) = -6*j**2. Let d be c(1). Is r > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**2\/7 + 10924*c\/7 + 577680 = 0. Calculate c.\nAnswer: -348, 5810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 7 + 14 = 0. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 5*x - 30, -105 = 5*s - x - 55. Let z = 3 - 2. Let f = 21 + -127\/6. Which is the closest to z? (a) -3\/7 (b) f (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 82925455?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/386288893 or -1?\nAnswer: 1\/386288893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11\/(55\/(-30))*(-3)\/6. Solve -j*i + 5 = -8*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.61 - 0.39. Put g, -0.5, -1\/3 in decreasing order.\nAnswer: -1\/3, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(2\/20)\/((-2)\/5).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 g, and 1 a when three letters picked without replacement from graar.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 - 62. What is the nearest to -1 in 0.8, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 2*x**4\/3 + 976*x. Let r(g) = 2*g**2 + 5. Give r(o(p)).\nAnswer: 128*p**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*u + 12, -92*f + 2*u = -93*f + 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -63, -486, -1633, -3864, -7539?\n\"Answer: -60*z**3 - 2*z**2 + 3*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, -5, -28, -53, -74, -85?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6*(-12)\/(-9))\/2. What is the highest common factor of g and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1498698 and 39534.\nAnswer: 16485678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 5*f**2 + 6*f + 1. Let q be 10*(18\/(-15))\/(-2). Let y be p(q). Which is the closest to -0.1? (a) 1\/2 (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + -36 + 9 + 13.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 - 20. Suppose 0 = 4*l + b - 71. Suppose 14 = 3*x - l. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -155*m**5 - 120*m**2 - 374*m**2 + 288*m**2 wrt m.\nAnswer: -9300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7 + (-3 - 12\/(-2)). Sort -1, q, -3 in ascending order.\nAnswer: q, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - 55?\nAnswer: -4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 8*y + 9. Let g be f(-7). Suppose -4*k - g*x = -238, -4*x - 7 = -3. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 67, 72, 77, 82, 87?\n\"Answer: 5*h + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/17 (b) 1\/2 (c) -2\/719 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from ffvffffffvf?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 - 6 + 15 - 9. Let r(b) = b + 3. Let j(a) = -1. Let t(m) = 3*j(m) + r(m). Give t(p(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**2\/7 + 220*z\/7 + 2944\/7 = 0. Calculate z.\nAnswer: -32, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1511881 divided by -34\nAnswer: 1511881\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*l**2 + 34 + 203*l**2 - 67 + 102*l**2 + 35 + 370*l**2.\nAnswer: 763*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*o = -54, 3*h + 5*o = 4*o + 33. Suppose 5*p + 160 = 9*p. Let q = p - 22. What is the lowest common multiple of q and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 8*c**2 + 6*c - 3. Let f be d(-7). Let u(t) = 2 + 2*t**2 + 5 - f*t - 4. List the prime factors of u(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -w*x**4 - 38*w*x**3 - 50*w - x**4 + 4*x**2 wrt x?\nAnswer: -24*w*x - 228*w - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5256775?\nAnswer: 5, 37, 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -232*i + 228*i + 8. Suppose -8*z = -0*z - 120. Solve z = t + i*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 12 + 24 = 0. Let b = -11 + l. Is b less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at most -1267\/239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 4)*(-4*f + f + 2*f)*(24 - 246 + 74) to the form d*f + n and give d.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8805649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a centimeter in millimeters?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -252 (base 6) to base 2\nAnswer: -1101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40103 + 1283195\/32. Let l be 54816\/21 - (-22)\/(-77). What is the common denominator of (l\/(-735))\/((-8)\/7) and o?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 359188, -4 in descending order.\nAnswer: 359188, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*u - 9 = -124*u, 0 = -3*q + 5*u for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1309*n - 1252*n - 2072*n + 4631*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267 + 1352*n**2 + 1356*n**2 + 1357*n**2 - 4065*n**2 + n**3.\nAnswer: n**3 - 267","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -h + 3*h - 14, 3*t - 5*h - 7 = 0. Let v be (720\/(-6))\/(t\/(-8)) + 0. Let b = v - -284. List the prime factors of b.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 + g**2 + g**2 - g**2 - g**2 + g**2 + (-2*g - 3 + 3)*(2*g + 2 - 2) + ((5 + 2 - 3)*(-3*g + g + 0*g) + 3*g - 135*g - 18*g)*(0*g + 0*g + g).\nAnswer: -162*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**2 + 1072*t - 14812 = 0.\nAnswer: 14, 1058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12aa1a2 - -2?\nAnswer: -12aa1a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.12, -1, 1, 0.1, -0.464 in decreasing order.\nAnswer: 1, 0.12, 0.1, -0.464, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*t + 9*t + 248 = 73 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 777, 2\/13?\nAnswer: 777","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 14*y + 37. Let z be l(-13). Is 53 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*i**4 + 4*i**2 + 24 + 6603*i + 0*i**4 - 6604*i to s*i**2 + l*i**3 + h*i**4 + d + j*i and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1664*c**2 - 816*c - 940478?\nAnswer: -3328*c - 816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 5*w + 4. Let m be k(14). Suppose -m*f - 540 = -129*f. Round f to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15383.\nAnswer: 15383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12922791?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j + 18*j - 8 - 6*j - 8*j. Let l be -2 - (-1)\/((-1)\/6). Let s be g(l). Solve -3*d + s*d + 15 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 182325 and 9555?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Expand (51 - 84*u**2 - 51)*(3 - 3 - 2*u) - 10*u**3 + 2*u**3 - 13*u**3.\nAnswer: 147*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) - (sqrt(8) + 4 - sqrt(8))) + -3 - (5*sqrt(40)\/sqrt(5))**2.\nAnswer: -207 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**3 + 5 + 130*a**2 - 131*a**2 + 0 in the form b*a**3 + s*a + y + d*a**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -17*u + 14*u + 5, 5*u = 5*d + 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 - -51. Let a(p) = -2*p + 1. What is the tens digit of a(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - -1001000100111?\nAnswer: 1001000110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.004 or 0.4?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.4 + -28.24868?\nAnswer: -2.84868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1749 and 160656?\nAnswer: 93662448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 118 and -0.41.\nAnswer: 117.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 271.7553 grams?\nAnswer: 0.0002717553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -7\/204549822?\nAnswer: -7\/204549822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.11 + -0.49. Let h = x - -0.98. Let g = 10 + h. Round g to zero decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 500 - 6504\/13. Let o = -7\/65 - v. Sort o, 3\/4, -2.\nAnswer: -2, o, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 23*d**3 - 29*d - 20. Let s(z) = 8*z**3 - 10*z - 7. What is -17*s(p) + 6*u(p)?\nAnswer: 2*p**3 - 4*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2612261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -11*w**8\/20160 + w**7\/2520 + 2*w**5\/5 - 23*w**2. Let x(d) be the third derivative of s(d). Suppose x(b) = 0. What is b?\nAnswer: 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/171 and -143\/570.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 582, 595, 616, 645, 682, 727?\n\"Answer: 4*w**2 + w + 577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -51499018.\nAnswer: 25749509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -72833 * 0.014\nAnswer: -1019.662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in 0.6, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 44 - 40 = 0. Suppose -8 = 3*u - 2*a, j*u + 5*a - 3*a + 22 = 0. Let w be 0*4\/u*(-3)\/4. Solve -2*r = 2*k - w + 6, 0 = 5*r - 3*k - 25 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - -4*(-2)\/4. Let z(b) = 3 + 0 + 8*b + 0. Calculate z(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a - 5\/6*a**3 + 5\/2*a**2 - 1\/120*a**6 + 0 - 1\/20*a**5 + 1\/12*a**4. Let h(f) be the first derivative of p(f). Give h(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 75*h + 613. Let x be j(-8). Solve x = 7*i - 22 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3472\/(-252) + ((-3148)\/2361)\/(0 - 1 - -7)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8668976.\nAnswer: 2, 23, 23557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 35. Let g = w + -10. Calculate the highest common divisor of g and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14553, -14552, -14551, -14550?\n\"Answer: a - 14554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1824128600 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rkpb when four letters picked without replacement from ppkrbpe.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -5\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 7. Let l(x) = -x**3 - 3*x**2 + 4*x + 6. Let w be l(k). Let q be 20\/w*(-9)\/(-6). Solve 19 = -3*r - q*i, -2*i + i - 11 = -3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 10:17 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**4\/11 + 2522*g**3\/11 + 629556*g**2\/11 - 1153359424*g\/11 - 525656320 = 0.\nAnswer: -638, -5, 952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5)*u**(-1\/4)\/u)\/(u*u\/(u*u**(-1\/3))*u)**43 assuming u is positive.\nAnswer: u**(-1279\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c + -8?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3613, -1, -2 in decreasing order.\nAnswer: 3613, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 12:34 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2838 a factor of 79753476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -36046 divided by -2?\nAnswer: 18023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 5*d - 2. Let n(h) = -h**2 + 8*h + 17. Let o be n(10). Calculate r(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89266*z**2 - 89266*z**2 + 23679*z**3.\nAnswer: 23679*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 7*b**2 - 32 - 34 + 57 + 6*b. What is the tens digit of o(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13932, 111503, 376332, 892047, 1742276, 3010647?\nAnswer: 4780788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -30*h + 164 + 43 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 159 = -7. Suppose b + 4*y - a = -y, -b = -5*y - 33. Suppose v = -4*v - c + 101, 2*c + b = 3*v. Is 19 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3*c + 10 + 11 = 0, -10 = -5*c. Solve -w + 5*b = -8, 10 = -w - b - q*b for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 11*w - 6. Let d be i(-11). Let y(j) = 4*j - 13. Suppose 5*q - 14 - 41 = 0. Let k(m) = 2*m - 7. Calculate d*y(p) + q*k(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1065841g in tonnes?\nAnswer: 0.0000001065841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*w - 742*w + 392*w + 199*w.\nAnswer: 37*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37*h*j*u**2 - 2*h*j*u - 2*h*u**2 + 2*h*u - 30*j*u**2 + j*u + j + 2*u**2 + 888*u + 3 wrt u?\nAnswer: -74*h*j - 4*h - 60*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 24*d - 294. Let t be a(-9). Solve 0 = -7*q + t*q + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-4500)*135)\/((54\/(-105))\/(-6))?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 272120*j**3 - 23925*j**2 - 2*j wrt j.\nAnswer: 1632720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 8 + 0 = 0. Let q(y) = 0*y**3 - y + m*y**3 - y - y**2. Let v = -1446 - -1448. What is q(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 257473299 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 67036870 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3)\/(3\/1618))\/(-2)?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h**2 - 5*h - 18. Let a be u(-3). Let y = a - 30. What is the third derivative of -11*n**2 - 5*n**y + 8*n**2 + 11*n**3 wrt n?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 11\/63, -2, 3, -1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 886?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 57*d + 735. Give z(39).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 2*z**2 - z + 3. Let x be k(-3). Let q = x + 6. Suppose 0 = -32*m + 33*m - 1. Calculate the smallest common multiple of m and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 16 + 16. Suppose c = 4*z, -6*z + 2*z + 6 = 3*a. Sort 4, -13, a in decreasing order.\nAnswer: 4, a, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 9 + 7)*(0*u**3 - u**3 - 4*u**3).\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*o**2 - 7 + 7 + (-153 + 153 + 7*o)*(3*o + 2*o - 6*o) to the form t + y*o + d*o**2 and give d.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1642428911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -136.9 (b) -0.1 (c) -57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474854?\nAnswer: 2, 233, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64.93 + 64.43. Suppose -93 = 2*a - i, 2*a - 2*i = 9 - 103. Let v = -139\/3 - a. Sort q, -4, v in increasing order.\nAnswer: -4, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 7*i**2 - 6*i + 5. Let v be m(-6). Suppose -4*f - g = 5 + 14, 25 = -v*f - g. Is ((-45)\/f)\/((-1)\/(-2)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 + 69*m**2 - 16900*m.\nAnswer: m*(m - 100)*(m + 169)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 10*y**2 - 2483*y - 685. What is m(248)?\nAnswer: -1429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38398 is divided by 1097?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 66, 102, 140, 180?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 76*c + 40 = 80*c, 4*n + 2*c - 36 = 0 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**4 + j**3 + 12833*j**2 - 3*j + 2023741 with respect to j.\nAnswer: 8*j**3 + 3*j**2 + 25666*j - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4505 divided by -158\nAnswer: -4505\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/r**36*r*r**(-5\/2)\/r*r*r**(-2\/103)*r\/(r\/(r**(10\/7)\/r)*r) assuming r is positive.\nAnswer: r**(-52043\/1442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 2*v - 3*v)*(0*v + 3*v - v) + 17*v**2 - 27*v**2 + 138*v**2 - 1.\nAnswer: 126*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 8:21 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 48 = 336. Find the common denominator of x and -5\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 3\/2*b**3 + 82*b**2 + 0*b + 3\/16*b**4 - 1\/1260*b**7 - 7\/720*b**6 + 0 - 1\/40*b**5. Find z, given that x(z) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 264 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -291, -1168, -2633, -4686, -7327?\n\"Answer: -294*u**2 + 5*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.80000034 + 0.8. Round p to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 279 + -278.6. Let q = k - 1.4. Which is the nearest to -2\/3? (a) -2 (b) 0.03 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19862532 by -40371.\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -29*r**6\/120 - 8*r**5\/15 - 389*r**3\/6 - 282*r**2 + 2*r. Differentiate w(o) with respect to o.\nAnswer: -87*o**2 - 64*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -5*w + 74. Suppose -w*u + 23*u = 301. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/(-4))\/(1\/(-2)). Solve 2*p = -0*p + u - 1, 5*u = v*p + 15 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 24. Suppose w*m + 3*b = -m - 51, -5*b + 91 = -m. Let h = -196\/3 - m. Put 1, 8, h, -2 in descending order.\nAnswer: 8, 1, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 12*z + 10. Suppose z = -6*d + 24. Suppose 0*v = v + 2*q - 28, -4*q = d. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**3 + 3171*l + 9*l**2 - 3171*l.\nAnswer: -7*l**3 + 9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 5:52 PM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*3)\/(3\/296*74)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61325671*a**4 + 3*a**2 + 9896019*a wrt a.\nAnswer: -735908052*a**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 40*q**2 + 2*q + 1. Let m be l(-1). Suppose -5*x = -2*x - m. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0058241348 rounded to six dps?\nAnswer: 0.005824","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - (-2)\/6)*(16 + -10). Suppose -179*o**2 + 6*o**n + 50*o**2 + 6*o = 0. Calculate o.\nAnswer: 0, 2\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*i**3 - 721*i**3 + 132*i**3 + 139*i**3 + 151*i**3 + 137*i**3.\nAnswer: -33*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 5*j + 5*j)*(1 - 4 + 2)*(-4*j + 0*j + 2*j)*(-4 + 0 + 2).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a week in hours?\nAnswer: 882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*r - 114 = -9*b + 30*r, -2*r - 2*r + 63 = -12*b - 9*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h + 13. Let s be (-2100)\/(-120)*(-4)\/5. What is j(s)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -11*o - 3. Let z(d) be the third derivative of -7*d**4\/24 - d**3\/3 - 36*d**2. What is -5*f(t) + 8*z(t)?\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 4, -10611, -5 in increasing order.\nAnswer: -10611, -5, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + -4)\/((-1)\/(-16)). Let b = y - -30. Let o(i) = 2*i**2 - 8*i + 4. Let g be o(6). Calculate the greatest common factor of g and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4959161173?\nAnswer: 4959161173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 10. Let j be z(0). Suppose -5*c + j = -5. Solve 0 = 4*v + c*w + 8, -w + 2*w + 4 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(3\/7))\/f**5)**23 assuming f is positive.\nAnswer: f**(-713\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 505447 is divided by 275.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0954 and -5.\nAnswer: -0.477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4\/3, -2\/7, -0.2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**2 - 920*z. Let w(v) = -34*v. Give m(w(l)).\nAnswer: 3468*l**2 + 31280*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 14 = -2*g, -2*l - 3 = l - g for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 106 = -30. Suppose 0 = z - 3*z + l. Does 19 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 5*f + 36, 20*f - 16*f = -3*h - 31. Let l be 47\/((-2)\/30 + 0). What are the prime factors of h\/3 - l\/9?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4211 - 4272) + (2 - -93).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89681, -179410, -269191, -359024, -448909, -538846, -628835?\nAnswer: -718876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 5*x + 0*x)*(-4 + 1 + 2)*(-562*x - 6*x + 229*x - 1865*x).\nAnswer: -4408*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 9:08 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17103521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 3*n - 31, -n - 141 = -2*z - 3*z. Calculate the greatest common factor of 98 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 42718315?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 23*u**2 + 62*u + 46. Let x be k(-20). Let w(g) = -5*g**2 + 3. Let n(q) = 24*q**2 - 14. Give x*n(p) + 28*w(p).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3040 and 467780?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 c when four letters picked without replacement from {c: 4, b: 3, p: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 21 = 9*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j\/j**12))\/j)\/j**(-14)*j*j\/((j*j**10)\/j)*j*j**(3\/8))**(-4) assuming j is positive.\nAnswer: j**(-139\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -23c?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -f**6\/6 + 43*f**5 - 845*f**4\/3 + 560*f**3 - 2647*f. Factor p(j).\nAnswer: -5*j*(j - 168)*(j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-12)*(1 - -3). Let v = -0.36 - 1.64. Which is smaller: d or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 - -65. Which is the closest to 2\/3? (a) -3 (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-5))\/((-1440)\/(-450))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 911368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 4*t. Let g be d(-4). Suppose 0 = 5*n + o - 12, -4 = -2*o. Let -2*u**2 + 8*u + g*u**n + 0*u**2 - 8 = 0. What is u?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -9*z**2\/2 + 40*z + 49. Differentiate q(d) with respect to d.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 44\/5 of a decade?\nAnswer: 1056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.14+2167359\nAnswer: 2167359.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(0 + (-2)\/(-4)). Suppose 0 = -4*v, 5*b - 4*v = -0*v - 15. Let h be (16\/(-2))\/(b - -2) + 0. Solve -4*j = -2*s - 2*s + h, 2*j = -2*s - l for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1980258 divided by -367?\nAnswer: -1980258\/367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 72.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*a. Let v(m) = m + 5. Let s be v(a). Suppose s*j - 2*r - 3 - 3 = 0, 8 = 2*j + 2*r. What is the remainder when 5 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 559443 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-83 - -85 - (-1 - -5)) + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3332983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -1. Suppose 3*x - 2*o = 3 + 9, 0 = x + b*o + 4. Let g(i) = 3*i + 0*i - x*i - 1. Give g(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5218*s = -5224*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by -215\nAnswer: 34\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -124477\nAnswer: -13\/124477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l + 6. Let h be m(-4). Suppose h*o + o = -2*x - 44, 60 = -4*o - 2*x. List the prime factors of (o\/12)\/(2\/(-24)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (-9 - 10 - (-10 - -12)) + 111.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112046 = -13*i + 60*i - 114067 for i.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 6*l - l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (59 - 50) + (-1 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(448)*-4)\/sqrt(8) - sqrt(56))\/((sqrt(48)\/sqrt(3))\/sqrt(2)))**2.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 1:07 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {c: 4, a: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 13*o - 13. Determine n(10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11556 divided by -4?\nAnswer: -2889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 p, and 2 c when four letters picked without replacement from llylycpcp.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (0 + 2)\/2. Suppose h = -5*z - 6 + 61, -5*h = -k*z - 188. Suppose -n = -0*n + w - 26, -2*n + h = -w. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2698600\/5356 + -2 + 56\/26 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lsslqsgsgss. What is prob of sequence gqs?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27674*h**3 + 26218*h**3 - 7*h - 53882*h**3.\nAnswer: 10*h**3 - 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 70639752 or 70639746?\nAnswer: 70639752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + w + 4. Suppose w*t - t - 24 = 0. Suppose -s + t = 3*s. Solve -k = s*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -279 divided by -587661.\nAnswer: 93\/195887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 13) to base 3.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 8 = -8*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*s**3 - 65 + 59 + 4*s**3 in the form d*s**3 + q*s + o*s**2 + c and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hcuu when four letters picked without replacement from {u: 2, c: 1, h: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 3*j**2 - 2*j - 1. Let l be m(-3). Suppose -l*p - 1 = 14, 3*b - 3 = -3*p. Is 23\/b*(1 - -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -50*l + 1317. What is b(27)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 18\/5 of a decade?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 45*i - 14 + (0*i + 0*i - 3*i)*(-1 - 2 + 4) - 2*i + 2*i - i to the form g*i + s and give g.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 1692*a + 1915. Let c(n) = 1691*n + 1942. Let o(h) = 4*c(h) - 5*k(h). What is the derivative of o(v) wrt v?\nAnswer: -1696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e983e - -4?\nAnswer: e9843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 5*s + 15, -4*s - 12 = -7*s. Let g(r) = 19*r + 5. Let k be g(-5). Let t be j*-1 + (-465)\/k. Sort 0.5, t, -4 in decreasing order.\nAnswer: 0.5, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 4638.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - x = 2*x - 17, -15 = -5*b - 5*x. Let k(o) = 45*o**2 - 186*o + 26. Let r be k(4). What is the smallest value in r, -2\/15, 20, b?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*x**2 - 27*x**2 - 33*x**2 + 33 + 92*x**2.\nAnswer: x**2 + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 31758000 to the nearest 100000.\nAnswer: 31800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s + 4*s + 4*s)*(2*s - s - 2*s) + s**2 - 2*s**2 + 2*s**2 - 3*s**2 - 2*s**2 + 8*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4*o = o + 1128, 1397 = 5*h - 3*o. Let w = 75 + 120. Let a = h - w. Is a a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*j + 44, -2*j + 4*j - 2*s = 24. Suppose j = t + 1. Let z = 14 + t. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/8, -2\/23, -13, 3\/5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 678*c + 360*c + 367*c + 352*c - 1758*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 21913.85 to the nearest 100.\nAnswer: 21900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10735*w**4 - 225425*w**3 + 210*w**2 = 0.\nAnswer: -21, 0, 2\/2147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 5, -0.9 in decreasing order.\nAnswer: 5, -2\/5, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 51.\nAnswer: -5\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 787751.\nAnswer: 787751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p**2 + 56*p - 48. Calculate w(-15).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28265 is divided by 48?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 118*n + 1776. Let k be r(-15). What is the highest common divisor of 6 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12522.\nAnswer: 2, 3, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/6)\/(1\/(-6)). Suppose z = 4*a - 3*a - 4, 4*a - 48 = -4*z. Sort z, -14, f in decreasing order.\nAnswer: z, f, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 19. Let c = q + -2. Let h be -2 + ((-12)\/(-15) - 14\/c). Are h and -8\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -246 - -273. What is the derivative of 67*o - 104*o - y + 79*o wrt o?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4588857 and 5551?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 8*r**2 - 8*r - 7. Let a be t(7). Let p = a - -6. Let n = 4 + p. Sort n, 4, 0.\nAnswer: n, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9d0 (base 15) to base 5\nAnswer: -32340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from oossfsossoqbbffosff.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2132256 (base 7) to base 13.\nAnswer: -91533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 10*v + 20. Let r(a) = 19*a + 40. Let z(j) = 11*d(j) - 6*r(j). Let m be z(-6). Solve -m = -5*c + c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1329.11 - -1234.2. Let b = 132 + -226. Let f = g - b. Round f to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*j + 16 = 0, -4*h + 3*j = 44. Find the common denominator of -22\/27 and (-2323)\/1012 - (-2)\/h.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10068c0 (base 14) in base 9?\nAnswer: 15173483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 2:43 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 13. Let m = -2 + 8. Let g be p(m). Let d be 0\/((-1)\/(1\/2)). Solve -2*a - 2*z - z - g = d, 29 = a - 5*z for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (60 + 30*g + 33*g - 60*g)*(-2 + 5 - 1)*(29*g - 6*g + 32*g) to u*g + d + y*g**2 and give u.\nAnswer: 6600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1501476 - 7?\nAnswer: -1501484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1649 or 1650?\nAnswer: 1649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*d**2 - 1\/5*d**3 + 1\/5 + 1\/5*d.\nAnswer: -(d - 1)*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*0.461\nAnswer: 0.461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xtt when three letters picked without replacement from {x: 5, s: 7, t: 4}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*f - 5 = 7, 0 = 4*r + f - 4. Suppose 3*n = n + 2, 2*z + 2*n - 22 = r. Suppose 0 = i - 5 - z. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*m + 2. What is the first derivative of 2*g + 1 - g - m wrt g?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*m = 145 + 140 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 4*v**2 - 4*v + 4. Let t(u) = -9*u - 2 + 16*u + 0*u**2 - u**2. Let h be t(6). Let s(k) = -k**3 + 3*k**2 + 3*k - 3. What is h*s(w) + 3*y(w)?\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -157092, -304363, -451622, -598863, -746080, -893267?\n\"Answer: j**3 - 147278*j - 9815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**4 + 0*a**2 + 0*a**2 + (2 + 6 - 3)*(4*a**4 - 2*a**4 + a**4).\nAnswer: 14*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -186*n**4 + 95*n**4 + 4*n**3 - 4*n**2 - 1 - 1 + 101*n**4 as y*n + s + f*n**4 + v*n**2 + m*n**3 and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1257738*r**3\/11 - 17608336*r**2\/11 + 56*r\/11.\nAnswer: 2*r*(r - 14)*(628869*r - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 5*s**2 - 2*s + 15. Let w be k(5). Suppose -912 = -2*p + 3*y, -w*p + 3*y - 1406 = -3704. Does 66 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/8 in 1\/30, -0.11, -1\/17, 1, 4?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 480\/36*2\/(-12) and -15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(((-3)\/8)\/((-1)\/4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3115 is divided by (-1)\/(-2) + (-2550)\/(-100).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.308 + 0.0651\nAnswer: 0.3731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-5)*-3)\/((-28)\/((-13860)\/33))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.07, -1\/28, 61274\/75?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - 3)*(-1)\/5. Suppose 2*t + h = 3*t. Let i(d) = 0 + 0 + 3*d + 0. Calculate i(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253*n + 174*n - 21200245 = 72*n. List the prime factors of n.\nAnswer: 11, 61, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (75 + -72)*2\/(-6). Solve -6*q + 3 = -9*q, -5*o + 5*q - 15 = k for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 578, 314 in ascending order.\nAnswer: -16, 314, 578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4218\/2765 - -2\/1185. Find the common denominator of -59\/33 and o.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, y: 2, x: 2, a: 3}. What is prob of picking 2 n?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*4*4)\/sqrt(6)*1.\nAnswer: 64*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*m + 56*m + 0*y = 3*y - 43, 29 + 0 = -5*m + 3*y for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-266)\/304)\/(8\/160)*(-6)\/(-5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 128 - 644\/5. Let v = y + 2\/5. Put -9, -1\/8, -3, v in decreasing order.\nAnswer: -1\/8, v, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 92085 and 21.\nAnswer: 92085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5 = -a + 1, 4*a - f - 5 = 0. Let w be 4 - a - -2*2. Suppose 50 = w*u - 13. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001765710477 rounded to seven dps?\nAnswer: 0.0017657","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 - -11.4. Let k = -80.8 - -92. Let u = j - k. Sort 4\/7, 0.5, u in descending order.\nAnswer: 4\/7, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zrrirriuiuuzz. What is prob of sequence rzu?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -415? (a) -7 (b) 3\/34 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (135\/(-180))\/((-2)\/(-8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12.24*5\nAnswer: 61.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-6)\/(-15))*(-6)\/75\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.13? (a) 8 (b) -1\/4 (c) 0.2 (d) 5\/59 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 570206 and 115934.\nAnswer: 2366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1419 and 645?\nAnswer: 7095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 22*j**2 + 25*j - 48. Let v be m(23). Let z be (3\/(-6))\/((-2)\/(-4)). Put z, v, -3 in ascending order.\nAnswer: -3, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2223134 (base 5) to base 7\nAnswer: 222124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1756053 - 2?\nAnswer: -1756055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -202.5*342.\nAnswer: -69255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1874811.\nAnswer: 3, 17, 36761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33*(-2)\/6*7\/((-56)\/16)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -540 - b**2 + 541 - 75*b**3 - 9*b + 209*b**3 + 10*b to the form h*b + c + k*b**2 + r*b**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 2*w - 15, 4*w + v = -0*w + 21 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 388.57112 rounded to zero decimal places?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14366139187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 293\/5 - 7416\/85. Let k = 3581520 - 608855349\/170. Let p = t + k. Find the common denominator of 87\/2 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12260, -24582, -36904, -49226, -61548, -73870?\n\"Answer: -12322*a + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*s - 19, -2*v = -2*s + 3 + 7. Let j(m) = -35*m - 111. Determine j(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 2e8d1c?\nAnswer: -2e8d1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o = 6 - 30 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 73, -0.3, 0.5.\nAnswer: -21, -0.3, 0.5, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 3. Let w = x - 5. Let g = -1 + 1. Which is the second biggest value? (a) 2\/5 (b) w (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -147255.82510107 - -148686.825108. Let r = x + -1431. What is r rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 1\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 132*b**2 + 2*b - 1. Suppose 100 = -4*z + 104. What is the hundreds digit of m(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5 + -3252)*-1)\/((-18)\/(-2358)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 + -231\/5. Let g = -4827 + 4827.3. Which is the smallest value? (a) m (b) 1 (c) 0.1 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23805, -47609, -71413, -95217, -119021?\nAnswer: -142825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23853072 to the nearest integer?\nAnswer: 4884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1144 = -134*l + 145*l. Suppose l = -25*z + 979. Is z a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 4*i**2 - 5*i - 3. Let r be l(-5). Let a(n) = -10*n - 3. What are the prime factors of a(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3946040 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 y = 33.077 - 0.077. Let s = y + -33.3. Suppose 2*v + 31 = 37. Which is the smallest value? (a) s (b) -1\/5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -111, -151, -195, -243, -295?\n\"Answer: -2*c**2 - 34*c - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4292 - 4292.7305. What is o rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -9. Let h = 3 + p. Let w be -2 + (h + 8 - 2). Which is greater: w or 7\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 4*o = 5*f - 354533, 4*f - 283626 = 3*o. Suppose f = 13*t + 2*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 5 + 2 + 3*k as y*k + d and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23766 is divided by 960.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*6*(sqrt(1029) + sqrt(1029)*-2 + sqrt(1029)))\/(6*2*sqrt(1008)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 - 16*m - 266. Let s be d(-14). Is s not equal to -434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1114099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 28*m**3\/3 + 21*m**2 + 34*m + 40. Let u(p) be the first derivative of w(p). Differentiate u(a) with respect to a.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppchcpbpzpcph. What is prob of picking 1 h, 1 c, and 1 b?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420 = 4*b - g, -b - 5*g + 444 = 3*b. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a35b4 - -5?\nAnswer: a35b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -592948 + 1482429. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 34. Let g = h + -9. Find c, given that -3*c**5 + 47*c + 6*c**4 + 3*c**g - 6*c**2 - 3 - 6*c**3 - 38*c = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1 - 0.1. Let h = -177.77 + 178.17. Which is the nearest to t? (a) -6 (b) 5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12444858*o**2*r + o**2 + 7*o + 60955 wrt r.\nAnswer: 12444858*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**5 + 171*n**4 + 2978*n**3 + 2922*n**2 - 57121*n + 51051 = 0?\nAnswer: -13, -7, 1, 3, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -215, -429, -643, -857, -1071, -1285?\n\"Answer: -214*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15957 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 218*229\/4 - (-295)\/590?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 11 + 33 = 4*y, 3*r = -3*y + 21. Find d such that -4\/7*d**4 + 0*d + 0*d**2 + 0 - 12\/7*d**r = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1820 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -37*h + 188. Let w be t(5). Find the third derivative of -4*a**3 - 3 + 16*a**2 - 10*a**2 + 4*a**3 + 82*a**5 + a**w wrt a.\nAnswer: 4920*a**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p - 10*p + 9*p - 40.\nAnswer: -p - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y + 342 + 367 = -2*y + 199 for y.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/5 of a millennium?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/4 + 2 - -139. Let s be (12\/14)\/(5\/x). What is the highest common factor of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1054 + -3097\/3. Let f = -22 + q. Let m = -2.319 - 0.681. Sort m, -1\/2, f.\nAnswer: m, -1\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpkw when four letters picked without replacement from kkwpkwwkkwwwkwkkwkk?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 1 + 1)*(2*j + 0 + 0) + (133 - 39*j - 133)*(0*j - 3*j + j) + (-5 + 3*j**2 + 5)*(-2 + 1 + 2) - 1 + 1 + 2*j**2.\nAnswer: 79*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, 20, 76, 156, 260, 388?\nAnswer: 540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 80\/1400 - (-1168)\/(-840)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 7*d - 11, 6919*d - 6924*d + 5 = -3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 7*k**2 - 15. Let i(q) = -q**2. What is l(i(a))?\nAnswer: 7*a**4 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 450\/(-350)*4\/(-18).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.26 and -0.38.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*c**2 + 189*c**3 - 2*c - 42*c**2 - 181*c**3 as l*c**2 + w*c + i + t*c**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 5:35 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(50))**2 + (sqrt(3) + 0 + -1 - sqrt(3)).\nAnswer: -22\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -67425358*p - 125155694?\nAnswer: -67425358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1034*j - 1034*j + j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11234*n + 7072*n - 1463*n - 808464 = 0 for n.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -7*q**2 - 391*q + 466. What is the remainder when 3256 is divided by g(-57)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 7*t + 38. Let i be l(-5). Find the first derivative of -23 - 27*o - 33*o + i*o wrt o.\nAnswer: -57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 divided by 6?\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -107*y**4\/6 - y**3\/6 - y**2. Suppose 14 = -3*g + 11. Is m(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -u**5\/20 + 23*u**4\/12 - 23*u**3\/6 + 13*u**2 - u. Let i be h(22). Let v(x) = -x**2 + 3*x - 4. What is v(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -160*f + 684. What is the remainder when 227 is divided by g(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/24)\/(24\/(-252)))\/((-2)\/8)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 0) + 3\/5*15. Let p(d) = -29*d + 25. Let b be p(-3). Calculate the greatest common factor of b and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 22 = -3*l, -2 = -d - 0. Suppose 3*v = 4*p + 117, 2*p - l*v = -3*p - 147. Let f = 69 - 97. Which is smaller: p or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65492683 - 20145004. Let f = -28825802 + c. Let k = f + -8021877. What is k rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.2, 4, 0.3, -245.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-33) - 30\/44. Let c = -0.4 + 5.4. Let j = -0.4 + 0.8. What is the smallest value in n, c, j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 109 + 121 - 3*r - 388 + 129. Calculate j(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 7*r = 10*r, 0 = 2*g - r. Suppose 4*i + 152 - 208 = g. Calculate the lowest common multiple of i and 2\/5 - (-78)\/5.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 4, 6, 1, 3 in descending order.\nAnswer: 20, 6, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 12:32 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 + 8*x. Let z be q(7). Suppose -b - 4*b + z = 4*t, -t = -4*b + 140. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 - k + 74. What is the tens digit of i(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**5 - 6682*w**4 - 139654*w**3 - 710438*w**2 + 139656*w + 717120 = 0.\nAnswer: -3320, -12, -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -322151415 or -322151414?\nAnswer: -322151414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.16 - -0.16. What is the closest to -0.1 in -0.4, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11457 + -267.\nAnswer: -11724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llmm when four letters picked without replacement from {l: 2, m: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19072 divided by 23?\nAnswer: 19072\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18573, -37161, -55749, -74337?\nAnswer: -92925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n\/n**(-1\/10)*n)*n))\/n**11*(n**(-1\/4))**15)**21 assuming n is positive.\nAnswer: n**(-5733\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6540\/5450*(-5 - 290\/(-68))\nAnswer: -15\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11363?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d + 3. Let c be -2*(-5)\/(2 + -1 + 1). Suppose t + c*j = 2*t + 15, -6 = -3*t - 2*j. What is the lowest common multiple of s(t) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -104 + 243. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 1. Let f be v(-3). Let h be (-800)\/(-6) + 10\/15. Let c = h + -90. Calculate the greatest common factor of c and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-5) - (-26)\/10. Factor -1 + 2*r - 3 + w - r**2.\nAnswer: -(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5000662488+-0.05\nAnswer: 5000662487.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14.2959 + 0.1641. Let y = f + 347.74. What is y rounded to the nearest ten?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = s - 9. Suppose -2*f - 2*f + s*f + 1 + 3*f + f**2 = 0. What is f?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, 1, 477, -30, 3 in ascending order.\nAnswer: -30, 1, 3, 87, 477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2151281183?\nAnswer: 53, 3371, 12041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 0. Suppose 6 = q - 0*v + 5*v, -4*q + 3*v + b = 0. Sort -1, 0, q in decreasing order.\nAnswer: q, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -4*y - 4, -33*y + 36*y + 1 = -2*x for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -476*i**2 + 537*i**2 + 63*i**2.\nAnswer: 124*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 415357 and 18059.\nAnswer: 415357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2796109, 5592256, 8388403, 11184550?\nAnswer: 13980697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2 + -3 - 2171\/(-130) and -27\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80890387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22393275 take away 39807937?\nAnswer: -17414662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4, 4*v + 8 = 3*z + z. Let d(r) = 4*r**2 - 2*r + 1 + 4*r**3 + 3*r**3 - 4*r**3 - 4*r**3. Give d(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 863 a factor of 94497369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -480 by -80.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -22*b**2 - 2*b. Let t(h) = -33*h**2 - 3*h. Give 7*q(m) - 5*t(m).\nAnswer: 11*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 5. Let u be b + -2 - -2*2. Calculate the common denominator of 2 + -61*u\/(-20) and 73\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-13 - -13 - -2) - 22.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of h**5\/30 - h**4\/3 + 4*h**3\/3 - 8*h**2\/3 - h - 2. Let j(s) be the first derivative of q(s). Determine x, given that j(x) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -20*q + 48. Calculate s(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*q**3 - 112*q**3 + 84*q**3 - 17*q to k + a*q**2 + t*q**3 + h*q and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(1\/(-2)) + -3. Does 12 divide x + 1 + 19 + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0.5 (c) 356 (d) 0.3 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 9:23 AM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 303840905*h - 222022518?\nAnswer: 303840905","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13072, -51567, -115726, -205549, -321036, -462187?\nAnswer: -629002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 0*b**2 - 4\/21*b**7 + 0*b**5 + 0*b**3 + 2\/15*b**6 + 39 + 2*b - 2\/3*b**4. Find the third derivative of j(c) wrt c.\nAnswer: -480*c**2 + 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a milligram in nanograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 2:58 AM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-3))\/(6\/9). Suppose 0 = 5*k - k. Let l be k*4\/(-16) + 3. What is the second smallest value in c, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1055?\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 106*q - 1052 + 204 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13473.\nAnswer: 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g - 3 + 3 - 2*g + 4*g - 3*g + (g - 2*g + 2*g)*(-3 - 1 + 6) - 9294*g + 0 + 9357*g + 2.\nAnswer: 67*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 7:19 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 7*q - 9. Calculate o(-9).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 665897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000026815986 to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 8*u + u**2 - 3*u - 2 - 8*u. Is 13 a factor of j(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 3*v + 0*v - 2*k + 66 = 0, -555 = 5*v - 74*k + 1275 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, m: 1, l: 2, v: 1, s: 1, n: 1}. What is prob of sequence ln?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvs when three letters picked without replacement from vvsusvvssus.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -2*o - 69, 2*b - 83 = -6*o - 36 + 71 for b.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.8 - 158.8. Let f = 86 + u. Let x = 68.00000625 + f. Round x to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4 + sqrt(704)*1 + 1.\nAnswer: 2 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 15\/4 of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - k + 1. Let g(t) = t**3 - 3*t**2 + 1. Let o be (-1)\/(-3) + 8\/(-6). Let f(i) = o*g(i) + r(i). Find d, given that f(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3988569 to the nearest integer?\nAnswer: 1997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 677*n**2 - 1887*n**2 - 4013*n**2 + 512*n**2.\nAnswer: -4711*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -41863, -46620, -51367, -56098, -60807?\n\"Answer: w**3 - w**2 - 4761*w - 37102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7466776650 from -38.\nAnswer: 7466776612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 199*b - 595. Let x be h(3). Solve -x*s = -2*w + 8, 0 = -5*s - w - 10 - 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/4))**(-3\/19))**(-2\/7) assuming a is positive.\nAnswer: a**(-3\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 32 = -3*d, -2*j - 3*d + 1 = -j. Are -104\/9 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-15)*-21 + -2. Let t(y) = 2*y**2 + 2*y - 2. Let r be t(-2). Sort b, r, 3 in descending order.\nAnswer: b, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 7*x**2 + 2*x + 22. Let a be y(-7). Is 48 a factor of (2\/a)\/((-8)\/(-53952)*6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*v = -386, -5*r + v = -4*v - 2020. List the prime factors of r.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2 = -2*w. Let c be 5\/(w + (3 - 6)). Let x = 8 + c. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1296 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2386 - -5163. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*d + 38 = -125*d. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -8. Suppose 7 = 5*k - x, -h*x = -k + 2*k - 17. Suppose k*c - 5 = -15, -d + 8 = -c. Solve -8 = 4*w + 3*s - d, -w + 2*s = 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*p**3\/6 - 17524*p**2\/3 - 12211813*p\/6 + 8401553.\nAnswer: -(p + 703)**2*(25*p - 102)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -138*b**4 + 2*b + b**2 + 68*b**4 + 67*b**4 + 10*b**3 to j*b + l*b**2 + q + u*b**3 + f*b**4 and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - o - 24. Give z(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 238 + 289. Is 62 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 697085006.\nAnswer: 2, 29, 1601, 7507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (2223\/855)\/((4\/(-14))\/((-80)\/(-112)))\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {r: 14, x: 4}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 66.47 bigger than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680 is divided by 43.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/2109 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 0 + 61\/(-7).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 - 47. Suppose -d*g = 5 - 13. Suppose g*r - 112 = -2*y, 3*y + r + 137 = 5*y. Calculate the highest common divisor of 44 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 2. Let b = -473 - -482. Which is bigger: t or b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l**3 + 17*l**2 + 70*l. Determine p(-4).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -16 - -5) + -2 + 5 + -3 + -9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*c + 7*c + 15*c**5)*(-1 + 1 - 1 + (-3 + 3 + 1)*(-2 + 0 + 5)).\nAnswer: 30*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 219202, 218932, 218662, 218392, 218122?\n\"Answer: -270*t + 219472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 11*z**2\/2 - 6*z - 11. What is the tens digit of q(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2215780 by -1862.\nAnswer: 1190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 42*c**2 + 5*c - 5. What are the prime factors of u(2)?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-1*((-3465)\/15)\/(-21).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*r, 5*t + 4*r = 2*r + 3295. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11218394 a multiple of 3322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h. Let b(a) = -6661932*a**2 + 1. Calculate b(d(r)).\nAnswer: -26647728*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*l + 0*l = 22, 0 = -5*o - 2*l + 23. Solve 12*w - o*w - 21 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 i when four letters picked without replacement from {j: 9, u: 4, i: 1}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*3*((sqrt(68) - (sqrt(68) + sqrt(68)*-2)) + sqrt(68))**2.\nAnswer: -1836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five eighths of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 884 = 69*b + 1367 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 4:45 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -4*u**2 + 1768*u - 20640 = 0.\nAnswer: 12, 430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 2)*(-p + 0*p - 6*p)*(209 - 46 - 113)*(4*p - 3*p + 0*p) to the form t*p + s + q*p**2 and give q.\nAnswer: 700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -6*i - 1. Let q(c) = -21*c - 1. Let t(n) = q(n) - 3*x(n). Let r(y) be the third derivative of y**4\/4 - 2*y**3\/3 + 5*y**2. Determine 4*r(d) + 9*t(d).\nAnswer: -3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-128)\/288*513\/3.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 9*m + 35 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63 - 99. Let u = t + 31. What is the nearest to 0.1 in 3, -3\/7, u?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + (-51)\/(-15))*-10. Is -3 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - (-60)\/16) + 1\/4. Which is bigger: k or 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012038 rounded to six decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 10:08 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 2*y**2 - 4*y + 1. Suppose 21*g = 8*g - 52. Let c = g + 0. Calculate j(c).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - l - 1. Let v(r) = -20*r**2 - r. Determine -2*p(c) + 2*v(c).\nAnswer: -38*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-5) - 189720\/(-106950)?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 6. Let y be (-6)\/9*l*-2. Let f(g) = -6*g**2 - 127*g - 26. Let x be f(-21). Is x at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 7*z - 7 = -8*z, -3*s + z = 25. Let d(k) = -5*k**3 - 19*k**2 - 14*k - 11. Is d(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - 22*a + 23*a - 9, 4*a = -4*c - 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 4. Let z be 2 + r - (-52)\/(-20). Let f = -490 + 489.6. What is the second smallest value in -2, f, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q. Let f(h) = h + 2*h - 2*h. Let p(r) = -r + 2. Let j(g) = 5*g - 9. Let s(y) = 2*j(y) + 9*p(y). Let z(b) = 5*f(b) - 4*s(b). Calculate k(z(v)).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmmm when four letters picked without replacement from {m: 4, t: 16}?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 25*l + 145. Let a be x(-10). Let v be a\/(-2)*288\/120. Calculate the greatest common factor of v and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 722*a - 228*a + 363*a.\nAnswer: 857*a - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p - 51*p - 70*p - 20*p - 8*p as i*p + t and give i.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*w, -4*j + 0*j = 3*w - 11 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 7*s + 9. Let w be h(6). Suppose a + 232 = w*a. Suppose 0 = 6*o - 2*o - a. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.5 + 4.5. Let w = k + -6.57. Let a = 0.27 + w. What is the third biggest value in 12, -4, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 58*q - 401. Let j(w) = 11*w - 80. Give -2*d(v) + 11*j(v).\nAnswer: 5*v - 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - -16)\/(10\/(-6)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -6*z**2 - 4*z - 4. Let f be a(-5). Let u be (-283)\/(2\/(-1) - -1). Let s = u + f. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3 - 1 = 0. Let q(h) = -h**3 + 5*h**2 - 3*h + 5. Let l be q(5). Let b = l - -39\/4. What is the smallest value in b, u, -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a - 1. Suppose -2*p + 6 + 0 = 0. Suppose -2*n + 4*f - 12 = 0, 0 = n - f - 0*f + p. Let l(z) = z**3 - z - 1. Let j be l(n). Determine x(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and 799952.\nAnswer: 8799472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 125321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 11*t**2 - 13*t - 32. Is n(13) a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21386, 21377, 21362, 21341?\nAnswer: 21314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u. Suppose -4*m = -9*m - 10. Let f be (18\/27)\/(m\/(-18)). Let w(x) = -6*x + f*x + 6*x. Determine w(k(s)).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 3392?\nAnswer: 10176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (46\/23)\/(1 - (-5)\/(-6)). Solve 6*v = 3*v + x for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4687*x + 3651160. Give c(-779).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*m + 218*m - 116851 = 43529. Calculate the remainder when m is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 5*d + 6. Let n be w(-4). Let o(x) = -x**2 + 9*x + 9. Let s be o(9). Let b(i) = s*i + n*i + 0*i. Let j(r) = r**2. Determine j(b(c)).\nAnswer: 121*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -4 + 29. Let b(o) be the first derivative of o**4\/4 - 5*o**3\/3 - 3*o**2 + 7*o - 1983. Determine b(w).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 521185*d**2*n - 15*d**2 - 422*n + 4843 wrt d?\nAnswer: 1042370*d*n - 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -29*a**2 + 832*a - 139. What is y(28)?\nAnswer: 421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 287464 to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 6*f + 7. Let x be c(-5). Suppose -4*o - 71 = -5*w, o + 26 = x*w - 0*o. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 - 11021101111?\nAnswer: -11021101002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: Let w(p) = -4*p**3 - 4*p**2 + 41. Let b(r) = -r**4 + r**3 + r**2 + 1. Let d(a) = 4*b(a) + w(a). Find the first derivative of d(v) wrt v.\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120690 is divided by 935.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - y**2 - 2*y + 2. Let b be (3\/4)\/((-3)\/(-12)). Let d be q(b). Find the second derivative of -13*x + d*x + 2*x**3 - 4*x**3 wrt x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4050) + -1)*4 + (sqrt(4050) - (sqrt(4050)*-2 + 4)) + 1*(sqrt(4050)*-1 + sqrt(4050)) + -3 + 0 + sqrt(4050))**2.\nAnswer: -7920*sqrt(2) + 259321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/9 - 382*y**2\/9 - 5500*y\/3.\nAnswer: -2*y*(y + 66)*(y + 125)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1917 or 1414?\nAnswer: 1414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 1. Let i = -769\/3363 - -14\/57. Which is bigger: b or i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 + (-98)\/(1*-2) is divided by 10\/55 - 1\/11*-141?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**6\/720 - d**5\/20 - 5*d**4\/12 + d. Let f(t) be the third derivative of y(t). What is f(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 3:34 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57*q + 311 - 311)*(-2 + 3 + 3).\nAnswer: -228*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9806375 or 9806440?\nAnswer: 9806440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -468\/190309 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (4 - (1 + 14 - 11) - -3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/(-21)*(-654)\/(-4). Let c be ((-88)\/32 + (-1)\/2)*-16. Let l = a - c. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -62332 + 92424. Let b = -18192 + j. Round b to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(200)*1 + sqrt(200))*-3 + sqrt(200) - sqrt(200))\/((sqrt(40)*-2)\/sqrt(8) - sqrt(5)))\/((sqrt(56) - 2*sqrt(8064))\/(4*sqrt(28))).\nAnswer: -16*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19712 - -60232. Let u(h) = 19*h + y - 40520. Let w(p) = 3*p**2. What is u(w(g))?\nAnswer: 57*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 25.5. Let a = w + 9. What is the third smallest value in -2, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11899333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 10*i**2 - 6*i - 9. Let d = -14 + 23. Let b be p(d). Suppose 2*a = -4 + b. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 62 = 2*w, 7*y + 2*w - 242 = 3*y. Suppose -y*v - 10 = -61*v. Suppose -s + 25 = f + 2*s, -5*f - 3*s = -65. Is f > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 153361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 60*x = 61*x - 749, 0 = 4*a + x - 1503. Calculate the greatest common divisor of a and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(48) + 4 - (1 + (sqrt(3) - (-5 + sqrt(3) + 1))))*4.\nAnswer: -4 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8 + 39\/(-117)*-78*26. What is the highest common divisor of b and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47 - -34) + (25 - 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -4*p - 64, -104*r = -108*r + p + 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*t - 7, 4*u - 9 = 4*t + u. What is the tens digit of t + 0 + 2 + 57?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 670627 - 2559627. Round c to the nearest ten thousand.\nAnswer: -1890000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, e: 7, u: 3, y: 3, n: 1, x: 3}. What is prob of picking 1 j and 1 y?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2\/4 - 221*z\/4 + 129\/2.\nAnswer: (z - 43)*(5*z - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 275\/(-462) + (-1)\/(-6). Let g = 0.074 - 1.074. What is the closest to 0 in -31, o, g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -5. Solve 2*t + d = 3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/69)\/(5 - 403\/78).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25412 in 0.011, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*(-1 + 1 - 1). Let o be (-4)\/8*y*-2. Suppose -k - 4*h + 15 = 0, 0 = -2*k - 3*k - h + 18. Solve 3*d - 11 = o*x, 0 = -2*d + k*x + x + 6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*j - 1856 = 3089 for j.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 227261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*w + 121 - 121 + ((-5 + 5 + 1)*(-3*w - 3*w - w) + 3*w - 3*w - 3*w)*(-3 + 0 + 4).\nAnswer: -19*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) -0.4 (b) 0.3 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + ((-199794)\/6633 - (-24)\/198).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**5\/20 - 5*u**2 - 15*u. Let y(s) = -23*s**2 - 7*s. What is y(n(r))?\nAnswer: -207*r**4 - 21*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 13 + (-33 - -22).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 720 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 102595, 203358, 304119, 404878, 505635, 606390, 707143?\n\"Answer: -s**2 + 100766*s + 1830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + -2*(sqrt(112) - ((-1*sqrt(112) - sqrt(112)) + sqrt(112))))**2 - sqrt(112) - sqrt(112) - -1*sqrt(112)*3.\nAnswer: 4*sqrt(7) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.081, -8, -165.3 in decreasing order.\nAnswer: 0.081, -8, -165.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -148, -186, -184, -130, -12?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5184\/13 or -400?\nAnswer: -5184\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*w - 720 = -676 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/7)\/(u**1*u*u))**(-1\/15) assuming u is positive.\nAnswer: u**(23\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-12)*(-117)\/(-48)*-4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18c2 - -4c?\nAnswer: -1874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-45)\/108*1\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*i - 4 - 68. What is the remainder when 13 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -3 + 3*j**2 - 6*j**2 + 2*j**2. Let y(o) = 2*o. Give y(m(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1411, -1410, -1409?\n\"Answer: y - 1412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/18)\/b**(-13\/7)*(b*(b*b\/((b*b**(2\/73))\/b))\/b)\/(b**(-12)*b))**21 assuming b is positive.\nAnswer: b**(135893\/438)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1550203\/4*(-12)\/10. Let w = r + 463894. Let t = 1171 + w. Calculate the common denominator of t and -31\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4381451.\nAnswer: 863, 5077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*b*s**2 + 7787*b*s + 2*b + 512*s**2 + s wrt s?\nAnswer: 40*b + 1024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 7*i - 6*i**2 - i**3 + 0*i**2 - 4. Let r be w(-8). Solve -r*x = -d + 17, -x + 15 + 2 = 4*d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 814?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/95526 and 5\/95526?\nAnswer: 95526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*y + 6 = -83*y. Let w(i) = 225*i**2. Let l(h) = -74*h**2. Let s(z) = y*w(z) - 8*l(z). Let f(d) = 4*d**2. Give s(f(m)).\nAnswer: -1328*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10061, 10068, 10073, 10076, 10077?\n\"Answer: -o**2 + 10*o + 10052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2.11, 5, -4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1118 and 22763.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -3\/7, 12, 6\/11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000162065921 rounded to 7 decimal places?\nAnswer: 0.0001621","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1863*b + 2289*b + 160*b**3 - 357*b - 617*b.\nAnswer: 160*b**3 + 3178*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) 1 (c) -186 (d) -39\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69 + 69. Factor x**3 + 1\/2*x - 1\/4*x**4 - 5\/4*x**2 + y.\nAnswer: -x*(x - 2)*(x - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 105*o + 90. What is the smallest common multiple of i(1) and 143?\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jh when two letters picked without replacement from {h: 2, e: 1, m: 4, c: 3, j: 7}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3 + 3*g**3 - 5*g + 0*g**3 + 8 - 1 + 5*g**2. Let r be f(3). What is the highest common factor of 46 and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 4*t)*(0*t + 2*t - 3*t) - 24*t**2 + 16*t**2 - 20*t**2 in the form k*t**2 + d + l*t and give k.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 1 + 1 - 5*u - 2*u**2. Let s(m) = 5*m - 20. Let i be s(5). Let w(a) = -2*a**2 - 3*a + 1. Determine i*w(n) - 3*j(n).\nAnswer: -n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 5*f**5\/2 - f**4\/6 + f**2\/2 + 6*f + 1. What is the derivative of s(y) wrt y?\nAnswer: 150*y**2 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 9*g**2 - 12*g - 6. Suppose -k = 5*y + 10, 5*k - 5*y + 50 = -y. Let l be m(k). Is 2250\/l + 14\/49 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 4. Let c(b) be the second derivative of 1\/15*b**5 + 1\/90*b**6 + 1\/9*b**4 + 0*b**2 + 0 + 0*b**a + 2*b. Factor c(n).\nAnswer: n**2*(n + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -22365, -44723, -67081?\n\"Answer: -22358*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 5*j + 3. Let r be v(5). Suppose -17 = -5*l + r. Is (-20)\/((-16)\/l) + 696 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 2, 3, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -21*d**2 + 3*d + 2. Calculate b(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2291 is divided by 570.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (7 - (6 + 9)) - (9 - 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -145a745a3 + 0?\nAnswer: -145a745a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -15*z. Let v(g) be the first derivative of g**4\/6 - 46*g - 31. Let x(a) be the first derivative of v(a). What is x(l(h))?\nAnswer: 450*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -7*o - 3. Let x be ((-36)\/14 - (-15)\/(-35)) + 2. Let h be i(x). Suppose 3*d = -3*a - a + 34, -h*d = -5*a + 58. Solve q = -q - a for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13616, 27084, 40410, 53594, 66636?\nAnswer: 79536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1612390 and 3634.\nAnswer: 37084970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -12, -9, -4, -3, -12?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*b + 20 = 0, 2*c + 3*c - 25 = b. Suppose c = u + 1. List the prime factors of (u\/(-2))\/((-4)\/8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 321 (base 12) to base 11.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.807 - -3.407. Let s be (-6)\/4*2\/12. Put s, -2, k in descending order.\nAnswer: k, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 13*l**5\/30 + l**4\/12 + l**3\/3 - 32*l**2. What is the tens digit of z(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4793*w**2 + 5337*w - 9. Is p(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2154, 8563, 19026, 33357, 51370?\nAnswer: 72879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2358 - -2361. Let b = -2.92 + -0.08. Let q = b - -5. Sort q, -1, k in descending order.\nAnswer: k, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -46, 1, -2 in decreasing order.\nAnswer: 5, 1, -2, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 92*h**2 - 8*h + 678. What is l(92)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 372056 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2337*l**2 - 1464*l wrt l.\nAnswer: -4674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -20c2e8?\nAnswer: -20c2e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 33*s + 6. Let i(q) = -62*q - 14. Give -2*i(f) - 5*p(f).\nAnswer: -41*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9993318 is divided by 11743?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m**2 + 2*m**2 - m**2 + (m + m**2 - m)*(0 + 1 + 0))*(m**2 + 4 - 4) + m**3 - m**3 + 2*m**4 to f*m**4 + w*m + z*m**2 + k + v*m**3 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 98030077 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b*x**3 + 41274*b*x - 2*x**3 - 7896*x + 1 wrt b?\nAnswer: -2*x**3 + 41274*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 171 - 254. Let i = -3 - t. Let y = -33 + i. Calculate the common denominator of 19\/7 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 f when three letters picked without replacement from fmfx.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 - 30. Let p be (-2)\/11 + o\/22. Let a = -7801\/37 + 211. Which is greater: a or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, v: 2, d: 2, a: 1, s: 2}. Give prob of sequence vdds.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -8. Suppose -v*x - 2 = 2*u, 0 = -x - 0*u + 4*u + 4. Is 0 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 458386207 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 38092362 to the power of 1\/2, to the nearest integer?\nAnswer: 6172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rv when two letters picked without replacement from {v: 2, r: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.2 + -5.3. Sort 0.3, -1\/6, -6\/11, r.\nAnswer: -6\/11, -1\/6, r, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 r, and 2 o when four letters picked without replacement from {p: 1, o: 3, r: 5, z: 1, y: 10}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 1:35 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 5*v**2 - 7*v - 3. Let x be c(-6). Suppose -7 - x = -2*r. Suppose 4*q = -r*j + 41, 6*j = j + 4*q + 9. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooffzzoizojzhh. What is prob of picking 1 h, 1 o, and 1 z?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2323*j - 184*j + 2508*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*b = 317*b - 8524 - 1136 for b.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3)\/((-27)\/120) - (-4)\/6 is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of 0*y**4 + 0*y + 41\/60*y**5 + 0 + 1\/105*y**7 + 0*y**6 + 81*y**2 - 33\/2*y**3. Differentiate m(j) with respect to j.\nAnswer: 8*j**3 + 82*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130 divided by -5.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 18. Calculate the least common multiple of 22 and k.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g - g - 33*g**4 - 2*g**6 - 17*g**4 + 31*g**4 - 3*g**2 wrt g?\nAnswer: -240*g**3 - 456*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 242*k + 243*k - 734*k + 65 + 247*k. Let r(v) = -v. Calculate r(w(l)).\nAnswer: 2*l - 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 0 + 23\/6*l**3 + 0*l**2 + 0*l**6 + 0*l**5 - 5\/42*l**7 + 0*l**4 + 13*l. What is the second derivative of b(r) wrt r?\nAnswer: -100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -126 + 124. What is the common denominator of g\/(-12)*69*(-4)\/12 and 13\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i. Let z = 74 + -43. Let v(c) = z - 31 + 0*c - 6*c. What is r(v(f))?\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - v + 13, -5*r + 2*v - 27 = 3*v for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**5\/60 - i**4\/2 - 4*i**3\/3 + 2*i**2 - 494. Give v(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21022\/230 - 92) + 534\/15?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26616205 and 1925.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-36))\/((-18)\/54)*(-171)\/(-228).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 4*v - 21, -4*u + u + 3*v - 12 = 0. Let h(a) = -5*a**2 - 5. Let o(d) = d**2 - 18483 + 9278 + 9204. Determine u*h(g) + 4*o(g).\nAnswer: -g**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -417*c = -742*c + 416*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -g*i**4 - 24653*g*i**2 - 35431*g wrt i?\nAnswer: -4*g*i**3 - 49306*g*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 h when two letters picked without replacement from dlhvulvvodd.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*k, 8*v + 13*v - v - 15*v - 154*k + 303 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 - 163?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*n + n - 4*n + (-11*n + n + n)*(-5 - 10 + 4).\nAnswer: 101*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2309795, -2309596, -2309059, -2308016, -2306299, -2303740?\nAnswer: -2300171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 4. Let f be 3 + 5 + z + -1. Let o(k) = k + 5. Let n be o(-5). Solve -j - f*j = n for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 0.37 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 3. Suppose -5*m + o + 48 = 0, 3*o = -m + 28 - 12. Suppose -l - i = -17, q*i - m + 33 = l. List the prime factors of l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 10*w**7\/7 - 11*w**4\/12 - w**2 - 61*w - 1. Find the third derivative of j(a) wrt a.\nAnswer: 3600*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2526.\nAnswer: 2, 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 899865.4 millilitres in litres?\nAnswer: 899.8654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 2 + 3 = -3*r, 0 = 3*r - 4*c - 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 286908 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60437290 is divided by 2158474.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30\/6*6\/10. Suppose -197 = -3*l - 4*p, i*l - 3*p = 105 + 78. What is the remainder when l is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19156, -19158, -19152, -19132, -19092, -19026, -18928?\n\"Answer: m**3 - 2*m**2 - 3*m - 19152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -423 (base 11) to base 9.\nAnswer: -625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/13, 0.04, 0.2, -5, 5, -15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5376 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -681 - -23?\nAnswer: -659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t**2 - 2*t + 5. Let w be b(2). Let f(m) = 6*m + 3. Let j be f(w). Let p be -8 + (-927)\/j - (-2)\/7. Solve p = -a + 3*g, 2 + 6 = -3*a - 4*g for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 160 = 2*j. Let a(g) = -48*g - 1. Let l be a(-1). Suppose 21 = 4*b - l. What is the remainder when j is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4212) + (sqrt(4212) - sqrt(4212)*-1) - sqrt(4212) - (-1*sqrt(52) - sqrt(52))*-5)\/(2*sqrt(64)*-1).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + b - b)*(85 + b**3 - 56 + 3*b**3).\nAnswer: -8*b**5 - 58*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-822)\/10)\/((-2)\/20). Suppose 9*c = k + 186. What is the remainder when c is divided by 30?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6031 and 559625.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48398 is divided by 2687.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717333045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-12)*30\/1. Let d(p) = 4*p + 23. Let z be d(y). What is the greatest common divisor of z and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/45 + (-2854)\/(-30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 765 and 2339115?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-901)\/(-119) + (-6)\/(-14). Solve 0*c + p = 4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d = 16*d + 27*d. Solve -1\/7*y**5 + d - 1\/7*y**3 + 3\/7*y**4 + 2\/7*y - 3\/7*y**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 1. Suppose 0*r - b*r = -44. Suppose 4*v + 0*v = -2*k + 306, -3*k - 157 = -2*v. Calculate the greatest common factor of v and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -167.5 to the nearest integer.\nAnswer: -168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i = -4*a - 2436, 3*i - 680 = 3*a + 2*a. What is the greatest common divisor of 385 and i?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3178 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -0.086.\nAnswer: 0.0344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.6 - 5. Let y(o) = -o**3 + 7*o**2 + 6*o + 2. Let q be y(8). Let r be (q - -14)\/(1*3). Which is the nearest to m? (a) r (b) -0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 18*b**2 - 59*b + 12. What is w(12)?\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/5)\/3*0\/(-3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11139570 divided by -9?\nAnswer: 1237730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 44\/945?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/16 - (-4 - -10)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 35*d + 1. Let l be b(2). Let j = -23 + l. Let -j*n**2 - 60*n**2 - 2 - 28*n**4 + 52*n - 6 + 20*n**3 + 72*n**3 = 0. Calculate n.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(171)*2)\/(sqrt(9) + sqrt(27)\/sqrt(48)) - -3*(2*sqrt(95)*-6 + sqrt(95))\/(sqrt(20)\/sqrt(4)*2).\nAnswer: -69*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 23. What is the first derivative of -8*a**4 + z + 3*a**4 + 6*a**4 wrt a?\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/sqrt(768) - sqrt(45)*-4.\nAnswer: 97*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16036 is divided by 50?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 166221230911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 344\/120)*-3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-3 + 14\/4). What is the common denominator of (-311)\/(-36) - (-20)\/x and -83\/54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-3)*4\/8. Let y = a + 25. Is 24 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31224 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: What is 0.7282761 millennia in decades?\nAnswer: 72.82761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23237 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1573))*2 + -1.\nAnswer: 1 + 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -24, -25, -26, -27, -28?\n\"Answer: -b - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 767 = -12*z + 25*z. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -3\/919, 3\/7, 1\/55?\nAnswer: -3\/919","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4781.022 to the nearest ten.\nAnswer: -4780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1180 and 944.\nAnswer: 4720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 14, -16, -78, -184, -346?\nAnswer: -576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 882.5349l to millilitres.\nAnswer: 882534.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 9. Suppose 0 = f*s + 3*c - 6, -2*s + 3*c + 11 = -1. Solve -q + 0*q = s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48613.94m to nanometers.\nAnswer: 48613940000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -248*y**2 - 35*y + 86*y**2 - 175*y + 76*y**2 + 71*y**2 in the form v*y**2 + o*y + t and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - 9\/3 - (-33)\/(-3). Let u = -0.5 + -8.5. Let o = 13 + u. Which is the third smallest value? (a) o (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5035239848*l + 5035239848*l - 2*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 2367*f - 207694. Calculate k(-91).\nAnswer: -578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1425, -1367, -1299, -1221?\n\"Answer: 5*m**2 + 43*m - 1473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75431 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 150\/(-4)*(-32)\/80\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/6)\/((-3)\/44). Let d(c) = c**2 - 30*c + 47. Let o be d(k). What is the tens digit of (o\/12 + -3)\/((-2)\/8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280 = 3007*z - 2987*z for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.598 from 182.\nAnswer: 183.598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*g = -115, 5*t - g - 3*g - 183 = 0. Suppose 3*s + t = 4*s. Let o = 102 - s. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 15. Let m = w + 0. Let v = -3.039 + m. Round v to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 305962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25552617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 613685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 176*u + 303*u - 864 + 1216*u wrt u.\nAnswer: 1695","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**4 - r**2 + r**2 + (4 - r - 4)*(30*r**2 - 30*r**2 - 6*r**3) + 39*r**4 - 12*r**4 + 12*r**4.\nAnswer: 46*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -7 - (-460)\/70 - (-963)\/(-7). Let x = -131 - r. Solve 4*u + 3*f - 18 = -0*f, u + x = 5*f for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 5*p + 2. Let u be m(-5). Suppose 5*y - u*y = 0. Suppose 5*v = -5*g - 11 - 19, -4*g - 6 = -2*v. Sort y, 1, v in decreasing order.\nAnswer: 1, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 5*t - 89, 2*z - 7*z + 2*t = -161. Let o = z + -30. Solve -2*f - 25 = o*f, 4*a + 26 = -2*f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-300)\/(-50)*(-50)\/(-60).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 536, 557, 592, 641?\n\"Answer: 7*w**2 + 529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15902141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -111201010111 (base 3) in base 5?\nAnswer: -32113244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -35. Suppose 4*v - 16 = 32. Calculate the least common multiple of v and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 - -60. Let r(n) = -n**2 + 22*n - 46. Let p be r(a). Solve 13 = -p*v + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(66)\/sqrt(2))\/(-1*sqrt(1331)) - (1 + (sqrt(300) - -2*(sqrt(300)*-1)**2)).\nAnswer: -601 - 106*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-4 + 5)\/(1\/66*2) and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010111011 (base 2) to base 4.\nAnswer: 102323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22698 divided by -6.\nAnswer: 3783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -1. Let y(m) = 16*m - 9. Give -6*l(f) + y(f).\nAnswer: 16*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 5:34 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 14*n + 76. What is q(-7)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4 = -5*k + 30, -4*j = 2*k. Let f(x) = x - 2. Let b be f(6). Let h = b + j. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 8*m**2 + 11*m - 9. List the prime factors of q(7).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23 - (13 - -24)) + (-3 + 10 - -96)\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 14*h**2. Suppose -c - 5*c = -c. Let d(r) = r + c*r + r**2 - r. What is d(a(m))?\nAnswer: 196*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/4)\/(-3)*(-28)\/273\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39043, 39775, 40507, 41239, 41971?\nAnswer: 42703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*r - 3*w + 145, 3*r = -w + 91. Let b = r + -32. Let i = -55\/27 + 1613\/783. Is b <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 2:55 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of 0 + 0*c + 0*c**4 + 3*c**2 + 0*c**5 - 1\/2*c**3 + 1\/40*c**6. Find the first derivative of l(a) wrt a.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -209347, -209348, -209349, -209350?\nAnswer: -209351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6996 divided by 2?\nAnswer: -3498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*i + 4*i. Let s(j) = -j**2 + 6*j**i - 38 + j**3 + 37 + j. Calculate s(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**3 - 94*q**2 - 88*q - 244. What is p(48)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 + -0.9. Let j = 48 - 242\/5. What is the nearest to 0.1 in -2, y, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3023 divided by 11\nAnswer: -3023\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -91 divided by -7\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17505 or 17504?\nAnswer: 17504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 132620 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 523*f - 525*f + 4 = k, -3*k = 3*f - 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -9*h**2. Let n(a) = -45*a**2. Give n(y(s)).\nAnswer: -3645*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 10:03 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3 - 12*l - 21*l + l**2 + 39*l. Determine p(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -10\/15441?\nAnswer: -10\/15441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 20 = 0, 10*q = -2*h + 14*q - 22 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5515312?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 14*v - 32. Let z be o(18). Solve 3*w - 2*f - z = -7*f, -5*w = 5*f - 50 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m = w + 5 + 4 - 90, -2*m - 2*w = -22 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + 0 + 4 + -14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 95, 132, 173, 218, 267?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*x - 8*u + 3*u, -x + 2*u = 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 10:47 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -7*k + 16. Let q(v) = -v**3 + 6*v**2 - 5*v - 1. What are the prime factors of q(k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-18) - 33\/(-27). What is the least common multiple of (21\/(-12))\/(g\/(-4)) and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n*(n**(-5\/2)\/n)\/n*n))\/n**30 assuming n is positive.\nAnswer: n**(-55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*c = -84*c + 3026 for c.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*w + 19. Suppose 11 = -y - 4*q - q, 0 = -2*y - w*q - 4. Suppose 0 = -2*h + r + 9, y*h - 21 - 6 = 5*r. Does 2 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2 + 0 + n + 2. Let i(b) = 4*b**2. Determine i(s(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 58704983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 876383951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o + 1. Let d(k) = k**2 + 2*k + 6. Let t be (-3 + -7)\/((-6)\/(60\/25)). What is t*j(m) - d(m)?\nAnswer: -m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/1351964 and -51\/195679.\nAnswer: 14871604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.17582 and 2.28?\nAnswer: -7.2408696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/658 and -34\/329.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4206914 is divided by 672.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 43\/4 of a year?\nAnswer: 129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(4\/3))**(-27\/4))**(50\/3) assuming w is positive.\nAnswer: w**(-525\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28564117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 1:17 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 5106932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1900) + sqrt(1900)*-1 + 5) + (-5 + sqrt(1900) + 2*sqrt(1900))*-3 + 0)**2.\nAnswer: 1800*sqrt(19) + 154000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 2. Suppose -w*t = -f - 86, 2*f = -2*t - f + 48. Differentiate 2*d**4 + t*d - 18*d + 7 - 1 wrt d.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 - 1 - 1 - -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2277 and 87377.\nAnswer: 8650323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36428 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 6:08 PM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182946 is divided by 60977.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 268 = 2*w, -4*w = -5*p - 68 - 386. Let o = 36 - p. What is the greatest common factor of o and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 3*v - 41 = 0, -3*v + 50 + 90 = -68*d + 43 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -21. Suppose 7*g = -3*g - 30. What is the closest to -2 in f, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -165 + 169. Let y = -1 - 4. Put t, 0.5, y in decreasing order.\nAnswer: t, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -248 + 227. Let s be z*((-21)\/(-9) + -5). Calculate the highest common divisor of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -227 (b) 3\/5 (c) -0.2 (d) 597\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -29 + 31 + -3*1. What is the units digit of (-4746)\/(-48) + c\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2470 + -2466 + (17 - 1 - (1 - 0)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 371163 divided by 1.\nAnswer: 371163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 x when two letters picked without replacement from {x: 2, r: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 1:23 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 21748, 21731, 21704, 21667, 21620?\n\"Answer: -5*n**2 - 2*n + 21755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -3\/8, -2\/5, -37\/15?\nAnswer: -37\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - -0.1. Let k = -1.84 - -2.84. Let u = 2279\/9 + -253. Which is the closest to u? (a) 0.4 (b) r (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 1 (c) 5 (d) 23763 (e) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8904 - -25834. List the prime factors of l.\nAnswer: 2, 5, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 330 = 6*f. Solve -2*o - 5 = -m - 4*m, 5*m + 3*o = f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4d46 - -99?\nAnswer: -4c9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*((-1)\/(-2) - 16\/16). Let o = 3088\/11 - 281. Which is smaller: v or o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -608 divided by -1460.\nAnswer: 152\/365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 69586, 139222, 208864, 278518, 348190, 417886?\n\"Answer: a**3 - 3*a**2 + 69638*a - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -273271, 1, 2, 3 in ascending order.\nAnswer: -273271, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 590884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + 2 + -30 + 33.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9658?\nAnswer: 2, 11, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/12*(-82)\/(-12)*-3*2?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -289545949 * 0.4.\nAnswer: -115818379.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -q + 0*q**4 + 0*q**3 + 0*q**5 - 17\/30*q**6 + 3*q**2 + 0. Differentiate d(o) with respect to o.\nAnswer: -68*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**3\/6 - 7*f**2\/2 - 2*f. What is the units digit of q(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -4 - -1) + 4. List the prime factors of -2 + 0 + u - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - n - 3*n - 2 = 0, -262*n + 4 = 4*o - 258*n for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.042994 rounded to three dps?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/120*30\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2135 = -10*j + 17*j. Let s = 300 + j. Let x(z) = 2*z - z**3 + 4*z - 2 - 5*z**2 + 2*z**2. What is x(s)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1022322 - -2203?\nAnswer: -1020115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 12:38 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -84633093 divided by 9403677?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 347527698 to the nearest integer?\nAnswer: 18642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11625 - 11455. Calculate the greatest common factor of 70 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -453, -18\/19, -0.3, -2\/27, 1\/2, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2569\/48310 or -1?\nAnswer: 2569\/48310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 22 = 5*c - 23, -5*c = 5*u - 5. Let o(w) = -w**3 - 2*w**2 + 4*w - 4. Calculate the remainder when 33 is divided by o(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 39417825 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 88 = -6*x. Let d = 37 - x. Let g = 6 + 2. What is the remainder when d is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 22\/(-1)*(-18 - -15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119433, -238527, -356947, -474357, -590421?\nAnswer: -704803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*i*n*v - 2*i*n - 39*i*v + 8*i + 9*n wrt v.\nAnswer: 4*i*n - 39*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**4\/12 - l**3\/2 + l - 4. Let b(w) be the first derivative of u(w). Let f(p) = -p**3 + p**2 + p. What is -b(a) - 2*f(a)?\nAnswer: 2*a**3 - a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -8. Let i(b) = 3*b + 29. Let g(d) = d + 10. Let w(f) = m*i(f) - 17*g(f). What is the units digit of w(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20595 = -586*y - 35516 - 27857 for y.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 + 14*m - 14. Let s(r) = r - 1. Let j(x) = 2*x - 2. Let o(k) = -2*j(k) + 3*s(k). Calculate -d(p) - 12*o(p).\nAnswer: -2*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 24 (b) 523 (c) -4 (d) -5 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 148316713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.1479598 and -4.\nAnswer: -4.5918392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -z**4\/24 - 4*z**3 - 14*z**2 - 17. Let x(b) be the second derivative of m(b). What is the derivative of x(s) wrt s?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50968 - -50963. Let m = 0.02 + -1.02. What is the nearest to 1\/2 in v, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + 44.5. Let i = l + -17. Let c = -1.3 - i. Round c to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 372193, 372206, 372233, 372280, 372353, 372458?\nAnswer: 372601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 6:13 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2081 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*(v\/v**0*v)\/v*v*v))\/v)**(-14)*(v*v**(-4))\/((v\/(v*v\/v**(-2\/19)))\/v)*((v**(-2\/3))**(-48\/11))**(-29) assuming v is positive.\nAnswer: v**(-6115\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*x - 1823, 5*l - 3055 = 24*x - 19*x. What is the highest common factor of l and 348?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*c + 59*c = -56 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 80 + 1.7. Let g = i - 83. Which is the third biggest value? (a) g (b) -0.4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 247 + -55. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3630) + -2*sqrt(3630))\/(-6*(sqrt(6)*2 + sqrt(6))).\nAnswer: 11*sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 4*h - 4*h)*((0*h + 0*h + h)*(2 - 2 - 3) - h - h - 2*h + (0 + 0 - 3)*(7*h - 2*h - 3*h) + 2*h - 2 + 2).\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*c = -11, c - 5*c = v - 16. Suppose 0 = -4*r - 4*m + 12, v*r - 35*m + 33*m - 18 = 0. Calculate the greatest common divisor of 164 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41.17 + 0.13. Let b = 20 + -61. Let a = b + n. Sort a, 0.5, 4 in descending order.\nAnswer: 4, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -169200 and -12722.\nAnswer: -181922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x - 4*x + 2*x**2. Let d(k) = -k**2. Give -5*d(i) - 3*p(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13127.\nAnswer: 13127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32200566257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 2)*(-2*a - 82*a + 13*a)*(-43*a + 213*a - 102*a) to the form r + j*a + f*a**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -11) + (-18 - -9)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27749*f**4 - f**3 + 89*f**2 - 12991933?\nAnswer: -110996*f**3 - 3*f**2 + 178*f","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4352 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.4 + -0.4. Let f = -17 - -16.93. Let d = -3.07 - f. What is the third smallest value in -0.4, d, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5441 divided by 4\nAnswer: -5441\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 83*u**2 - 1 - 73*u**2 - 2 - 136*u**2 in the form l*u**2 + f*u + w and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-15))\/(1\/3)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 43, -2 in increasing order.\nAnswer: -2, 4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 21*q + 18. Let p be v(-22). Let h be (1 - (p - -4)) + 3. Let m be (-4)\/(-8)*96\/h. Solve -5 = -4*i - x + 2, m = -i - 3*x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/8*6\/30*65\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26 - 46621000?\nAnswer: -46621026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s - 7. Let a be (-16)\/2*1 + -3. What are the prime factors of o(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3325385, -6650763, -9976141, -13301519, -16626897?\n\"Answer: -3325378*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 3*s - 9, 8 = 3*s - 1. Suppose 2*u - u = b. Suppose u = -4*w + 19 + 25. Calculate the greatest common divisor of w and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 1\/12*g**4 - 13*g**2 + 0*g + 0 + 0*g**3 + 0*g**5 - 1\/60*g**6. Find the second derivative of k(v) wrt v.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 11*p - 148. Let x be c(-19). Let l(w) = -w**3 - w**2 + 7*w - 6. Give l(x).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -124.9 - -125. Let l = 0 + 2. Let g = 2\/9 + 1\/9. What is the nearest to 1 in g, l, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -40, -60, -80, -100?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**3 - 32*k**2 - 159*k + 2. Calculate g(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/2)\/(-9)*-22. Let j be (-1)\/(-2)*(5 + m) + -1. Sort 6, j, -2 in descending order.\nAnswer: 6, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 30. Let q = 10 - o. Find d such that 6*d**5 + 7\/2*d - 17\/2*d**3 + q*d**2 + 2*d**4 - 1 = 0.\nAnswer: -1, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -635724 divided by 158931.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20\/(-4) - 695)*1. Let m be (6\/(-10) + 1)\/(35\/g). Does -13 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27443.2 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 34.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -290 - -481. Calculate the remainder when c is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-77)\/(-21) - (-1)\/3. Let h be -5*y\/20*-3. Find the second derivative of -17 - 3*f + h*f**4 + 17 - f**4 wrt f.\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*g**2 + 2*g**2 + 0*g**2)*(-9*g**2 + g**2 + 1 + 0*g**2) to o + f*g**4 + z*g**2 + y*g + v*g**3 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**3\/3 - 1240*s**2\/3 - 385637*s\/3 - 766322\/3 = 0.\nAnswer: -619, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - q - 2*q = 3, 3*q + 21 = 2*v. Is v\/(-9)*6 + 189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*q + 83*q = 275 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44 - -10. Suppose -7*v - 4*t - 87 = -2*v, -4*v + 2*t - p = 0. Let r be 6\/v + 19\/10. Is r greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmr when three letters picked without replacement from {y: 1, m: 4, b: 1, r: 4, f: 1, c: 4}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260755 - 1059110 = -17544*d + 276639 for d.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(0*p + 0*p - 2*p)*(p**4 + 7*p**4 + 2*p**4).\nAnswer: 40*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 87*w**3 - 5*w + 797?\nAnswer: 261*w**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 55, 2\/11, -45\/2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -55. Suppose -12 = 2*b + z. List the prime factors of (0 + 6)*b\/(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17519158 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) 53 (c) 1 (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*72\/(-27)*-9. What is the hundreds digit of h\/64 - (-2157)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a + 4. Let r be w(2). Solve -4*n - 15 = -2*j + j, 3*n + r*j = -14 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 19*k + 64. Is q(17) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73164086.\nAnswer: 2, 36582043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6416 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/23)*w)\/(w\/((w*w*w**20)\/w*w)) assuming w is positive.\nAnswer: w**(507\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g = -g + 117. Suppose -g*h = -3*h - 24. What is the third derivative of k**5 - h*k**2 + 3*k**5 + 3*k**5 wrt k?\nAnswer: 420*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n**(-1\/4)*n)\/n))**(-1\/10)*n**(2\/17)*(n**4\/n)\/n assuming n is positive.\nAnswer: n**(1423\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, 9414, 34, -1 in ascending order.\nAnswer: -1, 34, 65, 9414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 815 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: Two letters picked without replacement from {h: 11, o: 2}. What is prob of picking 1 h and 1 o?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -182995791 greater than or equal to -182995790?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 2090 - 822 = 0. What is the highest common factor of 52 and d?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6791, 13580, 20369, 27158?\nAnswer: 33947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/23)*l**(-2\/7)\/l assuming l is positive.\nAnswer: l**(-214\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -432*h**5 + 527*h**3 - 3582213*h**2 wrt h.\nAnswer: -25920*h**2 + 3162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = -9*t - 3024. Let d = t - -703. List the prime factors of d.\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -5 + 2 + 25 + -25.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - 1\/((-3)\/12). Solve -3*b + 2*h = j - 25, -3*h + 1 = 2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j + 2*j + 5*j**3 + 4*j.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.1 times 1?\nAnswer: -27.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1789\/8 + 224. Let q = 0.02 - -1.98. Let t be (1 - (-5)\/(-6)) + 48\/(-192). What is the closest to t in q, k, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6155265, -12310651, -18466037, -24621423, -30776809?\nAnswer: -36932195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1620110 and 88?\nAnswer: 71284840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.97 + 0.03. Let v = 1601 + -1603. What is the third biggest value in 4, v, 1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -44, -47, -24, 37, 148, 321?\n\"Answer: 2*f**3 + f**2 - 20*f - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 36 = 2*p. Which is the nearest to -0.1? (a) -1 (b) 1\/2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3 or -49\/15217?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37646442?\nAnswer: 2, 3, 1231, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -3*t**4\/2 - 165*t**3 - 7743*t**2\/2 + 13140*t = 0.\nAnswer: -73, -40, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.39884ng to grams.\nAnswer: 0.00000003939884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/1)\/(-8) - 21\/(-180). Let j be (-1 - -3) + (0 - 2). Which is smaller: l or j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -469352 divided by 1.\nAnswer: -469352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 14*p**3 + 3016*p**2 + 7245*p + 630. Give f(-213).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 236 and 295.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7246506*v**3 + 13610101*v**2 wrt v?\nAnswer: 43479036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-99)\/15 - (6 + (6 - 18))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x - 3*x + 11 - x. Let d be a(8). Let i(z) = -1 + d*z**2 - 1 + 2*z + 0*z. Determine i(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2381.685 months to centuries.\nAnswer: 1.9847375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 6*y**3)*(-94*y + 165*y - 72*y + 576).\nAnswer: -6*y**4 + 3456*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-2\/3)*l*l\/(l\/(l**(1\/4)*l))*l*l\/(l*l\/(l**(1\/2)*l))*l*l*l*l*l**(-4\/3))\/(((l*((l\/l**(-3\/5))\/l)\/l)\/l)\/(l\/l**(-2)))**49 assuming l is positive.\nAnswer: l**(3467\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 4*h - 10, 4*s + h + 35 = -0*s for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j**2 - 17*j + 97. What are the prime factors of i(-27)?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.9 + 13. Let y be ((-1)\/4)\/(1\/6). Which is the nearest to x? (a) 1\/3 (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/29361 and 67\/33.\nAnswer: 322971","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90783924 divided by 393004.\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 307 = -2*y, -5*n - 3*y + 507 = -4*y. Suppose 2*c = -2*m - 2*m + 118, -3*m + c = -n. Calculate the greatest common factor of 48 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 16 (b) -0.5 (c) 18 (d) -5499\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-17)\/(-50) + 2\/4 and (2443\/(-78) - -19) + (-4)\/(-26).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 388 = -242. Suppose -6*h = -13*h + x. Let b = 100 - 40. Calculate the highest common divisor of b and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 62469?\nAnswer: -6246a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/2 - 2) + 5. Suppose -38*k + 690 = 45*k + 32*k. Solve 11*f = k*f + r for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - y - 1. Let p = 4 - 2. Let w(r) = 0*r - r - r**3 + 2*r**2 - r + p. Let j be w(2). What is d(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.96 in 2\/5, -136, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 + 43*v - 164. Let p be n(5). Solve 2*m - 3 + p = -h, -3*m - 5*h + 10 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -7*c**2 - 2*c + 2. Let l(a) be the third derivative of -5*a**5\/6 - 5*a**4\/8 + 5*a**3\/2 - 4*a**2. Determine 2*l(u) - 15*z(u).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 7*x**2 - 6*x + 3. Let q be c(-6). Suppose q = -2*s + 11. Suppose r = 3*r. Solve 4*o + s = -r*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 897 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14058 by 14.\nAnswer: -7029\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 1 = -s, 0 = -4*p - 4*s - 12 + 32 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 9. Let o = 20 + -20. What is d(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 616 + -1191\/2. Suppose -4*y + 13 = r, 4*y - 3*r = -2 - 5. Find the common denominator of 2185\/(-304) + ((-20)\/(-2))\/y and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 427 divided by -527.\nAnswer: -427\/527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 638 and 142758.\nAnswer: 4139982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert ba (base 12) to base 5.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60121717.\nAnswer: 60121717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1\/50, 4 in decreasing order.\nAnswer: 4, -1\/50, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -9*n - 160 + 160. Let u(d) = -8*d. Determine u(r(b)).\nAnswer: 72*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/5*w + 0 + 2\/5*w**4 - 2\/5*w**3 - 2\/5*w**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 divided by -14.\nAnswer: 57\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/327 and -11\/9?\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/(-13)*2\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + 3*b, -5*b - 26 = -6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 15, r: 5}. Give prob of sequence ss.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 4*u**4 - 200*u**3 - 1772*u**2 + 10032*u = 0.\nAnswer: -11, 0, 4, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 w when four letters picked without replacement from {z: 7, w: 9, n: 2}?\nAnswer: 49\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -186515, -186493, -186471, -186449, -186427, -186405?\nAnswer: -186383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 - -90. Suppose 0*k + k = n. Suppose b = -b + k. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004995102 rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 + -35. Which is bigger: c or -18?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**2 + 0*c**4 - 5 - 3 - 71*c**3 + 70*c**3 - 2*c**4 to l*c**4 + p*c**2 + u + o*c + g*c**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6*j = -3*j, -5*g = 2*j. Suppose -3*q = -6*q. Suppose -3*s + 6 = 0, -z = -5*s - q*s + 10. Which is the closest to z? (a) -1\/5 (b) g (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 547, 1535, 3183, 5491, 8459?\n\"Answer: 330*j**2 - 2*j + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 37660332*w**2 + 53559946 wrt w.\nAnswer: 75320664*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1284 divided by 214.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/15)\/(y\/y**(-5)) assuming y is positive.\nAnswer: y**(-89\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3995 and 171938?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is -21 + (-88 - (2 - (14 + 32)))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 0 (c) 69.74 (d) 3 (e) 5 (f) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/3))**(-2\/37)*(v\/(v\/(v\/v**(-1))))\/v**(-7) assuming v is positive.\nAnswer: v**(997\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 214383 + -126576. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8827*u - 387 = 8870*u for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -8*u + 11*u - 28, -2*b - 74 - 48 = -21*u for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7318 (base 14) to base 4\nAnswer: 10311222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 368\/(-6)*(2 - (-2 + 7)). Let n = m + 267. Let o = 754 - n. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -3*p**5\/20 + p**4\/12 + p**3\/6 + 15*p**2. Calculate a(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 1, -15, 7, -1, -2 in descending order.\nAnswer: 22, 7, 1, -1, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -5 - 0) + 0. Suppose 3*o + 18 = t, i*o = -10 - 0. Suppose 2*f = 2, s + t*f - 9 = -f. Solve 2*h = -1 - s for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 24 = 4*y, -51*y + 48*y = -5*k + 52 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51341895 and 3498.\nAnswer: 1749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1)**(-27)\/(l**5)**(-16\/7))**(-8\/9) assuming l is positive.\nAnswer: l**(872\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eguggueggzggggguueg. Give prob of sequence zue.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 36\/11, -3\/4, 12?\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -cb (base 16) to base 11\nAnswer: -175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 271*t**2 - 29*t - 30. Is 54 a factor of y(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -50.8 from 0.1.\nAnswer: 50.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42053*w + 84458*w = 42068*w - 16513 for w.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**2 - 3*t - 3. Let k(b) = -9*b**2 - 13*b - 13. Let g(l) = -6*k(l) + 26*v(l). Let z(w) = -6*w**2. Calculate z(g(a)).\nAnswer: -24*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 413*f + 3433. What is n(-10)?\nAnswer: -697","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pzbb when four letters picked without replacement from zzzzzbzbpbb.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13 + 1a16?\nAnswer: 1a29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -14\/5, 0.2, 2, -0.1, 1 in ascending order.\nAnswer: -10, -14\/5, -0.1, 0.2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 5, f: 2, p: 4, e: 2, w: 2, s: 4}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**3 + 0*c**3 - c**3 + (-2*c - 2*c + 5*c)*(3 - 3 + 2*c**2) + 2*c**2 + 6*c - 3*c**3 - 6*c - c**3 - 7*c**3 - 6*c**3.\nAnswer: -16*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -2.5. Let v = 70.2 - 70. Let u = v - -0.6. Which is the third smallest value? (a) r (b) u (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*z - 12 = -70*z + 2*m, -3*m = z + 17 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15828571?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121566, 121549, 121532?\nAnswer: 121515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 368948 not equal to 368948?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -608545427626 + 608543774343.400011. Let m = -1653281 - x. Let k = 1.6 - m. What is k rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - 6*p + 4*p, -3*n - 2*p = 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 12 = 3*n. Suppose 3*j = 2*g + n, 4*j - 26 = -5*g - 0*j. Solve -5 = -g*v - 3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 1\/8 (b) -2\/9 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/(f*f**(-5))))\/(f\/(f*f**(-1)\/f*f)*f)*f**6*f**3 assuming f is positive.\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20313*x + 20317*x - 164 = 4*w, -3*w = 40*x - 1812 for x.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30148.\nAnswer: 2, 7537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o\/o**(-2)*o)\/o)**(-2\/17) assuming o is positive.\nAnswer: o**(-10\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + 3\/(-12) + 35\/(-4). Let c be (27\/12)\/(9\/w)*-2. Solve 5*s = c*b + 25, b - 5*b - 2*s = 16 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*z = 266, -2*h - z + 68 = -55. What is the greatest common factor of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24120727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-10))\/(4\/(-5)). Let w = -1 - -3. Let t be w\/28 - 8\/14. Which is the third smallest value? (a) t (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 5*i + 2. Let p be j(6). Let l(z) = 11*z**2 - 10*z**2 + 5*z + 6*z**2 + 5. Is l(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/4)\/(9\/(-126)). Suppose 19 + h = 2*q. Suppose -16*x = -q*x - 6. Put -2, 0, x, 5 in decreasing order.\nAnswer: 5, x, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 53*x. Let f(b) = -b**2 + 8077 - 4005 - 4072. Give f(o(k)).\nAnswer: -k**4 + 106*k**3 - 2809*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 5. Suppose r = -5*h + h + 64. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1338 and 61523247.\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 14076899?\nAnswer: 140768a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2409.2883 + 2409. Let v = m + -0.1117. Let l be (-64)\/(-210) + 2\/(-5). Which is the third biggest value? (a) -16 (b) l (c) 1\/11 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 4*d - 4, q - 5*d - 23 = 3. Let t = -7370 - -36851\/5. What is the closest to -2 in q, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55246824 divided by 4.\nAnswer: 13811706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, i: 12}. Give prob of picking 2 t and 1 i.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n = 2666 + 5671. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6*h. Suppose 3*r + 1 = -2*a, 3*r + 5*a = -15 - 1. Suppose 0*i - 27 = -r*i. Is 18 a factor of m(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y - 2. Let w(x) = x**3 - 41*x**2 - 1. Suppose 47*s - 55*s + 328 = 0. Let r be w(s). Let b(v) = -v - 1. Give r*o(a) + 4*b(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 3:52 PM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -576*t + 677*t - 1818 = 0 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 605977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 223 = 4*z - h, -4*h + 305 = 5*z. Let c(a) = -4*a - 54. Let s be c(-23). Suppose s = 5*j - 5*u - z, -j = -4*u - 10. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -8a186?\nAnswer: -8a18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2226*p + 11066 = -205*p + 63612 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 13 + (38 - 41)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**3 - 2*r**4 - r**3 + (-22*r**2 - 16*r**3 + 22*r**2)*(3*r + 55 - 55) - 2*r**4 - 2*r**4 + 2*r**4 to c*r**3 + o*r**4 + y*r + q + f*r**2 and give o.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 106 - (-41 - (-34 - (8 + 9)))\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrrv when four letters picked without replacement from {v: 2, r: 13, d: 5}?\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/4 and ((-516)\/18)\/((-16)\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**8\/336 + t**5\/20 + 3*t**2 - 6*t. Let j(g) be the first derivative of h(g). Find the third derivative of j(m) wrt m.\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 (base 6) in base 7?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32001802 is divided by 172?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*i = 577*i + 21728 for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/23, 1, -0.1, 7\/6, 4, -2 in descending order.\nAnswer: 4, 7\/6, 1, 1\/23, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7461*p**3 - 3555*p**3 - 3271*p**3.\nAnswer: 635*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23.1 + 13. Let s = 4.4 + 5.6. Let b = s + h. Are b and -2\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**2 - g**4 + 44*g - 1039*g**3 + 1026*g**3 - 48*g to h + z*g + s*g**3 + j*g**2 + m*g**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 358.4 - 383. Let j = u + 20.6. Let p be 24\/14 - 2\/(-7). Which is the third smallest value? (a) 1 (b) j (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -321449067?\nAnswer: -321449070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/11)\/t**(-8\/7))\/(t**(1\/4))**(-16) assuming t is positive.\nAnswer: t**(389\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.925 - -0.075. What is the nearest to k in 0.05, 1, -7, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(y**4 + 7*y**4 - 2*y**4).\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14564\/33999 - -1\/4857. What is the nearest to 2.8 in t, -28\/3, 0.5, -5\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**3\/17 + 3257700*c**2\/17 + 6515394*c\/17 + 3257696\/17 = 0?\nAnswer: -1628848, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 1.465\nAnswer: -0.293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2090549?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(133) + (sqrt(133)*2 - sqrt(133) - sqrt(133))) + sqrt(133))\/(sqrt(7)*2*4) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 2.486.\nAnswer: 2.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1)**(3\/50)\/(h**(-1\/3))**(-1\/6))\/((h**(2\/7))**(24\/7))**(16\/3) assuming h is positive.\nAnswer: h**(-57551\/11025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 9 - 7 = 0. Suppose -i + s + 7 = 0. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((1 + -3)\/(-46)). Suppose -2*l = 10, 4*l = -2*r + l + s. Solve r = -5*y + 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78 - 9. What is the first derivative of 26 - 4*d - r - 28*d**2 + 4*d wrt d?\nAnswer: -56*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 596421, 596419, 596417, 596415, 596413, 596411?\n\"Answer: -2*s + 596423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 11*o - 21. Let y be s(13). Let j = y + 237\/5. Sort -0.5, 0.3, j.\nAnswer: -0.5, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.016, 11, 0.07304?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -36*n - 104. Let m be p(-4). Solve -20 = -5*g, -g = 44*b - m*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4557*o**2 + 3*o**3 + 4555*o**2 + 3*o**3 - 3*o - o**3 as a*o + h*o**2 + i*o**3 + f and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)\/sqrt(8))**2*5 - (-1 + sqrt(65)\/sqrt(5)))*-5.\nAnswer: -330 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 779 + 862*c - c**3 - 7*c**3 + 9*c**3 + c**3 - 4*c**3 wrt c.\nAnswer: -6*c**2 + 862","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2715\/2 - -9)*2.\nAnswer: 3, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 2*z**2 + 2*z + 2. Let i be p(7). Suppose -2*f = i - 40. Solve -g = -f*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1733, -5949, -12661, -21869, -33573, -47773, -64469?\nAnswer: -83661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2) - (-316)\/(-237).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2965 - -2970. Solve -m + 26 = -h + 27, c*m - 4*h = -8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 8*z**4 + 3*z - z - z**3 + 0*z**3 + 0*z as c + o*z**4 + x*z**3 + m*z**2 + b*z and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-26)\/(-2))\/((-1)\/(-1))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccl when three letters picked without replacement from lcclcclclccll?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1081992*h*m**2 - 2*h*m + 36*h - 7*m - 671 wrt m.\nAnswer: 2163984*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 + 3*f**3 + f**4 + (f**4 - f**4 + 2*f**4)*(-1 + 1 - 1))*((11 - 2 + 1)*(-2*f + 3*f + 4*f) - f + 3*f - 4*f).\nAnswer: -48*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12301, 98534, 332631, 788524, 1540145, 2661426, 4226299?\nAnswer: 6308696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, 1, -3, -10, -1195 in increasing order.\nAnswer: -1195, -10, -3, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, m: 6}. What is prob of sequence mq?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 577 = 189*x + 29 - 19 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g\/((g\/(g\/(g\/(g\/g**(-4))))*g)\/g*g))\/g*(g**(2\/5)*g)\/g)\/(g**2*g\/g**(-3\/5))*(g*g\/g**0*g*g**(1\/3))**(-22) assuming g is positive.\nAnswer: g**(-1088\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4 - -15) + -9 - -1) + -14.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -163.83 - -178.83. Is j less than or equal to 1\/1522?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -114*g**2 + 38*g**2 + 49*g**2 - 12 as k*g + t + x*g**2 and give x.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 28*q + 55 = 0, 5*c - 2*q - 271 + 404 = 0 for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538465?\nAnswer: 5, 107693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**5 - 28*h**4 + 24*h**3 = 0. Calculate h.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 36*q - 264, -3*q + 91 - 22 = 15*n - 19*n for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/24)\/((a*a*a**13)\/a) assuming a is positive.\nAnswer: a**(-337\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -333970, -1335911, -3005812, -5343673, -8349494, -12023275, -16365016?\n\"Answer: -333980*o**2 - o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 6*l**2 - 7*l + 12. Calculate the smallest common multiple of c(5) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 108742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.29 + -17.71. Let t = v - -18.084. Round t to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 120.50688496 - -15.49307644. Let p = -136 + l. What is p rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a7 (base 16) to base 10\nAnswer: -167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**3\/6 + b**2\/2 - 5*b. Let f(g) = 10. Let n(l) = f(l) - 6*i(l). Find the first derivative of n(r) wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 7 + (-4 - 8) - (-25 + -6 + 11)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2. Let u(a) = a + 6. Let l(i) = -3*s(i) + u(i). Let d(x) = 207*x. What is l(d(v))?\nAnswer: 207*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*r - 921 = 13199 for r.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + l + 4*l + 239, -3*l = -q - 64. Let f = q + 61. Solve -25 = -f*z - 5*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -50 + -151?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b**3 - 3*b**3 - 2*b**3)*(-2754 + 2754 + 1471*b).\nAnswer: 1471*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j = -15*j + 224. Let t(a) = 76*a + 32. Let w(c) = 7*c + 3. Calculate j*w(v) + 3*t(v).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 + b + 3*b**2 + 5929 - 5905 - 2*b**3 to f*b + i*b**2 + u*b**3 + z and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21.068 * -0.2.\nAnswer: -4.2136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -3*r - 135657, 24*v + 5*r + 90462 = 26*v. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-32)\/(-112) - (-52)\/14. Let o(i) = i**2 - 1. Let m(p) = -p**3 + 10*p**2 + 3*p - 9. Let v(b) = m(b) - 6*o(b). Give v(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/255 and -113\/3465?\nAnswer: 58905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 7*g - 94. Let t be s(14). Let x(w) = -22*w + 90. Let c be x(t). Solve -21 = -5*r - c*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-36) + (-714)\/459. What is the smallest value in 0, m, -0.19, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 6:10 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**3 - 2*v**2 + 3*v + 4. Suppose f = 4*p + 14, 0 = -5*p + f + f - 19. Is i(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 47590.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 5*y**2 - 8555*y + 169100 = 0.\nAnswer: 20, 1691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*k = -102*k + 52. Let q = 15 - k. Suppose -3*w = -w + q*w. Is 3\/22 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**2 + 21*g - 11. Let u be x(6). Let m(a) = 4*a + 9. Let b(j) = -j. Let c(l) = 5*b(l) + m(l). What is c(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 464870 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**44*t)\/((t\/(t\/(t**(-27)\/t)))\/t))\/(((t\/(t\/(t*t**(28\/5))))\/t)\/t**(-13)) assuming t is positive.\nAnswer: t**(-158\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*z**2 + 38*z**2 - 30*z**2.\nAnswer: 96*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t - 5. Let j be z(7). What is the nearest to -1 in j, 0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004309 rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*t**4 - 2*t**2 - 7*t**4 - 19 + 36 - 19 - 2*t + 0*t**2 as n*t**3 + g*t + p + h*t**4 + j*t**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**3 + 26*h**2 - 5*h + 9. Let v be q(-13). Let j = v - 70. Solve -16 = j*f - 2*f - 2*b, -3*b + 4 = 2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216637 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -8 - (-1 + -10) - -108. Let v = g + -780\/7. Sort 2\/3, -0.1, v, 0.2 in ascending order.\nAnswer: v, -0.1, 0.2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -221689, -221816, -222027, -222322?\n\"Answer: -42*h**2 - h - 221646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 28*z - 18. Calculate u(28).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7646684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 426 + -390. Calculate the remainder when 249 is divided by f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4300643 - 2?\nAnswer: -4300645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, i: 10, w: 2}. Give prob of sequence aii.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*y - 3*y - 72 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4 = 6*z. Suppose 63 = z*b - 145. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42090184?\nAnswer: 2, 23, 228751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/3 - 83896*v**2\/3 + 1760137972*v\/3 - 7036525456.\nAnswer: (v - 41942)**2*(v - 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -6*i + a + 7, 3*i + 5*a - 14 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*r + 114*r = 5*d + 61, 4*r - 4*d - 212 = 0. Which is smaller: r or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/85 and 40*8\/40 - 331\/40.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 4\/5, 2, -68\/9?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86823219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1963*f**3 + 6746*f - 6746*f.\nAnswer: 1963*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.44076 nanograms in micrograms?\nAnswer: 0.03144076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 11*w**2 + 12*w - 12. What is s(11)?\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 6*v**2 - 2*v + 1. What is a(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 18*l - 112. Let a be p(8). What is the greatest common divisor of a and 736?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -k**2 - 6*k + 3. Let i be w(-3). Solve i = 6*r - 4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 6*a + 2. Let k be z(6). Suppose -k*n = s, n + s = -0*s. Suppose m + 6 = -2*y, -m = y + 3 - n. Solve m*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.063, -3, 4\/9, 2\/11, 0.185, -3\/4, 3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6713696*t**3 + t**2 + 12*t + 46919 wrt t?\nAnswer: -40282176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/474 and -61\/474.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.974 - -0.026. Let d = 1256 - 1252. What is the fourth biggest value in 0.5, -3\/4, f, d?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 69\/50 + -47\/25. What is the closest to -2 in 2, -3\/2, -2\/17, a?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 4*z**2 - 2*z**2)*(-z**2 + 2*z**2 + 0*z**2) + 1264*z**4 - 7120 + 7120 + 14*z**3 - 4*z**4 - 14*z**3.\nAnswer: 1261*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 10*d + 8 + 36 + 11 + 74. Calculate the smallest common multiple of 15 and o(-9).\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2053 - -10268\/5. What is the closest to z in 2, -3, -19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 232120000 + 0?\nAnswer: 232120000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 16 - 272 = 0. Let t be 120*(-4)\/(c\/12). Calculate the greatest common factor of 36 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r**2 - 52*r - 53. Let x(m) = 3*m**2 - 36*m - 33. Give 5*l(q) - 7*x(q).\nAnswer: -q**2 - 8*q - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -i**7\/4200 + i**6\/225 - 2*i**5\/75 + 32*i**3\/3 - 29. Let h(a) be the third derivative of f(a). Solve h(p) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 5*d**3 - 763*d - 682*d - 128*d**2 - 47*d**2.\nAnswer: -5*d*(d + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11076 - -19583. Let g = z - 2634. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 45 and 85.51.\nAnswer: 3847.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-6)\/(-54))\/(-5*(-14)\/1050)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14271 - 314047\/22. What is the common denominator of (-40)\/(-10) - 62\/(-24) and i?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 52325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120 (base 12) to base 5.\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-60*(-5)\/495)\/(7*(-32)\/336)\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 1\/3 (c) 2241 (d) -0.3 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 - 3*q**3 + 3*q**3)*(2*q + 0*q - 3*q).\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3 + 1 + sqrt(475)*-1)**2.\nAnswer: -30*sqrt(19) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*sqrt(637))**2.\nAnswer: 10192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98446 (base 10) to base 3.\nAnswer: 12000001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/1070 and -71\/140?\nAnswer: 14980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(-3\/5)))**(-2\/13)\/((w\/(w\/(w\/(w\/w**10)))*w*w)\/w*w**(7\/5)) assuming w is positive.\nAnswer: w**(-812\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**3 + 2*n**3 - 8*n**3.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-27)*((-297)\/45)\/11\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -35 + a1?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 6*a**2 + 6*a + 8. Let n be x(-2). Suppose 16*o - 3*t + 121 = n*o, -t + 154 = 5*o. Calculate the remainder when o is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 105600 + -1302?\nAnswer: 104265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -22. What is the fourth smallest value in -0.4, n, 4\/9, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i = -2*v - 2, 5 = 4*i - 3*v. Suppose 2*n + 8 = -i*m, -n + 3*m + 5 - 13 = 0. Suppose 0 = 5*l - 5*h + 4 + 6, 0 = l + h + 4. Sort l, 2, n.\nAnswer: n, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3865, -3\/7, -2, 154?\nAnswer: 2\/3865","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 4 = 4*u, -4*u - 4*i = -7*u + 8*u - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2636 + 162*v**2 - 25*v**3 - 2104 + 4740 + (-4*v**2 + 3*v**2 + 0*v**2)*(v + 0 + 0).\nAnswer: -26*v**3 + 162*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 649760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 8*b**2 + 2*b + 19. Give r(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/(-21)*(8 + -27 + 12). Let 4 + 79*j**2 + 52*j**4 - 189\/2*j**3 - 21\/2*j**t - 30*j = 0. What is j?\nAnswer: 2\/7, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -0.47.\nAnswer: 2.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8144 less than 8582?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3496609063?\nAnswer: 23, 6609847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 333*t - 3002. Determine f(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, u: 4}. Give prob of sequence uufu.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 87 - 437\/5. What is the fourth biggest value in 5, -2\/13, c, 0.09?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1605 divide 4652895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4485778 or -4485783?\nAnswer: -4485783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 9. What is k(-18)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 0) + -3 + 6 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*g + 30. Suppose -g = -3*u - 2*u. Let r(z) = -4*z**2 + 1. Let n be 2*(1 - (-21)\/14). Let q(v) = 9*v**2 - v - 3. Give n*r(f) + u*q(f).\nAnswer: -2*f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -718203 and 0.492.\nAnswer: -353355.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -29*n**3 + 2*n**2 - 2*n - 2. Let o be y(-2). Suppose -3651 - 3352 + 7971 = 11*h. Calculate the highest common divisor of o and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1786?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*j**2 + 6110115*j - 34499548 with respect to j.\nAnswer: 6*j + 6110115","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = f + 4, -5 - 10 = 3*f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/29155?\nAnswer: -4\/29155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-57)*(-15408)\/744. Let s = -8\/31 + o. Put s, 0.1, 0, -1 in ascending order.\nAnswer: -1, 0, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32475 * -2.2.\nAnswer: -71445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -113 - -104. Let s(f) = f**3 + 11*f**2 + 13*f + 18. Let n be s(b). Calculate the highest common divisor of n and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(832)*2 + -4 + 5))**2 + 5.\nAnswer: 128*sqrt(13) + 13321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 874591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 117295 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 1\/4 (c) 101 (d) 3.3 (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + 3 + ((sqrt(891)*1)**2 - sqrt(891)) + (sqrt(891) - (1 + sqrt(891)*-5))**2 + -5 + -2.\nAnswer: -117*sqrt(11) + 32961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 30 + 6 = -3*g, -4*n - 3*g = -21 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rq when two letters picked without replacement from wrqcs.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 3 + 4 + (27 + 23 - 15)*(-6 - 3 + 1))*(1 + g - 1) to h + s*g and give s.\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*j*o + 14*j - 367794*o - 7396 with respect to o.\nAnswer: 3*j - 367794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 5:24 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 57\/2 of a millisecond?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -138142, -138185, -138220, -138241, -138242, -138217, -138160, -138065?\n\"Answer: x**3 - 2*x**2 - 44*x - 138097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*t + 1 - t)*(739*t + 1788*t + 12364*t - 322*t).\nAnswer: 14569*t**2 + 14569*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -18. Suppose 0 = j*f - 8*f - 447. Let r be 6*(0 - -1 - f). Round r to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(512)*4)\/(((sqrt(528)*2 - sqrt(528))\/sqrt(11))\/(5*(sqrt(12) - (1*sqrt(12) + sqrt(12)) - sqrt(12)))).\nAnswer: 3200*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/2*r**3 - 47\/6*r**2 + 14\/3 + 58\/3*r = 0. What is r?\nAnswer: -7, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 84.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 26617, 26352, 25907, 25282, 24477?\n\"Answer: -90*j**2 + 5*j + 26702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**4 + 55*k**3 - 40*k**2 - 100*k.\nAnswer: -5*k*(k - 10)*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 2710117?\nAnswer: 2\/2710117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 523 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 8:32 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*d**3 - 55*d**2 + 55*d**2)*(1 - 1 - 3*d) - 9*d**4 + 2*d**4 + 0*d**4.\nAnswer: -28*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -592, -613, -656, -727, -832, -977?\n\"Answer: -i**3 - 5*i**2 + i - 587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -13) + 12 + 30\/(-1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1679 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -8. Suppose -3*g = -9 - k. Which is greater: 5 or g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1450725605 to the power of 1\/3, to the nearest integer?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 787 = -2*z + 812, 5*o + 75 = 2*z for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-9\/5)*m**(1\/19)*m\/m**(-1\/7)*m**(-3\/4)*m)**(2\/9) assuming m is positive.\nAnswer: m**(-943\/11970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-47*d - 54*d - 54*d)*(d - 34 + 30 - 2*d) in the form p*d + y + h*d**2 and give p.\nAnswer: 620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139770.\nAnswer: 2, 3, 5, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/349 and 31\/10.\nAnswer: 3490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36088 + 50754. List the prime factors of m.\nAnswer: 2, 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/7*(-350)\/200*1*-4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhdssobhhhshhdhdhhk. Give prob of sequence skds.\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/212355 and 32\/819.\nAnswer: 1486485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - 4*t + 64. Let s(n) = n**3 + 26*n**2 + 14*n - 810. Calculate the remainder when t is divided by s(-24).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + k - 2*j = 5, 0 = 2*k - 2*j - 8. Let v(o) = -2*o + o + k*o. Let m(z) = 0*z - 8*z + 3*z. Determine v(m(x)).\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -554940, -554915, -554896, -554889, -554900, -554935, -555000?\n\"Answer: -s**3 + 3*s**2 + 23*s - 554965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w. Let i(g) be the third derivative of -15\/8*g**4 + 0*g**3 - 1 + 0*g + 9*g**2. Calculate i(l(b)).\nAnswer: 135*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/21 + 26\/(-42). Let q = 0.06 + 0.14. What is the closest to q in 0.3, z, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 498886640 divided by 1960.\nAnswer: 254534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2110102202 (base 3) in base 5?\nAnswer: 3022211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 13. Let x(i) = i**2 + 11*i - 91. Let o be x(5). What is f(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/((-15)\/(-5))*(-204)\/(-1428)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1489995 < -1489738?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-20)*(-30)\/16*-4. Solve 2*g + b*d = d, 2*d + 15 = g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 + y**3 + 6*y**4 + (0*y - 2*y + 3*y)*(-18*y + 18*y - 5*y**3).\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*-1)\/((-14427)\/(-8244)*-1*4\/(-56))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -7*x**3 - 258*x + 13. Let a(j) = 3*j**3 + 130*j - 6. Calculate -9*a(h) - 4*f(h).\nAnswer: h**3 - 138*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5 = 5*p + 7*q, -5*q = -2*p + 37. Let a(i) = 26 - 8 - 4 - 14*i - p. Let d(c) = 5*c - 3 - 4*c + 4*c. Calculate -4*a(o) - 11*d(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10333529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 48223 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 22*k + 1. Let l be v(1). Suppose -1 = -4*c + 5*f, l = 5*c + 2*f - 3. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98287038 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -12*w + 10. Suppose 11*m + 33 = -0. Let o = 48 + -24. Calculate the remainder when x(m) is divided by o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 + 4*w**2 + w + 2. Let g(j) = j**3 - 2*j**2 - 1. Let l(m) = -2*c(m) - 5*g(m). Give l(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -241 + 2*u - 10*u**2 - 243 + 488 to the form l*u + s + i*u**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2174*l**4 + 7*l**3 + 7*l + 2611. Let b(c) = 7610*c**4 - 24*c**3 - 24*c - 9138. Let d(v) = -7*b(v) - 24*s(v). Differentiate d(m) with respect to m.\nAnswer: -4376*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) -0.323 (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51794632 to the power of 1\/3, to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*f**3 - 8*f**3 + 152*f - 2*f**2 + 61*f**3 - 35*f**3 - 3 - 10*f**3 to the form x*f**3 + y*f**2 + p + g*f and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -489 (base 11) to base 10.\nAnswer: -581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -604\/13 or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/7 - 506214*m\/7 - 506216\/7.\nAnswer: 2*(m - 253108)*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 11\/10 of a microsecond?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 11:25 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*g + 6*g. Let x(h) = 68 - 68 - h. Determine x(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15524, -31061, -46606, -62159?\nAnswer: -77720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-99)\/231 + 1086\/2730)*10.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/(-6) + -1)*-6. Let t(u) = 3*u**2 + 6*u + 1. Give t(g).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d**3 - 5*d**3 + d**3)*(3 + 3 - 4) + 10 - 17*d**3 - 21*d**3 + 39*d**3 in the form c*d**2 + u*d + m + p*d**3 and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3116.2 times 23.4?\nAnswer: 72919.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 130 + -129.39. Let b = -3.4 - -3.61. Let g = h - b. What is the biggest value in -2, 3, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310233 is divided by 2170?\nAnswer: 2093","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -38db + 2?\nAnswer: -38d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -23*t**2. Let c(s) = 20*s**2. Determine c(n(m)).\nAnswer: 10580*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by 50143.\nAnswer: 23\/50143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -10*a**2 + 13*a - 2. Let u(p) be the second derivative of -p**4\/12 - 4*p + 3. Let y(x) = -s(x) + 3*u(x). Find the second derivative of y(d) wrt d.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 538 - 517. Let d be -1*(-8 - -1) + i + -23. Which is the nearest to -14? (a) -1 (b) d (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26322 (base 7) to base 12\nAnswer: 4093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/16164 and 71\/25144.\nAnswer: 226296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 106 + -101. Let a be -2*(-9 - (-8)\/2). Suppose 0 = -5*y + 5*j + a + 5, 5*y + 3*j = 55. Solve 0 = -t - u*x + 8 + 11, 5*t = 4*x + y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + sqrt(2736)*1)**2*-1 + (4*(2 + sqrt(171) + 1 + 3))**2.\nAnswer: -2162 + 624*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 50*t**3 - 79*t. Let g(h) = 352*h**3 - 552*h. Let m(o) = 6*g(o) - 44*w(o). What is the second derivative of m(f) wrt f?\nAnswer: -528*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*-3*(-3)\/27. Suppose b*q = -q + 57. List the prime factors of q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*i - 1 = 4*q, 3*q + 5*i = -14. Let a be 0 + q\/(-1 - 0). What is the first derivative of 0*r**a - 10 + r**3 + 3 - 6*r**3 wrt r?\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1775 and 1008550.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6 and 1.3231.\nAnswer: 7.3231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2094*k**2 + 5*k**3 + 0*k - 4 + 2098*k**2 - 4190*k**2 - 2*k to the form v + l*k**2 + d*k**3 + a*k and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175661141.\nAnswer: 73, 419, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20360025, -20360014, -20360001, -20359986?\n\"Answer: x**2 + 8*x - 20360034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.062, -2, -4, -5, -131?\nAnswer: 0.062","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 + -39211.06.\nAnswer: -39219.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 215 - 201. Is c at most as big as -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -257544499.5902 - -257517885. Let o = 26363.66 + s. Let h = o + 251. What is h rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/10)\/((-41)\/(-205)) - (-42)\/8. Let l = 0.9 - 1.9. What is the nearest to j in l, -2, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14247564, -28495129, -42742694?\n\"Answer: -14247565*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 218856.18 seconds?\nAnswer: 3647.603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -7) + (-28991205)\/(-486). Let u = r - 59656. Find the common denominator of 181\/30 and u.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*g + 53*g - 221*g = 28 + 128 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v. Let j(c) = 14 - 14 - 2*c. What is j(n(y))?\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*f - 1287 = 678, 5*f = -25. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 10. Suppose -4*j + 3*q = -143, x*j + 2*q - 196 = -j. What is the remainder when ((-1)\/(-2))\/(1\/j) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1674835 divided by 655.\nAnswer: 2557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*f + f. Let z = 2618 + -201589\/77. Let b = z - -25\/77. What is the nearest to 0.6 in b, f, 1\/6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxfjxgx. Give prob of picking 1 f and 1 g.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -45, 0, -2 in descending order.\nAnswer: 4, 0, -1, -2, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -55 in -0.5, -2\/15, -0.164, -2\/13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 11\/3*i**3 - 8 + 2*i + 13*i**2. Find the second derivative of h(l) wrt l.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95878175 a multiple of 1075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/6 - (-6)\/12) + 4. Let c(g) = g**2 - 5*g + 6. Let j be c(m). Solve 2*h - 2*y = 0, 2*h - 2*y - 2*y = j for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 201956529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(200) + 4)**2.\nAnswer: 80*sqrt(2) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -9*n - 8*n + 26*n - 7*n. Let j(v) = -95*v + 5394 - 110*v - 5394. Calculate j(x(y)).\nAnswer: -410*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20763259, -20763250, -20763227, -20763184, -20763115, -20763014?\nAnswer: -20762875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 8 + 3*k**3 + 43*k - 43*k + 2*k**2 as m*k**3 + r*k**2 + y + z*k and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 + 13\/(-130)*(-60 - 2\/(-1)). Which is the biggest value? (a) 0 (b) -2\/13 (c) 33 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 54*z + 3. Is u(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y + 2. Let a be t(6). Suppose -6*g + 4*g + a = 0. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3509*a**2 + 7018*a**2 - 3509*a**2 - 11*a**3.\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(1 - (-5)\/(-2)). Let z be (6\/s)\/(1\/(-2)). Let y be 1*z*(-5 + 0). Solve y*f = -0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b - 2. Let q(z) be the second derivative of z**2\/2 - z + 78. Determine -6*q(s) - 3*t(s).\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + z**2 - z + 174. Let o be c(0). Suppose 5*g = -y + o, 2*y - 5*y + 508 = g. Suppose 5*f - y = 11. What is f rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88226 < 87303?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -7648.268 to the nearest ten.\nAnswer: -7650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - t + 1 + (1 - 2 - 1)*(4*t - 2*t - 3*t))*(4 + 1 + 1) as n*t + q and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3142 + -2177. Suppose 5*f + 2*v - 995 = 0, -7*f = -2*f - 4*v - h. Calculate the remainder when f is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 205*x - 12312. Give k(60).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -67, -9523, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6\/9691 and -55\/926812.\nAnswer: 10194932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*x**2 + 29*x**2 - 79*x**2 + 128*x + 25*x**2 in the form r + i*x + l*x**2 and give i.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -201 + -1224240?\nAnswer: -1224441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -116514638153660?\nAnswer: 116514638153665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 3 (c) -0.083 (d) 4 (e) 67 (f) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 259 + -143. Suppose -4*f + 4*z = -a, 2*f - 4*z - z = 43. Suppose -5*p + f = -3*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105)\/sqrt(3) - sqrt(35))*3)\/(sqrt(80)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 60ce9b + -2?\nAnswer: 60ce99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -316 + 314. Which is the third smallest value? (a) -0.1 (b) k (c) -0.134\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x + 9*h = 11 - 54, -12*x + 12*h - 1 = 9*h + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/21 + 3\/(84\/(-128))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*y + 5*p, 4*p + 24 = 3*y - 3. Suppose -y*w - 32 = -332. Is w a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f**3 + 2*f**2 + f + 54. What is m(0)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*v + 5398 + 5520 = -238*v + 2988 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61364186?\nAnswer: 2, 13, 17, 19, 7307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 4 + -6 - (17 - 17).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 56762 = 19*p - 992900. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116284*j - 2300*j - 43676*j.\nAnswer: -162260*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/5)*g**(-1)\/g*g\/g**2*g*g*g**(-1)\/g*g)\/((g\/g**0)**42\/(((g**(-1)*g)\/g)\/(g\/g**(4\/5)))) assuming g is positive.\nAnswer: g**(-222\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 12\/((-4)\/2). Let o = c - -9. Let m be (-2 - -2)\/(o\/3). Which is greater: m or -2\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1428)\/182*1053\/243\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-8)\/o)**40 assuming o is positive.\nAnswer: o**(-360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -4562316*x + 4562317*x - 18, 2*x - 46 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 12*r**2 + 42*r + 10. Let f be u(-6). Is -134\/5 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.135515 days to milliseconds.\nAnswer: 530108496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l**2. Let s(r) be the second derivative of r**4\/6 + 4*r. Give s(u(d)).\nAnswer: 32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 2*x + 3. Calculate r(6).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 63\/2, 1\/8, -5\/2, 6 in increasing order.\nAnswer: -4, -5\/2, 1\/8, 6, 63\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -3*t - 17, -4*i = -2*t + 4*t - 12 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1624312 is divided by 162426?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -8. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28441?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -0.3, -8, -3, -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**4 - 4*p**3 + 132*p**2 - 236*p + 112.\nAnswer: -4*(p - 4)*(p - 1)**2*(p + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**4 - 2*w**2 + 0*w**4 - 2*w + 0*w**4 in the form m*w + i*w**3 + c*w**4 + u*w**2 + l and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 6 + -3 - 114\/27.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 749 divided by 77\nAnswer: 107\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 9:58 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(396)*6 + sqrt(396))**2*6 - (sqrt(396) + (sqrt(396) + (sqrt(396) - (sqrt(396) + -3)) + sqrt(396) - sqrt(396))**2 + 5 + -1).\nAnswer: -42*sqrt(11) + 116015","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**7\/210 + w**6\/40 - w**5\/60 - w**4\/8 + w**3\/3 - 2*w**2. Factor b(i).\nAnswer: -(i - 2)*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11432153 is divided by 180?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/354 and 51\/8.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7925, 15849, 23773, 31697?\nAnswer: 39621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*b - 13*b + 67*b to u*b + x and give u.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6864, -6728, -6592, -6456?\nAnswer: -6320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 + 84*a**4 - 4*a**4 - a**4 + 3*a**4 + (2 - 2*a - 2)*(-3*a**3 + 2*a**3 + 0*a**3) + 3*a**4 - a**4 + 0*a**4 - a**4 + 6*a**4 - 3*a**4.\nAnswer: 88*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 26.\nAnswer: 0, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -s - y, 511 - 514 = s + 5*y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -p**4\/2 - 4*p**3\/3 + 8*p - 14. Let j(h) = -4*h**3 - 7*h**2 + 15. Calculate -6*j(k) + 11*x(k).\nAnswer: 2*k**3 - 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144583 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -3. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 11 = -4*q, 5*h = 5*q - 0*h + 70. Suppose 3*r - 76 = -0*r - 5*f, 0 = -4*r + f + 86. Let o = q + r. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 - 22. Let t(f) = -f**3 + 12*f**2 + 14*f + 4. What is the units digit of t(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*j - 18298 = -124*j - 2*r, -j + 4582 = -2*r. Is 32 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1\/2))**(-11)*k**(2\/3)*k**(1\/6))**(-27))**(-44) assuming k is positive.\nAnswer: k**7524","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -13*m - 4. Suppose 2*d = -d + 12. Suppose 6*q + 10 = q, -14 = d*f + q. Does 16 divide c(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + l = 12. Suppose l*n = -20 - 16. Let r be n\/15*2\/16. Which is bigger: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 444237, 889324, 1336113, 1785456, 2238205, 2695212?\n\"Answer: 142*k**3 - k**2 + 444096*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - m = -2, 4*n - 2*n = -3*m - 2. What are the prime factors of (n + -24)*-6*(-9)\/(-6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3, -0.6, 0 in decreasing order.\nAnswer: 7, 0, -0.6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2065*r = -4298*r - 46893 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 211 + -1 - 6\/3. Let g = -1499 - -1525. What is the greatest common factor of r and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2541 a factor of 46929729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (29319\/6)\/(12\/312). Let b = c + -195049. What is b rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, o: 8}. Give prob of picking 2 s and 2 o.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f + 3. Let m be c(-4). Let k(a) = -2*a - 7. Suppose w - 9 = -2*p, -w + 9*p + 9 = 8*p. What is the smallest common multiple of k(m) and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, k: 11, x: 3, r: 1, m: 2}. What is prob of picking 1 s, 1 k, and 2 m?\nAnswer: 11\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -674720.57 rounded to the nearest one hundred?\nAnswer: -674700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 11952?\nAnswer: 35856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 2004.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12175*s + 12509*s - 660 = 6688 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-4 - 9)) + -1 + -13\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of l**6\/360 + l**5\/60 - l**4\/4 + 2*l**3\/3 + 3*l. Let g(f) be the second derivative of d(f). Give g(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4154702 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5471000 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2 = 49. Suppose -12*m - 2345 = -y*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/435840 and 85\/43584.\nAnswer: 435840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (154*r + 188*r - 416*r)*(-3*r + 1 - 1).\nAnswer: 222*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2\/3, -0.3 in decreasing order.\nAnswer: 2\/3, 0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 13*v**3 + 2*v**2 + v + 259. Let o(z) = z + 1. Let c(b) = o(b) - q(b). What is the derivative of c(n) wrt n?\nAnswer: -39*n**2 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*g - 4. Let s(h) be the third derivative of h**5\/60 - h**4\/12 + h**3\/6 + 22*h**2. Give s(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 15. Suppose b + 42 = 4*b. Solve -b = 3*j + s for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -5\/3*y**3 - 1\/2*y**2 + 3 + 0*y. Calculate v(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 9*w. Let n(d) = 2*d - 10. Determine t(n(b)).\nAnswer: 18*b - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -10*i**3 - 15*i**2 + 14*i + 11. Let c(k) = -3*k**3 - 5*k**2 + 5*k + 4. Let r(w) = 7*c(w) - 2*p(w). Let m be (60\/(-50))\/((-2)\/(-10)). Calculate r(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-2*4*sqrt(208) + 5.\nAnswer: 5 + 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.96 + 1.8. Let l = 0.46 + y. What is the closest to 0 in 0.1, l, 2\/19?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3757)\/26)\/(6\/(-4) + 1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18417696 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -40*m + 4 + 7*m**2 - 5 - 41*m - 3*m**3 + 79*m. Let d(j) = -7*j**3 + 13*j**2 - 5*j - 2. Let l(c) = -2*d(c) + 5*f(c). Give l(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from cvvzxxvvpvzvpvzvv.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/(-10) + (-2)\/(-4). Let b(v) = v**2 - 4*v. Let x be b(s). Put 1, x, 5 in decreasing order.\nAnswer: 5, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 10. Suppose -20 = -g*b + 3*d, b = d + 4 + 2. Let h be (2 + (-5)\/b)*22600. What is h rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 - 21*h - 21. Let b be v(10). What is the nearest to 0 in -4, 2, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22914 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, s: 4, a: 4}. Give prob of picking 3 a and 1 b.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56407 - -115.\nAnswer: 56522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.070144197 rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 83342 = 5*o - 3*t, -2*o = -3*t + 33352. Round o to the nearest one hundred.\nAnswer: -16700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + (1 - 1))*-3. Suppose 4*k + 0*k + 5 = -i, -2*k + 8 = 4*i. Calculate the greatest common divisor of i and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.197 and -29.\nAnswer: -5.713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/14410 and -1\/11434990.\nAnswer: 125784890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(9*-1)\/(288\/(-48)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2142*h*o**3 + 588*o**3 + 2*o**2 with respect to h.\nAnswer: -2142*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 - 1239835.\nAnswer: -1239784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 43 - (766 - 739)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen quarters of a century?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -23*x**2 - 45*x - 238. What is a(-5)?\nAnswer: -588","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b. Let f(s) = 2*s - 7. Let j be f(5). Let y(t) = -j*t - 2 + 6 - 4. Determine a(y(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2177713 is divided by 169.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 + 26 = 7*n. Solve f - 3*f = n for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -2. What is the third derivative of 12*t**2 - 1220*t**3 - 31*t**h + 1220*t**3 wrt t?\nAnswer: -744*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**5\/4 + 80*m**4 - 2315*m**3 + 43895*m**2\/2 - 230355*m\/4 - 163863\/2 = 0. What is m?\nAnswer: -1, 9, 14, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 3:25 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z + 15 = -15. Let j = 53 - z. Is 27 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 + 5)*(g - g + 5*g**2).\nAnswer: 45*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, b: 1, o: 1, z: 1}. Give prob of picking 2 v and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -24. Let r = 2 + -5. Sort f, -1, 25, r in ascending order.\nAnswer: r, -1, f, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 0. Let h = -0.15 + 0.181. Let w = -0.031 + h. Which is the third smallest value? (a) w (b) 4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.3267 - 3048.3267. Is -0.06 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 4. List the prime factors of (j\/(-3))\/((-4)\/228).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-567)\/(-7) - (-1983012)\/(-24434)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2772743931?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 y when four letters picked without replacement from {t: 1, d: 1, y: 11}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/10 - (-42)\/(-240) - 490\/(-240). What is the closest to 0.4 in b, 4, -3, 0.23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 45*d - 8. Let s be q(7). Let i = -18 + s. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/16185 and -13\/4112650.\nAnswer: 160393350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 0 + 0 + (-3*y - 2*y + 6*y)*(2 + 0 - 1))*(4513*y**2 - 83*y - 2266*y**2 - 2235*y**2 + 4).\nAnswer: 36*y**3 - 249*y**2 + 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (1 + 2 + -3)) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 6 - 27 = -3*m, 12 = 3*m. Calculate the highest common factor of y and 602.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 17*b + 62. Let c be n(-13). Suppose -c*d + 14*d = 48. What is the lowest common multiple of 7 and d?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2))**50\/((y\/y**5)\/(y**(3\/2)*y)) assuming y is positive.\nAnswer: y**(-187\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 3*a = -27, 2*g + 2*a + a + 9 = -0*a for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 6995627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 1. Let m(a) be the first derivative of -16*a**3\/3 - 7*a + 2784. What is 28*l(s) - 4*m(s)?\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*c + 4*c - 33. Let b = c + 19. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -298177.161797 - -299816.1604. Let s = 1639 - f. What is s rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 894, -2565, 4 in ascending order.\nAnswer: -2565, 4, 894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94787.\nAnswer: 7, 11, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1818 + -2886. Let m = p + 1537. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + (-2 + -7 - -9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 61836.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 167\/3 + (-6)\/9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (3 - 2 - (-9 + 7)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/12 and -101\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8155 + -8163. Which is the third smallest value? (a) y (b) 1\/3 (c) -0.234\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of 0*x**5 - 7\/8*x**4 + 0 + 0*x + 0*x**3 - 16*x**2 + 13\/120*x**6. Find the second derivative of z(l) wrt l.\nAnswer: 78*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1151828?\nAnswer: 2, 151, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35345092537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*k = -281560, 265*k - 20 = 270*k. What are the prime factors of a?\nAnswer: 70393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, f: 1, s: 5, t: 5, q: 2}. What is prob of sequence sfq?\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 544 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1620 + 0?\nAnswer: -1620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 7 = 5*p, 0 = 2*h - 0*h + 6. Factor -2*r**2 - 31*r - 9*r + 6*r**p + 80 + r**2.\nAnswer: 5*(r - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(119) - 1*sqrt(119) - sqrt(119))*-1)\/(sqrt(21)\/(sqrt(9)\/sqrt(12))).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/7 (b) -17\/8 (c) 2\/873 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/7 > 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2903040 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 50 + 82 - 21)*(-2*v + 7*v - 3*v) as g*v + r and give g.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 7. Suppose 0 = t*a - 15 + 3. Calculate the remainder when 1\/a - (-62)\/3 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -2*j**3\/3 + 2*j**2\/5 + 6*j\/5 - 6. Factor d(z).\nAnswer: -2*(z - 1)*(5*z + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 700591 is divided by 140115?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 120500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0*-4482948.4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3594806?\nAnswer: 2, 911, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -177 + 176. Let d = 10 + -10.7. Is d bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4979 + 6060. Calculate the greatest common factor of 141 and v.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 18855*t - 2639716. Give j(140).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3870 = 4*n + 1265, -1946 = -3*n + 4*a. What is the lowest common multiple of n and 30?\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.47 + 0.47. Let b = -34\/365 - 1\/146. What is the nearest to 2\/5 in b, l, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 351, 352, 353, 354?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, a: 1, c: 3, w: 5}. Give prob of sequence cwwc.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 10 - 104 = 18*f, -34*o + 33*o + 151 = -22*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k**2 - 2*k. Let a(r) = r. What is a(z(o))?\nAnswer: -4*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ivjvvjiriviivivivz. Give prob of sequence zijv.\nAnswer: 49\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-46)\/11408*-48)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.2 - -30.8. Let u = -31 - b. Let q = u - -89. What is the biggest value in q, -0.5, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) + 0)*-3 + sqrt(432)*2*-5)**2 + 3.\nAnswer: 73011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r - 14. Let s(q) = -38 - 21 + 2 - 11*q. Let x(h) = -9*o(h) + 2*s(h). Differentiate x(i) with respect to i.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 179 - (117 + 72 + -103)\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.66 + -2.34. Let w = 18.81 - -0.19. Let r = w + s. Which is the biggest value? (a) r (b) 0.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 4 = -5*r. Suppose -15 = -4*v - v. Suppose 2*l - 125 = -v*l. Calculate the remainder when l is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 4. Let g be -6*(15\/6 - 3). Solve 4*t = p, 3*c - 3 = g*t - 2*t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101710 to the power of 1\/2, to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 14*q - 4. Let a(g) = -3*g**2 + 40*g + 16. Let f(u) = 3*a(u) + 8*d(u). Calculate f(12).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*s + 3 = 29*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 7:21 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.601 + 5.36. Let f = m + 0.1. What is f rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 - (166 - (29 - 33) - 29)\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 193\/2310 and 149\/60522?\nAnswer: 302610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1389278 and 10.\nAnswer: 6946390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 352?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-60)\/18*69\/(-2). Suppose a = -0*u + u. Suppose 0 = 4*t - u - 41. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2529.9 - 2195.9. Sort 0.5, l, 3 in decreasing order.\nAnswer: l, 3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1147113269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a millennium in years?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -76745?\nAnswer: 9\/76745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -31*i**2 - 14*i + 1. Let s(z) = -z**2 + z - 1. Let b(r) = -p(r) - 5*s(r). Let g be b(-2). Calculate the greatest common divisor of 13 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106024604.5 rounded to the nearest one million?\nAnswer: -106000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -a80c (base 14) to base 12\nAnswer: -14964","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -8. Let f = u - -13. Suppose -2*j - 35 = -35. What is the closest to f in j, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*o - 87*o + 17*o**3.\nAnswer: 17*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5175, -9063, -12949, -16833, -20715?\n\"Answer: r**2 - 3891*r - 1285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1649331 and 1163.\nAnswer: 1650494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -723 + 240 + 237 + 14*b**2 + 246. Let m(l) = -8*l**2. Determine a(m(v)).\nAnswer: 896*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 1 - (-1 + (-4 - -6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3212.4 + 2960. Let m = 105 + 91. Let o = m + d. Round o to 0 decimal places.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(-3*sqrt(2)) + sqrt(9) + sqrt(9)*-3*5)\/((sqrt(363) - ((1*sqrt(363) + sqrt(363) - sqrt(363))*-5 - sqrt(363)))*-3).\nAnswer: 43*sqrt(3)\/693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (sqrt(11) - -6*sqrt(44)))**2 - (-2 + sqrt(11)*-1)) + 1.\nAnswer: sqrt(11) + 1587","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/160, 78, -0.4?\nAnswer: -1\/160","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a millennium in years?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d. Let t(c) = 3*c**2 + 231491*c. Determine t(l(n)).\nAnswer: 27*n**2 - 694473*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11460698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**2 + 16*i + 12 = 0 for i.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 786.3582mm?\nAnswer: 0.0007863582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.395 + 12311.\nAnswer: 12311.395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1095 and 326310?\nAnswer: 326310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -1\/3, -8, 1, -4\/5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + -4?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**3 + 16*v**3 - 4*v**3 + (2*v - v + 0*v)*(167 - 3*v + 2433*v**2 + 4*v - 2431*v**2) to the form o + w*v + k*v**3 + p*v**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 86, -7, 0 in increasing order.\nAnswer: -12, -7, 0, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1603 and -262327.\nAnswer: -420510181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112097 is divided by 157?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -w + 4. Which is the nearest to 1\/2? (a) 0.05 (b) w (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w**3 + 59*w**2 + 242*w. Let x(g) = g**3 - 14*g**2 - 61*g. Let f(l) = -2*u(l) - 9*x(l). Determine c so that f(c) = 0.\nAnswer: -5, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + -13. Let f = 12.4 - w. Let p = -18 - -13. Which is the closest to 0.1? (a) 0.5 (b) f (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -522893 = -6*x + 5*x + 12*s, x + 3*s = 523013. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -u - 9300003, 6*u - 4*u - 4*r = -18600012. What is u rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -66885*a + 45. Let s be x(17). What is s rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2495 + 1.7495. Let t = -225 + 224.8. What is the closest to f in 0.3, t, 0, 1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 613887 times 6.2\nAnswer: 3806099.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 2:59 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 45*w + 26457 = 9*w + 26552, -2*i + 4*w - 54 = 0 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(-1)\/(-2) + 2. Let x(w) = w**2 + w - 1. Let c(a) = 8*a**2 + 7*a - 7. What is r*c(d) - 14*x(d)?\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*f**2 - 59*f**2 + 0*f**3 + 33*f**2 - 23*f**3.\nAnswer: -23*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.5 - 8.2. Suppose -7 = 8*x - 47. Which is the nearest to -0.2? (a) z (b) -0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000030826 to 7 dps.\nAnswer: 0.0000308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvhi when four letters picked without replacement from ivhfqff?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -520*t - 29. Let g(a) = 5. Give 6*g(u) + i(u).\nAnswer: -520*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 56*w + 10227 = 58*w, 0 = -5*w - 20. Calculate the highest common divisor of g and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -1672*n**4 + 4*n - 60. Let j(q) = 1673*q**4 - 3*q + 61. Let i(c) = 4*j(c) + 3*x(c). What is the first derivative of i(l) wrt l?\nAnswer: 6704*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-34*g**2 - 179*g**2 - 15*g**2 - 56*g**2)*(3*g**2 + 0*g + 0*g) to the form t*g + n*g**3 + u*g**4 + c*g**2 + p and give u.\nAnswer: -852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2079*i**2 + 32415147*i - 32415147*i.\nAnswer: -2079*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 645504?\nAnswer: -1\/107584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -113*j**2 - 2*j + 791. Let d(u) = -132*u**2 - 2*u + 790. What is -6*d(s) + 7*z(s)?\nAnswer: s**2 - 2*s + 797","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 8068*g - 405. Is k(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v - 1. Suppose 0 = -11*b + 6*b + f + 18, 5*f + 15 = 0. Let w(j) = -j**3 + 4*j**2 - 2*j - 3. Let t be w(b). Suppose t = -2*h + 1 + 1. Give k(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.42448 to one decimal place.\nAnswer: -25.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 24.3. What is f rounded to 2 decimal places?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28642644 and 5418.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a kilometer in meters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 510555427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 196992 and 484671.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -565560, -1131118, -1696680, -2262246, -2827816, -3393390?\nAnswer: -3958968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-452)\/14*139\/(-5). Let o = k - 4532\/5. Let u = -289\/35 - o. Which is the nearest to -1\/4? (a) 0.5 (b) 1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00294302358 to 4 dps.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 306491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 18?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - 2\/(-8)*2. Let p = -117.8 - -117.6. What is the nearest to p in v, 2\/27, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001461607 rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7*f**2 + 12*f - 8. Is h(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 184277 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p**3 - 21*p + 4. Let q(n) = 11*n**3 - 43*n + 7. Give 7*m(x) - 4*q(x).\nAnswer: -2*x**3 + 25*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -46 - 45 - 55 + 149 - 2*o. Let u(h) = 3*h - 4. Let b be (-2)\/4*-10 + -2. Suppose -b*j = 5*l + 7 + 8, 3*l + 4*j = -9. Determine l*u(r) - 4*a(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1363 and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) -0.08 (c) 188 (d) -12\/5 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1039*k**4 - k**3 + 21*k**2 - 4*k - 164762418.\nAnswer: 4156*k**3 - 3*k**2 + 42*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/((y\/y**(-1\/6))\/y))\/(y**3\/y)*(y*y**(-1))**47*(y**(-1\/3)\/((y\/y**(-4\/3))\/y))\/(y**0)**(-42) assuming y is positive.\nAnswer: y**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*12*(1 + 0). Let o = g + -43. What is the common denominator of 12\/5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, -2, 0.4, -2\/19, 104652, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, -0.9, -2\/5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/7 and 7\/59284.\nAnswer: 414988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/389532 and 217\/9026160.\nAnswer: 2048938320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 1, -2*q = 2*u - u - 1. Let p = 10 - u. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6, 33, 154, 399, 810, 1429?\n\"Answer: 7*k**3 - k**2 - 7*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65712 and 13394.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-291)\/(-6) - 2)*(-2)\/(-3) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 19*f + 43. Let i(s) = 3*s**2 + 38*s + 87. Let c(q) = 5*g(q) - 2*i(q). Let b be c(21). Let d(u) = 2*u**3 - u. Give d(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 8. Let o(m) = 2 + 2 - 3 + 0 + 2*m. Calculate o(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 2712 + 1074. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w - 13*w + 17*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -35648893 divided by -5\nAnswer: 35648893\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 13. Let y be l(10). Suppose -4*g + 2 = -y*g. Suppose -g*w = -w. Solve w = -i + 2*i - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -284*d - 2764. Calculate the smallest common multiple of 152 and u(-10).\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, n: 1, u: 1, w: 5, a: 5, g: 1}. Give prob of sequence gl.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + g + 4 = -3*o, 8 = 5*o + 4*g for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.9*-497.004.\nAnswer: -4920.3396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15820846236 to five dps.\nAnswer: 0.15821","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 607*r + 7732. Let x be g(-7). What is the greatest common factor of 18 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5624, 10277, 14930, 19583, 24236, 28889?\n\"Answer: 4653*s + 971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**4\/6 + 67*v**3 + 5260*v**2 - 32161*v\/3 + 10787\/2 = 0 for v.\nAnswer: -69, 1, 469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 6:43 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**5\/f**(-2\/5))\/(f**(-2\/11)\/(f\/(f*f\/(f*f\/(f\/((f*(f**(1\/3)*f)\/f)\/f))*f)))) assuming f is positive.\nAnswer: f**(1141\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-117)\/(-15) + 2\/10. Let a = l + 5. Suppose 4*y - 2*s - 28 = -7*s, -18 = -y - 4*s. Solve y*c + 3 = a for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13669927?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2282094708 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 3*l = -77. Calculate the highest common divisor of l and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8\/(52\/39 + 218\/(-168))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 8. Let u be f(6). Let g be (1\/(-4)*u)\/(-2). Suppose 15 = -0*c + 3*c. What is the biggest value in g, c, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 99*v**2 + 5*v. Let u(g) = -49*g**2 - 2*g. Calculate 2*o(j) + 5*u(j).\nAnswer: -47*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -4.\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 j, and 1 a when three letters picked without replacement from jazazzaxazjzajxt?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/3 - 21343*n**2\/3 + 110978155*n\/3 + 10390574225.\nAnswer: (n - 10805)**2*(n + 267)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -167, 56, 4, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and 535.\nAnswer: 534.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-19 + 20 - (1 + 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 4*a - 5*a - 23, 0 = -5*a - 15. Suppose -y = -i - 8. Solve i*v = -5 + 9 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - 17?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 - 7*o - 7. Let h(a) = 4*a + 1 + 75*a**2 + 3 + 76*a**2 - 150*a**2. Suppose 2 = -m + 4. Suppose -m*c + 5*c = 12. What is c*i(s) + 7*h(s)?\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 3*n + 6, n - 4*q - 6 = 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-8 - -22 - -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/24)\/(((-3)\/15)\/(9\/(-15)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7397?\nAnswer: 13, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*d + 76. Let i(n) = -n - 31. Let z be i(-9). Let g = z + d. Which is bigger: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2524\/13 + -194. Let g be (-11)\/2 - (-36)\/9. Which is the third biggest value? (a) g (b) -5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3896*y**3 - 32*y**2 + 1104431 wrt y.\nAnswer: -11688*y**2 - 64*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5332348*j**2 - 89332*j + 89330*j + 5332350*j**2.\nAnswer: 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (46\/(-2576))\/((-7)\/(-14))\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**6\/40 + m**5\/60 + m**4\/24 + m**2. Let u = -4 - -3. What is the units digit of w(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 186409a99 - -4?\nAnswer: 186409aa1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -136, -248, -368, -496, -632, -776, -928?\n\"Answer: -4*y**2 - 100*y - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1436 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -105 + 425\/4. Let g = 0.1 - -0.7. Let q = g + 0.2. Which is the second smallest value? (a) q (b) -5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 332*r**2 - 133463*r - 327. Determine u(402).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12\/5, 3, 0.2, 4 in descending order.\nAnswer: 4, 3, 12\/5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1690270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 116 + -88. What is the remainder when 164 is divided by o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.5 and -0.31.\nAnswer: -2.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 13518*o - 40523. Determine q(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 380.7261ml?\nAnswer: 0.3807261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, d: 2, z: 4}. Give prob of picking 3 z.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - 1334 + 1337 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.57808 + 0.10788. Round u to 2 dps.\nAnswer: -1.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4134466128?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -5*i**4 - 195*i**3 - 695*i**2 + 195*i + 700 = 0.\nAnswer: -35, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 17*b**2 + 6*b + 34. Let z be d(12). Let j = -135 - z. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -446\/91 + 60\/13. Sort -1.3, t, -3 in decreasing order.\nAnswer: t, -1.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*j, -2*r + 2*j - 3*j = 19. Suppose 2*v + 9 - 1 = 0. Let p = -3 + v. Is r >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20916 = 1286*m - 1784*m for m.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 82054233 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 344*m**4 + 296*m**3 - 333*m**3 - 426*m**4 + (0*m - 2*m + m)*(-3*m**3 - 3*m**3 + 4*m**3) + 2 - m**4 - 2 - 3*m**4 + 2*m**4 - m**4.\nAnswer: -83*m**4 - 37*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6981926 is divided by 1745473?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 595*d*r**2 + 208832*r**2 wrt d.\nAnswer: 595*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -64325245474 + -8.2.\nAnswer: -64325245482.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**3 + 84*q**2 - 13*q + 5. Determine t(-5).\nAnswer: 1920","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 - 13*v + 143. Calculate g(9).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -3*l**3\/5 - 24*l**2\/5 - 57*l\/5 - 36\/5 = 0.\nAnswer: -4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22337203 and 917.\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 divided by 342456.\nAnswer: 43\/342456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.49 and -7724.\nAnswer: -7726.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18780737\/180 - -104337. Calculate the common denominator of -151\/252 and d.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -230, 2\/13, -5, 0?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13227598 to the power of 1\/4, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.05 from -0.133.\nAnswer: -0.183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 254 + -127. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -6) + 2 - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*t + t**2 - 106*t**4 - 108*t**4 - 2*t**3 + 215*t**4 to the form z*t**2 + u + s*t + a*t**4 + x*t**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -4*u - 42, 119 - 114 = u - 7*y for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + 9*x - 48 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/1*8\/24. Suppose 20 = 4*c, 0 = -z - b*c + c. Put -4, z, -5 in descending order.\nAnswer: z, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.004 - 0.404. Put q, -48, 1 in decreasing order.\nAnswer: 1, q, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-8)*w**(-5\/2)*(w*w*w**(-1)*w)**(-3) assuming w is positive.\nAnswer: w**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + m + 189. What is the remainder when j(-15) is divided by 58?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4 - (3 + -4)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1175229.\nAnswer: 3, 11, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -22115?\nAnswer: 22120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275518?\nAnswer: 2, 347, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*k + 68. Suppose -2*g = b, k = -g + 2*b + 2*b. Calculate the remainder when 872\/40 - g\/10 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/27, 4, -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f - 1. Suppose 2*g = 7*g - 30. Let i(h) = -2*h - 2 + 4*h - 9*h. Let l(m) = g*r(m) + i(m). What is l(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -767, -1546, -2327, -3110, -3895, -4682?\nAnswer: -5471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 204, -101, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**3 - 42*c**2 + 22*c - 70. What are the prime factors of l(-22)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 4, k: 3, z: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62947, 62944, 62941, 62938, 62935?\nAnswer: 62932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 1. Let k be 5*p\/(-20) - -48. Suppose c = 11*c - k. Let j(a) = -a + 1. What is j(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 5)*(5*i**4 + 7*i**4 + 3*i**4)*(-7 + 4 - 3 + 1 - 3 + 0 + (-3 + 4 - 3)*(0 + 2 + 5)) to b*i**4 + y + d*i + h*i**3 + z*i**2 and give b.\nAnswer: 660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 16 + 16*b**2 + 7.\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-945)\/10)\/(-21)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 b when two letters picked without replacement from abavbbbbv?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 22*k**2. Let o = 47 - 38. Let c(w) = 4*w**2 - o*w**2 + 3*w**2. What is t(c(i))?\nAnswer: 88*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -124*b**3\/3 + 7248*b**2 - 315392*b - 619520\/3.\nAnswer: -4*(b - 88)**2*(31*b + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/8 not equal to -176.003?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -13, -14, -25, -46, -77, -118, -169?\n\"Answer: -5*z**2 + 14*z - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8671 - -16388191\/1890. Let p = 15499\/1890 - w. What is the common denominator of p and (-2001)\/108 - 2\/9?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 3447\/2 + -1724. What is the second biggest value in 2, 15.1, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5 = -1. Let u = k - -1. Suppose u*t - 24 = -2*t - i, -4 = 4*t - 5*i. Solve -3*c + 5*d = -2 - 9, 3*c = -t*d - 25 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -29. Suppose -z*t = 2*m - 15, -4*m - 3*t + 5*t + 6 = 0. Factor -22 - 7*w**3 - 2*w**2 + m*w**3 + 10*w + 18.\nAnswer: -2*(w - 1)*(w + 2)*(2*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.59 - -0.46. Let j = v + -0.05. Let f be (-1)\/4 - 2\/(-8). What is the nearest to 1\/4 in f, 0.1, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((((1*sqrt(66)*-1 - sqrt(66)) + sqrt(66))*1)\/(4*((sqrt(60) - (sqrt(60) - sqrt(7260)))\/sqrt(10) + sqrt(6))))**2*-5.\nAnswer: -275\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**6\/120 - v**5\/20 - v**4\/4 - v**3 - 10*v**2 - 39*v. Let h = 38 + -33. Give l(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -6*i**2 + 167*i + 6. Let g(c) = c**2 - 33*c - 1. Determine 22*g(u) + 4*r(u).\nAnswer: -2*u**2 - 58*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 5*k + 1. Let m be r(-4). Solve -m*x = -x + 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**4 + 6 - 6 + (-m**2 - 2*m**2 + 0*m**2)*(-m**2 + 4*m**2 - m**2) - 3*m**4 + 2*m**4 - 2*m**4 + 0*m**2 + 0*m**2 + 2*m**4.\nAnswer: -5*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 814 + 555 = -95*h + 39 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 0.037, -8\/3, -9\/4, 1?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 46, 47, 48, 49?\n\"Answer: s + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of 187*c**7\/70 + c**4\/8 - c**2 - 14. What is the second derivative of u(p) wrt p?\nAnswer: 6732*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 0*i - 8*i - 4*i. Let h(b) be the second derivative of -b**4\/12 - 2*b + 2. What is r(h(x))?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192 = -20*r - 12*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3.044, 0.04, 0.5, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*v - 2, -3*v = -5*y + 2*v - 10. Suppose -s + 4*u - 5*u + 31 = 0, 5*s + y*u = 147. What is the remainder when 808 is divided by s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7434 - 7432. Which is the third biggest value? (a) m (b) 1 (c) -1\/3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1895778 to three decimal places.\nAnswer: -1.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 30661*w. Let n(c) = -12*c. What is n(m(x))?\nAnswer: -367932*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 989?\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 585096*m**2 - 1197570*m**2 + 582325*m**2 to x*m**2 + f + k*m and give x.\nAnswer: -30149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193639?\nAnswer: 83, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 6:24 AM?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 g when three letters picked without replacement from {g: 4, a: 2, v: 7}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0793 + 0.9207. Which is the fourth biggest value? (a) u (b) 2\/5 (c) 0.5 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2 - 3*t + 1 - t. Let y(h) = 5 + 52*h + 45*h - 104*h. Let a(r) = r**3 - 5*r**2 + 7*r - 6. Let s be a(4). Calculate s*y(v) - 10*j(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 7*a - 4*a**2 - 3*a**2 - a + a**3. Let h(g) = 2*g**2 + 4*g. Let n be h(-3). Let y be k(n). Solve y = -5*i + 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, x: 3, p: 1}. What is prob of picking 3 h and 1 p?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1870060 and 10?\nAnswer: 1870060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-441606)\/10)\/(-3))\/(6\/(-505)). Let s = -1235272 - q. Let f = -3655 + s. What is the common denominator of f and -65\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/85 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -509*d**2 + 480*d + 1432. Let z be o(-3). Which is smaller: -4588 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 5:41 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, i: 2}. What is prob of sequence iooi?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6532 and 68692500?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -q**7\/840 - q**6\/360 + q**5\/120 + 7*q**3\/6 - 8*q**2 + 3. Let m(c) be the first derivative of v(c). Determine m(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7\/(-35))\/(-1 + 28\/20). Sort i, 1\/3, 5.\nAnswer: i, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/2*(-1)\/10. Let f be 1 + (-3)\/8 - (-4)\/(-8). Which is the second biggest value? (a) x (b) f (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2167 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -149*z + 21*z**2 + 1 + 47*z + 18*z**3 + 0 + 46*z + 55*z to the form u + w*z**2 + c*z + q*z**3 and give w.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(17) - sqrt(153)\/sqrt(9)) + 0)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d + 9*d - 37*d + 11*d + 13*d + 13*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -5 and -160\/29 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10100 (base 2) to base 12\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 7*z - 7. Let o be j(8). Let a(l) = -990000*l**3 + l**2 - 2*l + 1. Let d be a(o). What is d rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177232371.\nAnswer: 3, 53, 149, 7481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-32)\/12*(-3)\/4. Suppose x*g + 20 = 6*g. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g = 4*h + 124, 1820*g - 1822*g + 136 = -5*h for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 16*d + 5. Let c(p) = -30*p - 8. Let i(b) = 6*c(b) + 11*k(b). Let s(r) = -r + 2. Calculate -4*i(l) + 14*s(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 774997 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 2629107?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4443*s - 8882*s + 4438*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = 4*r - 5*r. Solve 5*j - g - 22 = 0, -j + 8 = -r*j + g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 4:12 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - v - 9 = 0, 5*o + 5*v - 15 = -0*v. Suppose q - o*l - 1 = -5*l, -l = -5*q + 1. Solve q = -3*j - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 930 and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*t - o = -172, -4*t - o = -137. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2754.717 + -2668.8. Let t = d + -86. What is t rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53495 - -75479. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 821244 plus -0.1?\nAnswer: 821243.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -5*t - 22, -2*t + 2 = -2*y - 0*y. Let n be 5\/(-94)*1140\/(-250). Let c = -2\/47 + n. What is the second smallest value in -8, t, c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1250753?\nAnswer: 7, 197, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 105\/4*y**2 + 3\/8*y**4 - 11\/2*y**3 - 75\/2*y + 61. Suppose w(m) = 0. What is m?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(180))\/sqrt(12) - sqrt(1500)*2)\/((-2*sqrt(120)\/sqrt(4))\/sqrt(10)).\nAnswer: 19*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -80 + (91 - 78 - (12 - -2) - 11 - -8).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/z**(-14))*z**(-6\/5) assuming z is positive.\nAnswer: z**(-76\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 2:38 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 900488654, 1800977306, 2701465958, 3601954610?\nAnswer: 4502443262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*o - 24 = 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05413 and 3.\nAnswer: 0.16239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i**3 + 16*i - 36. Suppose 3*w - 4*w + r + 16 = 0, 5*w = 2*r + 65. Let f(n) = n**3 + 3*n - 7. Let j(l) = w*f(l) - 2*y(l). Determine j(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 257171?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10613 - -14932. Suppose 5*x + 4*k = w, 0 = x + k - 938 + 74. List the prime factors of x.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33220 + 33220.3. Let c = -1 + 1.4. Let d = -0.1 - c. Sort p, 2\/5, d in increasing order.\nAnswer: d, p, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 8*l**3 + 3*l**2 - 2*l + 3. Let x(j) = 9*j**3 + 4*j**2 - 3*j + 4. What is 4*g(t) - 3*x(t)?\nAnswer: 5*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(300\/(2700\/(-45)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 215*p**2 - p. Let z be q(1). Let g = -145 + z. Suppose g = 5*j - 6. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 103*x + 8 = 104*x, 2*j - 5*x + 19 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 590730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 980, 3\/5, 1, -0.5, -2\/3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1101, 2243, 3385, 4527?\nAnswer: 5669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-884)\/104*((10 - -3)\/(-26))\/(4\/16).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7264 is divided by 363?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/8)\/(54\/90*25\/60)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.035 > 5.53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1580 + -328?\nAnswer: -2018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*t + 6 = -5*h, 2*h = t - 2. Find the second derivative of 17*a**2 + 7*a**2 + 25*a - 3*a**t wrt a.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 - (-10 - -11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffffjjffffffjfffff. What is prob of sequence ffj?\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 223, 624, 1371, 2638, 4599?\n\"Answer: 29*b**3 - b**2 + 201*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuwwwuwuwuwwwwwwww. Give prob of sequence uuw.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/12860 and -27\/50.\nAnswer: 64300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -494d (base 14) in base 6?\nAnswer: -135145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-20) - 2662\/220 - -51\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1516\/78 - (19896\/312 + -64)?\nAnswer: 59\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -16*h - 13 - 9. Is 4\/251 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83421*o - 41873*o - 41568*o.\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-91 + -96 + 181 - (-42 + (-1 - -1)))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -4 (c) -29 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117632807?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (-17 - (12 - 0)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -717 (base 9) to base 16\nAnswer: -247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r + 4 - 5 - 1 + (3*r - r - r)*(-1 + 1 - 1) + (3 + 2 + 0)*(-2*r + 2*r - 2*r) - 5*r + r + 2*r as w + v*r and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 0*n + 5\/6*n**3 - 3*n**2 + 1\/6*n**4 + 0. Differentiate z(c) wrt c.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 91, 166, 249, 328, 391?\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - l**2 + l + 2. Let w be b(0). Let z be 0 + w - 30\/25. What is the nearest to 1 in z, -0.1, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 9:59 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*d + 302 = 116, 0 = 3*z - 5*d - 241. Let g(i) = 89*i - 6 - z*i + 0 + 2. Let c(f) = 3*f - 5. Determine -4*c(r) + 5*g(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3, 20, 77, 186, 365?\n\"Answer: 3*j**3 - j**2 + 5*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.068649195 rounded to five dps?\nAnswer: 0.06865","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - 3*(-2)\/3. Suppose 24 - 129 = -c*y. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 5707 + 773. Let h be (-2)\/13 + f\/390. Calculate the greatest common factor of h and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 22. Let a be z(-10). Solve -2*h = h - a for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -29*y**2 - 2*y + 2. Let c(w) = 1161*w**2 + 81*w - 81. Let z(h) = 2*c(h) + 81*t(h). Let i(a) = 12 + 176 - 188 + 2*a**2. Determine i(z(k)).\nAnswer: 1458*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 2*r**2 - r + 44. Let w be d(0). Let c = 46 - w. Let p = 14 + -8. Solve x + p = c*h, h - 2*h = -4*x - 17 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2)\/a)**(5\/3) assuming a is positive.\nAnswer: a**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 4, 0 = -10*p + 5*p - 2*m + 3. Let r = p - -4. Suppose q = r*q - 40. What is the greatest common divisor of 90 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + a = q + 3, -q - 4*a + 6 = 0. Let s = 16 + q. Suppose g = -s + 66. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (-31)\/2*2. Suppose -5*h + 3 - t = 0. Let p be (h + 8)*(-1)\/4. Sort p, -4\/7, 2.\nAnswer: p, -4\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -940 - -1055. Is -3 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 4*z + 170. Let b be (-5)\/(-10) - z\/2. Solve 0 = 2*o - 0*s - 4*s - 20, 5*s + b = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 358582, -0.1, -0.59 in increasing order.\nAnswer: -0.59, -0.1, 358582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddffmmmfmmfm. Give prob of picking 2 d.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*a**2 + 4*a + 7*a**3 - 6*a**2 + 6*a**4 - 11*a**3.\nAnswer: 2*a*(a - 1)*(a + 1)*(3*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 186, 290, 396, 504, 614?\nAnswer: 726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*y + 7, 0*s = 3*s - 3*y - 6. What is the remainder when 46 is divided by (2 + (-2 - -16))\/s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2438029521887 minus 0.3?\nAnswer: 2438029521886.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(44) - sqrt(3564)*-1) + -4)**2 + (sqrt(1584) + (sqrt(1584) + 0 + -5 - sqrt(1584)))**2 + sqrt(1584))*-3.\nAnswer: -18075 + 804*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 44 = 4*v, 58 = 5*i + 2*v - 3*v. Suppose -i = -2*l - 0*l. Solve -2*x - l = -4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -350*x**3 + 676*x**3 - 344*x**3.\nAnswer: -18*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**4 + z**4 + 5*z**4)*(2 + 4 - 3) + 569 - 649*z**4 - 569.\nAnswer: -646*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*x + 38544 = -93*x. What is the remainder when x is divided by 136?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 533 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 35?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -204559, -204401, -204243, -204085?\n\"Answer: 158*j - 204717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-84) + 9\/(-27))*-7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 0.11, -0.38, -2 in ascending order.\nAnswer: -2, -0.38, -1\/4, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22819562453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - (29 - (31 - 17))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 6:22 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/14 and 73\/72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1923 - 1136. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2 - 13. Calculate q(-6).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639476445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -2*q**6\/15 + 4*q**5\/15 + 16*q**2. Find the third derivative of x(i) wrt i.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-48) + 11\/6. Suppose 4*f - 17552 = -4*q, 1758 + 2624 = f - h*q. Suppose -f = -4*p + 22414. What is p rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*w = -3, -4*x + 6 = -3*w - 4. Suppose -h = -x - 100. Is h a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19001 - -18997. Sort -13, -5, 5, i, 9 in decreasing order.\nAnswer: 9, 5, i, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12103 - -203?\nAnswer: -11300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 2:34 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -814441183, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 267\/10 - 1543\/40. Calculate the common denominator of s and 17277\/429 + 624\/(-16).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 148 and 3492504?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 4*o**2 + 5*o + 1. Let b(j) = 2 - 11*j - 9 + 8*j**3 - 7*j**3 - 11*j**2. Let z be b(12). What is f(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -991896 (base 10) to base 11.\nAnswer: -618254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 - z + z + (-z - 2*z - 2*z)*(-3 + 3 + 4*z) - 2*z**2 + 0*z**2 + 0*z**2.\nAnswer: -20*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**3 + 4*q - 6. Let i = -10 + 5. Let h be m(i). Suppose o - 4*o = 12, -4*y + 3*o = -h. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -418 divided by 5156?\nAnswer: -209\/2578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1064 is divided by 67.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/8 - 1\/8. Which is the nearest to f? (a) 17 (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000315817522 rounded to five dps?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253*s**2 - 488*s**2 + 986*s**2 - 247*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.8 - 12.8. Let d = -10.6 - x. Suppose -3*y = -2*n, -2*y - 4 + 6 = -2*n. What is the second smallest value in y, 0.3, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -12, -10\/3, 0, -7095, -2\/9, -0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 620463182 at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**2 - 50*z - 217. What is y(22)?\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4522454011 - -1?\nAnswer: 4522454012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 203 - 811\/4. Let d(l) be the second derivative of 1\/80*l**5 + 0 - 1\/8*l**3 + 0*l**4 + r*l**2 + 2*l. Factor d(h).\nAnswer: (h - 1)**2*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 10775*p**3 + 4*p**2 + 5164. Let d(c) = 21550*c**3 + 7*c**2 + 10328. Let h(k) = -4*d(k) + 7*g(k). Differentiate h(i) with respect to i.\nAnswer: -32325*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 847507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -210, -1\/3, -1425.\nAnswer: -1425, -210, -4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -154 divided by 14?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10592 - 3142. List the prime factors of n.\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 0, -13, -52, -129, -256?\n\"Answer: -2*r**3 - r**2 + 4*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -1313*l**2\/2 + 63*l + 1520. Differentiate y(q) with respect to q.\nAnswer: -1313","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-2) + (-18)\/12. What is the second derivative of -2*f**3 + 0*f - 4*f - c*f**3 wrt f?\nAnswer: -30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 6*d**2 + 11*d - 46. List the prime factors of r(-10).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245*z**5 - 21175*z**4 - 1478730*z**3 + 647860*z**2 + 730360*z + 121440 = 0. What is z?\nAnswer: -46, -2\/7, 1, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1414694.03 to the nearest one thousand.\nAnswer: -1415000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of (-6 - (-14 + 0)\/(-7)) + 30695 - -6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1852742 (b) -4 (c) 4 (d) 0.1 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1550 + 34267. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 275 = -2*m - 2*a, m = -4*a + 154. Let q = 276 - 195. Suppose 0 = i - 2*z - q, -3*z - 98 - m = -3*i. List the prime factors of i.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frxyfjjq. Give prob of picking 1 y and 1 j.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4704 divided by 3\nAnswer: 1568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or 11?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 129*r + 534. Determine g(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 11 = -9, 0*b + 3*z = 2*b - 11 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(-77) + 16\/88)\/(26\/39).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t. Let h(j) = j - 1. Let z(s) = 3*s - 6. Suppose -10 = 2*f - 8. Let x(d) = f*z(d) + 6*h(d). Determine y(x(n)).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + c = 2330, 6*h + 2322 = 10*h - 3*c. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 + 3)*(2 + 0 - 3) + (-28 - 1 + 8)*(-3 + 4 - 3) + 2 + 3 - 4)*(0*l**5 + 3*l**5 - 2*l**5).\nAnswer: 41*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - r - 31, -7*r + 2 = -5*r + 14 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1015*i - 2534*i - 85997 = 376*i - 242997 for i.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1286 + -2235. Let h = o - -1618. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 25 = 0, c + 2*y - 334 = 240. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15967 or 111765\/7?\nAnswer: 111765\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + -5 + 21 + (4 - -15).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 15 (b) -19 (c) -4\/25 (d) 2\/21 (e) -0.2 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 232362805?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 190 (b) 0.048 (c) -65\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.51, 2, -2\/3, -3 in descending order.\nAnswer: 2, -0.51, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3496?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 11, 4, -1 in decreasing order.\nAnswer: 11, 4, 0.05, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(120)\/(sqrt(12)*1)) + -1.\nAnswer: -1 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4060*q**2. Let o(b) = 2*b. Calculate y(o(j)).\nAnswer: 16240*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 + 93. Let s = -34 + 48. Calculate the greatest common factor of s and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -13*f**6\/2 + 35*f**4\/4 + 938*f**2 + 3121. What is the second derivative of l(q) wrt q?\nAnswer: -780*q**3 + 210*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 7*b**2 - 7*b - 12. Let j be g(5). Let w(p) = -p**3 + 3*p**2 + 3*p + 2. Let s be w(3). Solve s = 2*t + j for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 31*r + 2. Let j(c) = -353*c - 23. Let z(i) = 92*g(i) + 8*j(i). Let f(x) = -77*x. Calculate f(z(n)).\nAnswer: -2156*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-14)\/(y\/(((y**(-3\/4)*y)\/y)\/y)))\/(y**(-10)\/(y**(4\/17)*y)) assuming y is positive.\nAnswer: y**(-375\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/2 and -55\/279.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5496, -3447, -1398, 651, 2700, 4749?\n\"Answer: 2049*d - 7545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 144835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/5 - (66\/(-55) + 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -5 + 2 + 20 + -5 + -5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 2. Let f be 60 + 54 + (-47104)\/414. Let u be (-4)\/3*(-2)\/(-28). Which is the third smallest value? (a) t (b) u (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1359, -2821, -4429, -6183, -8083, -10129?\n\"Answer: -73*y**2 - 1243*y - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p**2 + 3*p + 1. Is x(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1225.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/3)*b)**(-7\/11)\/((b**(-4)*b)\/b**(-2\/23))*b**(-2\/5)*b\/(b**(-5)*b)*b*b**(2\/11)\/((b**6*b)\/b) assuming b is positive.\nAnswer: b**(637\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*j**2 - 13*j**2 + 41*j**2 + 14*j**2 to r*j**2 + c + p*j and give r.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 11*y**2 + 4*y + 2. Let i be c(-2). Let s(v) = -15*v**2 - 24*v**2 + i*v**2. Let b(u) = 5*u**2. Give b(s(x)).\nAnswer: 5*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, h: 3, o: 2, y: 6, z: 2}. What is prob of sequence shzz?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h**5 + 34*h**4 - 145*h**3 - 6*h**2 - h - 2980 wrt h.\nAnswer: 180*h**2 + 816*h - 870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 680985474 a multiple of 1149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1358598 and 132.\nAnswer: 29889156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-9))**(11\/4)*m\/(m\/(m*m**(7\/6)*m*m))*m*m**(-1\/2) assuming m is positive.\nAnswer: m**(193\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6\/23, 9\/5.\nAnswer: 0, 6\/23, 9\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 + (-87654)\/(-15 - -8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20351682 divided by -3?\nAnswer: -6783894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 141754 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g**3 + 37*g**2 + 11*g - 3. Give d(-8).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4088 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/189 + (10 - 445\/45).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1696793, 1696792, 1696791, 1696790?\n\"Answer: -i + 1696794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2234183*c - 27501109?\nAnswer: -2234183","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 513\/57 - 6\/1. Let h(n) = -n + 10. What is h(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141802 to the power of 1\/2, to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1187*c**3 + 1962*c**2 - 18794046*c.\nAnswer: -7122*c + 3924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s - 12. Let n be g(-9). Let t be (1 - 0 - 2) + n. Solve 0 = t*z - 2 - 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -496*h - 246*h + 8904 = 0. Suppose a + o - 162 = 0, -a + 3*o = 2*a - 504. What is the remainder when a is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 16 = -7*o - 3*a, 4 = o - a. Suppose 5*d + o*n + 0*n - 33 = 0, 5*n = d + 5. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 1\/15117573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 n, and 1 f when four letters picked without replacement from pknnkpnnnpnppnffn?\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4*p**2 + 61399*p - 123887*p + 61991*p)*(-2 - 1 - 1).\nAnswer: -16*p**2 + 1988*p - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*a = 5. Suppose -22*b - 16*b = -6802. Let i(g) = -357 + 179 - g + b. Let k(m) = -m**2 - m. Determine a*k(f) - i(f).\nAnswer: -f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31351*h**2 + 15699*h**2 - 3*h**3 + 15652*h**2.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {b: 3, f: 3, z: 4, n: 1}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 4*s**2 - s - 4. Determine a(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27952035?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*j**3*l**3 + 1312*j**3*l**2 - 4405*j**3*l - 404*j**2*l**3 + 3*j**2 - 9733*l**2 wrt j?\nAnswer: 36*l**3 + 7872*l**2 - 26430*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 925207516 a multiple of 321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3112 - 476263?\nAnswer: -501375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 272239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8546880 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 9:04 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135, -262, -391, -528, -679, -850?\nAnswer: -1047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + 1 - 1)*(0*w**3 - 3*w**3 + 2*w**3) - 976*w**4 - w**3 - 8853*w + 8853*w to g*w + o*w**3 + m*w**4 + q*w**2 + t and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1182*c - 35485 - 7887 = -15593 + 20683 for c.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -50047 + -3683.122?\nAnswer: -53730.122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**5\/60 - 2*o**2 - 20*o. Let d(w) = 20*w**2. What is m(d(h))?\nAnswer: 400*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320 - 383 = 7*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**4 - 2*m**4 + 0*m**4)*(6 - 2 + 0).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o**3 + 3*o**2 - 3*o - 9. Let j(z) = -9*z**3 + 5*z**2 - 5*z - 18. Calculate -6*j(k) + 10*t(k).\nAnswer: 4*k**3 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34940179418102.000102 - 34940145410943. Let h = p + -34007083. Let r = h + -76. Round r to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83.1*0.5.\nAnswer: -41.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26040 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 4*y**5\/11 - 14*y**4\/11 - 38*y**3\/11 + 34*y**2\/11 + 34*y\/11 - 20\/11 = 0.\nAnswer: -2, -1, 1\/2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(88)\/sqrt(2))\/(sqrt(4) + (sqrt(64) - -4*sqrt(64))).\nAnswer: 2*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**4 + c**2 - 3*c. Suppose 10 = -2*f + 4. Let b(q) = -q**4 + 2*q**2 - 2*q. Let z(m) = f*b(m) + 2*x(m). What is the third derivative of z(s) wrt s?\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -109, -183, -283, -415?\nAnswer: -585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38134292?\nAnswer: 2, 7, 19, 43, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - u. Suppose u = -6*m + 2*m + 12. Let r = -0.3 - -0.2. What is the closest to r in -4, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -70, -139, -204, -271, -346, -435, -544?\n\"Answer: -d**3 + 8*d**2 - 86*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + 2*j**2 - 5*j**2)*(-4*j + 3*j + 0*j)*(-154 + 154 + 186*j)*(-1 - 3 + 2).\nAnswer: -744*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + -2)\/((-3)\/3). Suppose v + 12 = 4*v. Suppose 5*f + v*n - 999 = t, 2*n = 4*f - 2*f - 396. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - ((-20 - 21 - -13) + 34)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244769.\nAnswer: 7, 73, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -96 + 41. Let j = -36 - m. Let r = j + -19. What is the smallest value in r, -1\/6, -0.01?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 981846*j**2 - 1963742*j**2 - 4*j + 981877*j**2.\nAnswer: -19*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (0 - (-1 + -7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -190203993 divided by 3?\nAnswer: -63401331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -753\/2 + 101653\/270. Suppose x - 3*q = 17, -2*q - 33 = -5*x + 26. Suppose x*u - 12 = -u. Is a greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*k = -0*a + 14, 2*a - 5*k - 19 = 0. Calculate the remainder when (-1)\/a*24\/(-4) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from toozzoot. Give prob of sequence ozz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 24*v**2 - 11*v + 11. Let a(r) be the second derivative of 30*r - 1\/3*r**3 + 0 + r**2 + 5\/12*r**4. What is 11*a(o) - 2*n(o)?\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/34 and -69\/68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -6*w + 164. Is w\/((-114)\/9)*25372\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*g**4 + g**2 - 4*g**4 + 440*g + 9*g**4 + 0*g**4 + 1062*g**3 wrt g.\nAnswer: -48*g + 6372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*b*h*i**2*m - 3*b*h*i + 2*b*h*m**2 - 12*b*i**3*m**2 + 8*h*i**3 - i**3*m**2 + i**2*m**2 wrt i.\nAnswer: -72*b*m**2 + 48*h - 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-5 + 5)) + 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5509758, -5509760, -5509762, -5509764, -5509766, -5509768?\nAnswer: -5509770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1180.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/2 - (-2)\/4. Suppose -d = -2 + 4. Let m be 3\/(((-6)\/8)\/1). Sort v, m, d in descending order.\nAnswer: d, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 694 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 70805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6458, -6429, -6350, -6197, -5946, -5573, -5054?\n\"Answer: 4*q**3 + q**2 - 2*q - 6461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 12 = 8. Let t(r) = 11*r + 3. Let q(o) be the second derivative of -o**3 - o**2 - o. Let u(v) = a*q(v) + 3*t(v). Calculate u(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -41, -67, -101, -161, -265, -431, -677, -1021?\n\"Answer: -3*f**3 + 14*f**2 - 47*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 122*x. Let z(c) = -2*c**2. Determine z(v(y)).\nAnswer: -29768*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 527807856 to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -99, -5 in descending order.\nAnswer: 14, -5, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = 5*h - 5*j - 25, -5*h - 17 = -3*j. Let r be h\/(-10) + 23\/5. What is the second derivative of 2*f**5 - r*f + 3*f + 0*f**5 wrt f?\nAnswer: 40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + b**2 - b - 1. Let t(s) = -14*s**4 + 72*s**3 - 97*s**2 + 47*s - 13. Let q(f) = -2*t(f) + 10*y(f). Find i such that q(i) = 0.\nAnswer: 2\/7, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2279 is divided by 542?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (-2)\/12*-3. Let j = -158 - -159. Is h != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3598 + 39243921538.\nAnswer: 39243925136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8088*g*p*s**2 - 31*p*s**2 - p + 5*s**2 wrt g?\nAnswer: -8088*p*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 + 72. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -580697 (base 10) in base 11?\nAnswer: -367317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -6*u**2 - 71*u + 14. Let m be t(-12). Solve 3*q - q + 12 = -m*n, 5*q = 4*n + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 205470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 17 - 8 - 8) + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 8 = -4*h, 0*v + v - 3*h - 10 = 0. Suppose -2*x + 741 = 6*o - o, -v*o = -2*x + 714. What is the highest common factor of 33 and x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(8\/7)*p)\/(p*p\/(p*p*p**(-5))))\/((p*p\/(p*p*p\/(p\/(p*p**11))))\/p**(-1\/4)) assuming p is positive.\nAnswer: p**(277\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-4.16\nAnswer: -0.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15\/2 - 9\/2*p**2 + 3\/2*p**3 - 27\/2*p.\nAnswer: 3*(p - 5)*(p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/12 + (1\/(66\/935) - -1). Solve -5*a = -5*b - c, 65*a - 8 = 69*a for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-288)\/(-20) - (-4)\/(-10). Let y = -12 + w. Suppose v = -4*g + y*v + 43, v - 29 = -2*g. Is 12 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 131 + -136. What is the fourth biggest value in -4\/5, n, -4, -0.04?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/30*3*-6. Let j(s) be the first derivative of -6\/7*s**o + 6\/7*s**2 + 6 + 2\/7*s**4 - 2\/7*s. Factor j(t).\nAnswer: 2*(t - 1)**2*(4*t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (-536)\/18 - 0. Let o = 31 - n. Let a = 14.3 - 14.4. What is the smallest value in o, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135936071 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: Let x = -49 - 19. Let y = x + -101. Is (-26)\/y + 7239\/13 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1281280 rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12 - 15) + (15 - 1). Suppose -h - 2 = -3*o, -h = -2*h + 5*o. Put n, 5, h in decreasing order.\nAnswer: n, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222210 is divided by 761?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**2 - 5*t - 1449. Calculate the remainder when d(30) is divided by 113.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 13) to base 4\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(4)*4 + -3*sqrt(1029) + sqrt(1029))\/(sqrt(7) - ((-4*sqrt(70))\/sqrt(10) - sqrt(7)) - 1*(sqrt(7) + (-6*sqrt(7) - sqrt(7)))).\nAnswer: -5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 8:49 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 - 138 = -5*f - 5*a, 0 = -10*f + 4*a + 148. Let q be -2 - -4 - (0 - -7). Let v(s) = -3*s + 3. What is the smallest common multiple of f and v(q)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**2 + 775737*x = 0.\nAnswer: -258579, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(1\/4)\/l)**15\/((l*((l\/(l\/(((l\/l**(2\/5))\/l*l)\/l*l)))\/l)\/l)\/((l**(-5)\/l)\/l))*(l*l**(-13)*l\/(l*l*l\/(l\/l**8)))**(-1) assuming l is positive.\nAnswer: l**(663\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 100963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1561 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-1))**(-17)\/(a**0*a*a*a**(1\/6)\/a))\/((a*a**(-1\/4)\/a)\/(((a\/a**(1\/13))\/a)\/a)*(a**(-2\/3))**(-2\/53)) assuming a is positive.\nAnswer: a**(-297803\/8268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 513.4 to the nearest ten.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b. Let f(j) be the second derivative of 13*j**4\/12 + 36*j - 1. Give v(f(z)).\nAnswer: 39*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -370*l**2 - 8*l. Let g(a) = 3*a - 2370. Calculate g(m(x)).\nAnswer: -1110*x**2 - 24*x - 2370","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**4\/7 - 564*o**3\/7 - 19004*o**2\/7 - 138444*o\/7 + 601920\/7 = 0.\nAnswer: -95, -33, -16, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 8*b + 7. Suppose -5*n + 5 + 35 = 0. Let r be m(n). Let d = 181 - 104. Calculate the greatest common factor of d and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.292301 litres in millilitres?\nAnswer: 3292.301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2359*n**2 + 802*n**2 + 799*n**2 - 4 + 803*n**2.\nAnswer: 45*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63143, 126277, 189411?\nAnswer: 252545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/3929801 and -107\/16272.\nAnswer: 565891344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 157 - 155. Let i = 51 + -16. Suppose -3*g - 5 = -i. Solve -g = -0*l + r*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3)*(l**2 - l**2 + l**2)*(-674*l + 43192 - 43192).\nAnswer: -2022*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 4*l + 8, m + l = -2*l + 14. Let w(p) = -5*p + 2. Give w(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -p**4\/12 - p**3\/6 + 3*p. Let t = -329 - -328. Let u be -2*(t - -3) - 28\/(-4). What is w(u)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/34302 and 53\/502.\nAnswer: 8609802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12\/13 (b) -21 (c) 473 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**4 - 3636*j**3 - 204263*j**2 - 930540*j = 0. What is j?\nAnswer: -3579, -52, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1296 and 540.\nAnswer: 6480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 53 - (2\/2 - 1). Let w = z - 24. What are the prime factors of w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*c**4 + 32\/5*c - 14\/5*c**3 + 4*c**2 + 0.\nAnswer: -2*c*(c - 2)*(c + 1)*(c + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294335736?\nAnswer: 2, 3, 61, 201049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x - 6. What is the units digit of r(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + 0.7. Let q = -332\/2327 + -2\/179. What is the nearest to t in q, -4\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 11:23 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + 688*t**2 + t + 171 + 96.\nAnswer: 688*t**2 + 267","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97797 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -7.3087 greater than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-285*b - 55 + 144 + 284*b)*((4 - 4 - 2)*(-4 + 1 + 2) + 3 + 2 - 6).\nAnswer: -b + 89","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pe when two letters picked without replacement from pppcccpe.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18.822 + -19. Let m = -0.478 - y. Which is the closest to 1? (a) 5 (b) 5\/2 (c) m (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3259478 to the power of 1\/3, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(275)*-1 + (sqrt(11) - (sqrt(11) + (sqrt(44)\/sqrt(4) + -4 - sqrt(11))) - sqrt(55)\/(sqrt(5) + 2*sqrt(5))).\nAnswer: -16*sqrt(11)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -5.3. Let x be ((-144)\/(-30))\/((-3)\/60 + 0). Let c = 102 + x. What is the second smallest value in d, 0.2, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -21. Let j be -1 + v - 8\/(-16). Let o = -2.06 - -0.06. Which is the third biggest value? (a) 0 (b) j (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -0.4, -1, 324\/95 in ascending order.\nAnswer: -1, -0.4, -1\/5, 324\/95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/13? (a) 5 (b) 0 (c) -20 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -6*u**2 - 17*u - 27. Let t be p(-28). What is t rounded to the nearest 100?\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, -496, -1829, -4334, -8401, -14420?\nAnswer: -22781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 30*y + 1. Let m(r) = 31*r + 2. Let h be (-132)\/6 - -8 - -16. What is h*m(l) - 3*i(l)?\nAnswer: -28*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 117*v**4 - 53*v**4 - 49*v**4 - 4*v + (1 + 0 - 3)*(v**4 - v**2 + v**2) + v**2 - v**2 - v**4 to the form k + j*v**2 + l*v**4 + b*v**3 + c*v and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -6. Let g be r\/5*(-1 + 2). Which is the third smallest value? (a) g (b) 4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 7:38 PM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h**2 + 3*h - 6. Let d(v) = -v**2 + v - 2. Suppose 45*z - 48*z - 2*s = 14, 3*s = 2*z + 18. Calculate z*j(t) + 17*d(t).\nAnswer: t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 10:29 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 444 (base 5) to base 15.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 0*d - 102 = 0. Let k = -25 + 76. Calculate the highest common factor of d and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*h + 5. Calculate the least common multiple of h and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 405*w**2 - 405*w**2 + 3941*w**3.\nAnswer: 3941*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/136689 and 23\/3962.\nAnswer: 273378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -7, 2, -752?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45125 = -1327*w - 31459 + 4926 for w.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -302581.708198 + -7.344802. Let m = t - -302715. Let f = 126 - m. What is f rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of x**9\/2520 - x**5\/15 + 5*x**4\/12 - 9*x. Let j(n) be the third derivative of p(n). Differentiate j(c) wrt c.\nAnswer: 24*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 16102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 141\/156 + 24\/(-32). Put 0, 2\/61, u in descending order.\nAnswer: u, 2\/61, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 0*m**2 - m**2 + m + 5 - 3 - 2*m. Suppose -6*r + 4*r - 4 = 0. What is b(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 8*n**2 + 4. Is 4 a factor of u(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -16. Suppose -7*f**j + 4*f**3 + f**3 - f**2 + f = 0. Calculate f.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2615 is divided by 490.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**3 - 2\/7*m**2 - 4\/7*m**5 - 10\/7*m - 2\/7*m**4 + 4\/7 = 0.\nAnswer: -2, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 17*q**2 + 98*q - 1809. Determine k(-14).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**4 + 0*f**4 + 3*f**4)*(-f - 4*f + 4*f) + (-2*f + 2*f - 3*f**4)*(3 + 2 - 2*f - 7).\nAnswer: 4*f**5 + 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 105785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6817157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(208) + sqrt(208)*-2)**2*-6 - ((-4*(sqrt(117) - (sqrt(117) + sqrt(117)*-2)))\/((sqrt(1089) - sqrt(1089)*-1) + sqrt(1089)))**2.\nAnswer: -1386040\/1089 + 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 335502, 4 in decreasing order.\nAnswer: 335502, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 611030, 5, 3 in increasing order.\nAnswer: -6, 3, 5, 611030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 381185551 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 2:00 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**4 - 97011*u**3 - 302*u**2 + 311607*u + 98 wrt u?\nAnswer: -12*u**2 - 582066*u - 604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrr. What is prob of sequence rrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by (2 + -32)*(-2)\/5.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**3 + 169*r**2 + 114*r + 1658. Calculate v(-84).\nAnswer: -862","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xq when two letters picked without replacement from {x: 7, q: 3}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 7*m + 39. Let t be v(10). Suppose 0 = 24*q - t*q. Solve q = -a - 2*a + 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(54)\/sqrt(3) + sqrt(180)\/(1*sqrt(10) + sqrt(10)))\/(sqrt(225)*-4 - sqrt(9) - sqrt(9)*3*2).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 1180594831?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 916?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23242414 - -2?\nAnswer: -23242412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 16*g - 43. What is m(18)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) - sqrt(832)*2 - sqrt(52))\/((sqrt(4) - (sqrt(4) + sqrt(64)))*-3).\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t. Let c(p) = 59*p**2 + 3. Give c(l(q)).\nAnswer: 59*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l + 5*l - 5*l)*(2*l + 0*l - 4*l)*(0*l - 5*l - 3*l) as f*l + r*l**3 + u + d*l**2 and give r.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -229 + 397. Suppose f = 6*x + x. Let d = x - 20. What is the least common multiple of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 1947, -21, -16 in decreasing order.\nAnswer: 1947, 0.01, -16, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wp when two letters picked without replacement from tmpmw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 809835 is divided by 40487?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57.982 + 51895.2.\nAnswer: 51837.218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1706)\/45360 - (-477)\/16695 and -81\/140.\nAnswer: 22680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1141701998 to three dps.\nAnswer: -0.114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 403 - 61. What is the remainder when 512 is divided by n?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/4, 1006, -0.3, 1, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 303755496 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 56839 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19636094 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2 = -2*m, 5*f - 33 + 16 = -3*m. Is 19\/112 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-63)\/24 + 2)*-8. Put h, 4, -2, 6 in ascending order.\nAnswer: -2, 4, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14165008 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6991890 and 75588.\nAnswer: 13983780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47881271 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12234 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/20296 and 11\/6903.\nAnswer: 2374632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 3*i + 2 - 7 as t + v*i and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3037, 12193, 27469, 48877, 76429, 110137, 150013, 196069?\nAnswer: 248317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -192\/11 or -16?\nAnswer: -192\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 70561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.125 plus -395?\nAnswer: -395.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + (9 - 12) - 14) + 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2128 and 56?\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -5807 less than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 8 + 4. Let z(n) = -n**2 + 6 - 4*n**2 - 2*n**2 - 6*n. Let y(s) = 20*s**2 + 17*s - 17. Calculate f*y(x) + 17*z(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2 + 0 + 1 - 2. Suppose -5*o = 5*f - 27 + 7, 17 = 5*o + 4*f. Let p(r) = 2 + 2*r + 0 + 3 + 7 - 2*r**2. Calculate o*p(x) - 12*s(x).\nAnswer: -2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 p when four letters picked without replacement from pppppwppppwwppp?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41*(-6)\/(-22) + (-19)\/2926*-121*14?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4111, -8242, -12391, -16558, -20743, -24946?\nAnswer: -29167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 + 88*c - 269. Let m be a(3). Let p(y) = 0*y**3 - 13 + 9*y**3 - 10*y**3 + 12*y**2 + 14*y. What is p(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363087*k = -362509*k + 39304 for k.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 70*f. Let h(a) = 42*a**2. Calculate h(k(o)).\nAnswer: 205800*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + 1 - sqrt(2))*1)**2 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -2 + 380 + -426.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.8, 1\/2, -21\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/6 + ((-2)\/(-22))\/(9\/231).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63981*q**3*x**3 + 1564*q**3*x**2 - q*x**3 - 71724*q*x + 3*x**3 wrt q?\nAnswer: -383886*q*x**3 + 9384*q*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29949328, -29949318, -29949308, -29949298, -29949288, -29949278?\nAnswer: -29949268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**3\/2 + 48787*z**2\/2 + 4087524*z + 171527832 = 0.\nAnswer: -48619, -84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1379 + 50*v**2 - 284*v - 115*v**2 + 62*v**2 wrt v.\nAnswer: -6*v - 284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 10) + -10 + (8 - 4).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36.79 - 37. Let g = -0.19 + p. Which is the smallest value? (a) g (b) -3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -7 + (-4 - -7) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.38 and -0.1113.\nAnswer: -0.598794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*k + 12 = 49*k. Suppose -q = 4*x - 2469, -3*x - 71 = -k*q - 1909. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -69?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/4 - 22094*h**2 - 1952314189*h\/4 + 5858533443\/2.\nAnswer: -(h - 6)*(h + 44191)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126 - 122 + 248 + 15*q**2.\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -57465 and -517172\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 32*j - 88. Let c be i(3). Suppose -4834 = -c*x + 1982. List the prime factors of x.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 8*x - 89. Calculate the remainder when 135 is divided by o(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 44705, 44629, 44555, 44483, 44413, 44345, 44279?\n\"Answer: b**2 - 79*b + 44783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8779517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/7 (b) 4 (c) -45 (d) -190\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 + 14*c + 4. Let n be i(-7). Solve n*h = -4*w + 12, w - 6 = -2*h - 0*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 + 44. What is the tens digit of (-19)\/i*(-6 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 514*w + 491*w - 653*w + (3 - 1 + 1)*(1 - 2*w - 1) to k*w + s and give k.\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (27 - (2 + (8 - 0)))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3331.28m?\nAnswer: 3331280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000974995 to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -41*a**2 + 486. Let y(w) = 7*w. What is u(y(f))?\nAnswer: -2009*f**2 + 486","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + -1*sqrt(133))*-2)\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3 = 0, 0*w - 9 = -w - 4*n. Let b(g) = 2*g**2 + 2*g - 3. What is the smallest common multiple of b(-3) and w?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37d0d (base 15) to base 11.\nAnswer: 112077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - u = -8*r - 8, -4*r + 4*u - 20 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 7:46 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddsdsdsdddssd. What is prob of picking 2 d?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/9561 and -157\/462?\nAnswer: 1472394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2326 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6970.0000012513 + -6970. What is s rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9245263 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4050*(258\/9 + -2). Round w to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1248?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*s + 4*l + 2, 4*s = 5*l - 3. Let a be (-3 - -4) + s\/8*-12. Solve 5*y = -x + 14 - 0, -4*x = -a*y - 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**2\/5 - 29005034*w\/5 - 210322999335289\/5 = 0?\nAnswer: -14502517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 126*u - 92*u - 170. Solve -u*q - 16 = j, j - 14 = 4*q + 3*j for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, f: 6}. Give prob of picking 2 f.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**3 - 2*m**2 + m. Let q be r(-2). Suppose o + 1100 = q*o. Suppose -5*w + 755 = -5*b, 4*w - o = b + 378. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**3 + 52*a**2 - 18*a - 8. List the prime factors of f(-7).\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -20, -84, -188, -332, -516, -740?\n\"Answer: -20*b**2 - 4*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 20*y - 38. Let x be u(2). Let d = 0 + 5. Solve -d*c + x*c = 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**8\/2240 - c**6\/240 + c**4\/12 + c. Let b(r) be the third derivative of h(r). Find the second derivative of b(g) wrt g.\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 5 - (-2 - 26)*8. Let r be j\/6 + 2\/12. What are the prime factors of (-632)\/(-7) - (3 - r\/14)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (22\/(-12) - -2)\/(3\/18). Does 41 divide n + 138 + (-27)\/(-16 + 7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/7)*x)\/((x*x**6\/x)\/x))\/(x**(2\/7))**(-18)*(x**(-9)\/x**12)**35 assuming x is positive.\nAnswer: x**(-5135\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6 + 2*z**2 - 4*z - 3*z**2 - z. Suppose k + 5 = -1. Let a be p(k). Solve -3*d + 2*d = 5*y - 5, -2*y - 5*d + 2 = a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*n**2 + 2731*n**4 - 2169*n**4 - 5 + 0 + 190 - 3*n + 2*n**2 wrt n?\nAnswer: 6744*n**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-51))\/(53\/(-159)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -501, -621, -741, -861?\nAnswer: -981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -55, -4, -7, 120, 2 in decreasing order.\nAnswer: 120, 4, 2, -4, -7, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 3*y**3 - 3*y**2\/2 + 14*y + 7. Is o(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42*4\/168)\/((8\/100)\/(-2)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 16*s**2 + 28*s - 2. Let m(z) = 7*z**2 + 13*z - 1. Determine 6*c(g) - 13*m(g).\nAnswer: 5*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -40 + 150*n - 14 - 37*n - 6. Is 46 a factor of m(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28.908 + -29.078. What is the second biggest value in 3, w, -1, -0.08, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 11036 = -4*o. Suppose u - 4607 = o. Let p be u\/2*48\/(-9). What is p rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-49002*x**2 + 49003*x**2 - 8 - 38*x - 2)*((x - 2*x + 0*x)*(1 + 5 - 1) + 3*x - 2*x + x) to g*x**2 + c + o*x + t*x**3 and give g.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -20\/21 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 5132894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o + 6 - 5 - 4*o + 2*o**2. Let g be x(0). What is the units digit of (-89)\/(-1*1\/g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 - -44 - (-444)\/140 - -6*3\/42?\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -45*v**5 - 3225*v**4 - 5270*v**3 + 396940*v**2 - 518360*v + 171360 = 0.\nAnswer: -68, -14, 2\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7004)\/(-14) - 8\/(-308)*-11. What is the highest common divisor of 580 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 129, 27, -2\/7, 14.\nAnswer: -2\/7, 2, 14, 27, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 40*b + 38. Let q be 42\/18 + 1\/(-3). Let o(u) = 13*u + 13. Let n(l) = q*x(l) - 7*o(l). What is the first derivative of n(w) wrt w?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + p + 486. What is the greatest common factor of p and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -38*u - 62. What is the units digit of x(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -24. What is the second biggest value in d, 1\/3, -0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-249)\/(-27) - 9 - 0. Sort 9, 1\/2, -2, b.\nAnswer: -2, b, 1\/2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 5137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1547, -1560, -1587, -1634, -1707?\n\"Answer: -j**3 - j**2 - 3*j - 1542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 13, -1\/5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - m = 2*m + 104, 2*m = -2*i + 52. Let a = 33 - i. What is the second derivative of -4*z + a*z + 29*z**3 + z wrt z?\nAnswer: 174*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4795669 is divided by 8518.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - l. Let a(t) = -6*t**2 + 4*t. Let s be (-2)\/6 + 40\/(-15). Let k(h) = s*a(h) - 12*u(h). Let m(c) = c**2 - 9*c**2 + 9*c**2. Calculate m(k(d)).\nAnswer: 36*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 0*u**2 - 1\/6*u**3 + 0 - 1\/10*u**5 + 0*u**4 + 2*u. What is the second derivative of w(c) wrt c?\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 904, 905, 912, 931, 968, 1029, 1120?\n\"Answer: y**3 - 3*y**2 + 3*y + 903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*i + 11074 = -i, 5*r = -2*i + 11084. Is 51 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6446 = -4*a, -10*a - 16130 = -5*d - 5*a. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 + 10054*o - 190304.\nAnswer: -2*(o - 5008)*(o - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 2*b**3\/3 + 3. Let m(h) = h**3 + 8*h**2 - 10*h - 9. Let c be m(-9). Let n(k) = 0 - 3*k**2 + 0 + c*k**2. What is r(n(o))?\nAnswer: 18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1455 (b) 4 (c) -1 (d) -3 (e) 3 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16680*m**4*n**3 + n**3 + 159*n - 18 wrt m?\nAnswer: -66720*m**3*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 11:39 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*3\/140*5.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p - 22. Let y be c(12). Suppose 115 = 32*k - 9*k. Suppose k*n = 3*n + 4*l + 6, -n = -l - 3. Solve n*a + 2*o = -0*o + y, 5*o = 2*a - 33 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 810, -1\/9, 0.4, -3\/4.\nAnswer: -3\/4, -1\/9, 0.4, 810","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/43780 and -1\/30646.\nAnswer: 306460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c3a565 - 1?\nAnswer: -1c3a566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1806.\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1546*s - 1283*s + 1132*s - 4734*s - 5514*s.\nAnswer: -8853*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gabbagaaabababva. What is prob of picking 1 a, 1 v, and 1 b?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -30221 (base 4) in base 9?\nAnswer: -1088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/5 + 10572*u**2\/5 + 357136*u\/5.\nAnswer: 2*u*(u + 34)*(u + 5252)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 - 57. Let r = 9 - 15. Let f = n + r. Sort 4, -4, f in decreasing order.\nAnswer: 4, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11004666 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/2 - 410*h - 84050.\nAnswer: -(h + 410)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 8:46 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.422 minus -7564?\nAnswer: 7566.422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1164 and 98164?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + p + 2*p = 6, 3*p = -2*m + 3. Let g be (-22)\/44 - m*2\/(-4). Let l be 3*(g + (32 - 5)). What is the highest common divisor of l and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*x - 36. Calculate the greatest common factor of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.17 + 0.67. Let i(t) = t**3 + 4*t**2 + 4*t - 4. Let b be i(-2). What is the third biggest value in b, 3\/5, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 11*p - 1. Suppose 0 = 12*h - 24*h - 84. List the prime factors of n(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**3\/11 - 2626*t**2\/11 - 66952*t\/11 + 69576\/11 = 0 for t.\nAnswer: -26, 1, 1338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -22, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7\/9 + 4\/9. Let n = 0.2 - 0.2. Let w = 3 - n. What is the third biggest value in w, -2, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20082 (base 10) to base 6.\nAnswer: -232550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -307 + 617. Suppose 0 = 5*n - t - 90. Calculate the remainder when n is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 9 - -25 - 22.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 7*f**3 - 10*f**2 - 3*f + 1. Let l(w) = -9*w**2 + 1. Let u(z) = 3*z**3 + 9*z**2 - z - 1. Let a(y) = -3*l(y) - 2*u(y). What is 3*a(d) + 2*j(d)?\nAnswer: -4*d**3 + 7*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9283.7 - 9284. Which is the fifth smallest value? (a) 0.5 (b) 10 (c) q (d) 18 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100975 is divided by 55?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9aa + 4?\nAnswer: -9a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3666 and 10452.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5083838131\/1584540 + -1\/316908. Let k = d - -3196. Let y = -30663\/14 + 2189. What is the common denominator of y and k?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*24.2138\nAnswer: -193.7104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9741 + -5?\nAnswer: 9737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(343)*-2 - 4*-1*sqrt(343))**2.\nAnswer: -84*sqrt(7) + 1381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17282763205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -13. Suppose 5 = 2*m - s, -2*m - h = 3*s - 2*s. Suppose -4*r + 35 = 5*g - m*g, -2*g + 27 = -r. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1224142*-89\nAnswer: -108948638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 929 divided by -2\nAnswer: -929\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*t - 323*t**2 - 148*t + 81*t - 28*t**2.\nAnswer: -351*t**2 - 216*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*y + 41 + y**2 - 18*y + 10*y in the form f + w*y + r*y**2 and give f.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -210799, -210797, -210795, -210793, -210791, -210789?\nAnswer: -210787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 7:59 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -2*w**7\/105 + w**5\/5 + w**4\/3 + 22*w**2 + 3*w. Factor h(a).\nAnswer: -4*a*(a - 2)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/20 and 151\/126.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.391 times 72.521?\nAnswer: 28.355711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f**3 - 7*f**3 - 3*f**3)*(-2 + 0 + 0 - 2 + 1 - 1 - 2 - 3 + 6 + (-2 - 2 + 3)*(-4 - 3 + 6) - 1 + 4 - 4 - 1 + 0 + 0)*(-5 - 4 + 8).\nAnswer: -68*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4 = 3*q, 0 = 2*f + 5*q - 1124. Suppose 4*j = -2*z + 6*j + 520, -5*j + 513 = 2*z. Let w = f - z. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3592 - 11*w**2 - 3*w - 3592)*(3 - 3 + 2*w) + (-w + 3*w - w)*(-w**2 + 0*w**2 + 2*w**2) in the form k*w**3 + p*w + r + a*w**2 and give k.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1773)\/1576)\/((-9)\/2). Which is the closest to r? (a) -1\/20 (b) 33 (c) -1\/6 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 32*q**3 - 65*q**3 + 26*q**2 + 38*q + 34*q**3 + 19. Is f(-24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4 - 110\/(-28))*2)\/((-21)\/245). Factor -u**3 + 4\/3 - g*u**2 + 4\/3*u.\nAnswer: -(u - 1)*(u + 2)*(3*u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1*sqrt(24))\/sqrt(12))**2 + -4 - (((sqrt(72)\/sqrt(4))\/sqrt(9) + (sqrt(2) - (sqrt(2) - (sqrt(2) + sqrt(2)*-1 + 2 - sqrt(2)))))*-2)**2.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5353170*a**2 + 3883896 wrt a.\nAnswer: 10706340*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -967 = -7*d + 5*d - 5*h, -2470 = -5*d - 2*h. What is the least common multiple of 14 and d?\nAnswer: 3472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 150\/(-1125) - (-1742)\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931072000 a multiple of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 172166940 divided by 396?\nAnswer: 434765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -6*j - 27. Suppose 3*a + 2*a = 5*o - 150, -90 = -3*o - a. Let v be -2*(-6)\/(o\/(-55)). What are the prime factors of d(v)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 433*d - 5 + 14.\nAnswer: 433*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 5*c - 50, u - 3*c = 3*u + 33. Let r be ((-24)\/u)\/(8\/20). List the prime factors of 3 + (r - (4 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1130 + -1135. Let g = 2 + -2. Let s = -2 + g. Which is the closest to 2\/3? (a) s (b) 0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 651 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3532*c - 25*m = 3537*c - 2*m - 3, 0 = m + 4 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 3*f - 4. Let p be (4\/(-12))\/(1\/(-9)). Determine w(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-1 - 2734\/(-2738)). Let l be (-1)\/(-57)*a\/(-2). Let w = -9\/19 - l. Calculate the common denominator of w and -77\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5105, -10250, -15431, -20648, -25901, -31190?\nAnswer: -36515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2402209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 13\/5 of a millennium?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10230, 17332, 24406, 31446, 38446, 45400?\n\"Answer: -z**3 - 8*z**2 + 7133*z + 3106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/4*(-8 - -14)\/3. Let v = -0.5 + 0.5. Let x = 45.3 - 45. What is the nearest to -0.3 in x, v, q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 779755227 - 779755265.0000067. Let i = c + 38. Round i to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a meter in micrometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -516?\nAnswer: -516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -3*a + 72, -11*o - 3*a = -14*o + 102. Let p = 16 - 6. Calculate the remainder when o is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 6. Suppose -p = a*k, 0*p + 5*p - 14 = -k. Suppose -p*n - 13 = -46. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44798?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.03775 + -4.03775. Let r(f) be the third derivative of -f**5\/60 - 5*f**4\/12 + f**3 - 2*f**2. Let g be r(-11). Sort 4, g, a in ascending order.\nAnswer: g, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**3 - 5473*c**2 - 3403*c - 450769. Give f(1825).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, t: 1, j: 1}. Give prob of picking 1 j and 1 t.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 4:52 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1595164326 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28601?\nAnswer: 37, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/3546 and -29\/5339094.\nAnswer: 16017282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 378 + 356 - 1502 + 380 + z**2 + 372.\nAnswer: z**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + z**2 - 4)*(-1 - 2*z**2 + 1 + (-9*z - 11*z + 0*z)*(3*z - z + 0*z)).\nAnswer: -42*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6865*0.6224\nAnswer: 4272.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - x - 17 = 0, 5*q = 2*q - x - 11. Sort -9, q, 2 in descending order.\nAnswer: 2, q, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 6*l - 12. Calculate the smallest common multiple of 10 and l\/(-10) - (-174)\/15.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + 1064\/10 - -4. Let m = -113 + o. Which is greater: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1342 and 66?\nAnswer: 4026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 119 - 136. Let t(h) = -h**2 - 18*h - 18. Determine t(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 7:16 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + 18. Let c be (-322)\/(-21) + o\/(-9). Let j be 18\/(-4)*c\/(-24). Put 7, j, -2 in descending order.\nAnswer: 7, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7112442*j**2 + 14225020*j**2 - 7112582*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 5)*(-2*a - 3*a + 4*a) + (3*a - a - a)*(-4 + 6 - 3) + a - 2*a + 0*a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1254222006.\nAnswer: 2, 3, 151, 1384351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -249258*w**3 - w**2 - 10*w + 5. Let b be u(3). What is b rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-3360))\/(91\/(-780))\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is -12032152 (base 7) in base 13?\nAnswer: -2b476a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 242*f**2 + 18*f + 18. Let i be c(-1). Find the common denominator of (-4 - i\/33)\/(-47 + -1) and -67\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4581?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 8*d - 8. Let h(v) = -v**2 + 6*v + 10. Let m be h(7). Let i = -16 + 8. Let s(b) = 3*b - 3. Give i*s(g) + m*l(g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -958448.\nAnswer: -1\/239612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1987381439?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 563817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84 + -62.9. Let g = 206.1 - i. Let a = -184.9758 + g. What is a rounded to three dps?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 11 + -6 - (7 - 1) - 10?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 749*v + 450*v = 381*v + 5726 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 158 + -2 - (-1 + 4\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 8:39 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 399*h - 715*h = -352*h + 1476. Solve -42*s + 377 = h for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 10 - (0 + 0))*-1. Let b = 1 + -1. Solve -i = -2*n - b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/8 (b) 0.51 (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76 + -74. Let m(u) be the first derivative of 0*u - 1\/3*u**k - 5\/6*u**4 + 2 - 8\/9*u**3 - 4\/15*u**5. Determine f so that m(f) = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/(-168) - 64\/(-56). Is t less than -20\/571?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 14*z + 20. Let x be r(13). Solve 0 = -4*w - x - 9 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l - 2*v + 4 = 0, 2*v = 10. Let j be (-16)\/l - (-3)\/9. Let o = 3 - j. Solve 0 = 3*m, 3*n + o*m + m = 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 12*k**2 - 208*k. Let p(h) = -2661*h. Determine p(c(g)).\nAnswer: -31932*g**2 + 553488*g","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qbq when three letters picked without replacement from qbqqqbqbqqbqbbqqqqb?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 102b621 + -98?\nAnswer: 102b545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 555, 1053, 1551, 2049?\n\"Answer: 498*z + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and -0.0577?\nAnswer: 0.4423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 520 is divided by 63.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**6\/120 - r**5\/30 + r**3\/3 - 4*r**2. What is the lowest common multiple of m(2) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34092?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*r + 3 = -1, 5*w + 4 = -3*r. Let n be 9\/(-12)*w\/6. Which is the nearest to 1\/4? (a) -5 (b) n (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.3, 1871, -2, -1\/112?\nAnswer: -1\/112","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-6 + 2 + 3 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnblbbtuxttluxxlx. Give prob of picking 1 u and 2 l.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 15 - 15. Is v a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/((-6)\/(-168))*(-2)\/4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -123*l**4 + 291*l**3 + 171*l**2 + 21*l + 21. Let x(y) = -12*y**4 + 29*y**3 + 17*y**2 + 2*y + 2. Let d(a) = 2*n(a) - 21*x(a). What is r in d(r) = 0?\nAnswer: -1\/2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/2)*b*b\/(b**(-2\/63)*b))\/(b**(-19)\/b**(-2\/57)) assuming b is positive.\nAnswer: b**(49069\/2394)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2427 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 3294564032 to the power of 1\/2, to the nearest integer?\nAnswer: 57398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 146 + -1459\/10. Let u(y) be the second derivative of -2\/15*y**6 + 1\/21*y**7 + 0*y**4 + j*y**5 + 0*y**3 + 0*y**2 + 0 + y. Factor u(k).\nAnswer: 2*k**3*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24358, -24362, -24366, -24370?\nAnswer: -24374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.16 - 10.77. Let k = -2.22 - s. Let l = k + -1.39354. What is l rounded to four dps?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -2888, -11286, -25212, -44666, -69648, -100158?\nAnswer: -136196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15995 + 15999. Let g be 2\/(-5) - (-2)\/5. Suppose g = m + o*m. Solve m = 2*a - a - 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/21)\/((-11)\/66)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8633458759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4839 + 3*f - 10*f**2 + 4839 + (-4*f + 2*f + 6*f)*(0*f - 2*f + f) - 6*f - 2*f**2 + 6*f.\nAnswer: -16*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**5*s**2 - 29*g**2 + 12*g*s**2 - 1 wrt g.\nAnswer: 40*g**3*s**2 - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28 in -0.5, -1\/3, 1, -16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1255*w = 1647*w + 157118 + 83100 - 22568 for w.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1200 (base 4) to base 7\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -94113, -94088, -94063, -94038, -94013, -93988?\n\"Answer: 25*i - 94138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 75 - -2?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*p + 257 = -1115 for p.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Convert -3360 (base 7) to base 10.\nAnswer: -1218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 + 0 + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*k + 50*k = 404. Calculate the remainder when k is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 37 + -2 - (-16 - (-22 + 9))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*s + 0 = -17, 5*z + 10 = -4*s. Suppose 4*d + 2*c - z = -c, 3*d - 2*c = 10. Suppose -2 = -d*a + 4. Solve -15 = -a*r - 3 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*k + 4*z = -21, 0 = -2*k - z - 3. Let r be 11248\/(-26334) + 1*(-4)\/(-14). Let v = r - -535\/1683. Which is greater: k or v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/3*-6*30\/15?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 4:25 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 363*n - 9783. Determine l(27).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2667135447?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 28371 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**7\/3780 + p**6\/1080 - p**5\/90 + p**4\/8 - 3*p**2. Let m(a) be the second derivative of g(a). Factor m(x).\nAnswer: 2*(x - 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24386 - -24710. Calculate the remainder when a is divided by 178.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 701147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 3*h = -16, h - 2*h = -4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 103 and 7.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) -0.2 (b) 0.5 (c) 2\/7 (d) -136.34 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -8*n**3 + 19*n**2 + 6*n + 47. Let a(w) = 17*w**3 - 39*w**2 - 13*w - 93. Let x(d) = -6*a(d) - 13*f(d). Differentiate x(j) wrt j.\nAnswer: 6*j**2 - 26*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16 - 1218\/(-70))*(-200)\/(-18). Is 16 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8328 + -27?\nAnswer: -8352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 266953 = 4*g - 266959, 4*g + 4*v + 8 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 113668 and 33284?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11318302871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32100.\nAnswer: 2, 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 569057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77148 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 5\/4*i**4 + 0 + 25\/6*i**3 - 7*i**2 + 0*i + 1\/12*i**5. Factor t(u).\nAnswer: 5*(u + 1)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 331279056 by -23717.\nAnswer: -13968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (-2 + 1 - 50). Calculate the remainder when -1*45*20\/y is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 8*l - 2. Let q be b(-5). Let d = q - -31. Suppose -2*o - 2 = -10, x + o - d = 0. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((((-208)\/(-585))\/4)\/(8\/6)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -156368\/33 or -4738?\nAnswer: -4738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + s - 2. Let x be d(-2). Suppose 0 = -3*q - x*q + 585. Suppose 4*z - z = q. What is the remainder when z is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4405976*g*h + g*p - h*p - 14638*p + 1263 wrt g?\nAnswer: 4405976*h + p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*k - 3, -2*k = 4*n - 8. Suppose 0*j + 8 = j. Suppose 2*p = n*p + j. Which is the smallest value? (a) 0 (b) -1\/8 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 344*b + 29550. What is w(166)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 859063 is divided by 214762?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 1 = 4*b - 3*o, 3*b = 3*o - 3. Suppose -4*h - 4*p = -4, -h + 5*p = -b + 17. Let m be ((-5625)\/18)\/(h\/(-9408)). Round m to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f. Let j(n) = 1496*n**2 - 2388*n**2 + 1747*n**2. Determine d(j(a)).\nAnswer: -3420*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/((-50)\/24) + (-15)\/(-25). Suppose -13449 = -6*a + k*a + 4*r, -4478 = -a + 3*r. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 2*x - 40. Suppose -3*g + 13 = -2*a, 0 = 2*g - 16*a + 21*a - 34. What is the remainder when x is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = p - 4*k, -4*p + 7*k = 9*k - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3 = -5*n + 3*n, 2*n - 6 = 0. Suppose -u = -3*u + 4*m - 14, o*u = m + 4. Solve -2*t = u*t - 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -80 and -0.84.\nAnswer: 67.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -2413609 and -1.\nAnswer: -2413610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 24 = 3*b - 4, -5*b - 5*n - 10 = 0. Let u be -9*(-22)\/14 + 137\/(-959). Let j be 102\/u + (-35)\/(12 + -7). Sort b, 0, -0.03, j in ascending order.\nAnswer: b, -0.03, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6562328 by 248.\nAnswer: 26461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2727365.\nAnswer: 5, 545473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.75 - 3.75. What is the closest to 0.2 in -2\/3, m, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -669 < -663?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 527396 is divided by 183.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2*o**3 - o**3 - 4 + 6 - 4*o to the form m*o**2 + f*o**3 + x + i*o and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(1 - b - 1) + 3*b - b + 1 + 0.\nAnswer: 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 8. Let l = -1\/90 - 7\/18. What is the closest to 1 in l, 4\/9, y?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.6373692 centuries?\nAnswer: 0.06373692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.2 - -1. Let v = -18514 + 18513.9. Which is the second biggest value? (a) 1\/2 (b) p (c) v (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6453134?\nAnswer: 2, 1549, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*i**2 + 12 - 12)*(-3*i - 5 + 5)*(2 + 0 - 3) as b + x*i**3 + y*i + a*i**2 and give x.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**4 - 3*m**4 + 2*m**4)*(-49 + 126*m + 49 + 69*m).\nAnswer: -195*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 2*j**4 - 2*j**3\/3 - j**2 + 5*j + 1855. Let x(t) = 9*t**3 - 2*t**2 - 2*t + 6. Give 6*d(b) - 5*x(b).\nAnswer: 3*b**3 - 2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -30*i + 14*i. Let p be 51\/(-34) + (-99)\/i. Find d, given that 21*d**3 + 3\/5*d**5 + 0 - p*d**2 + 0*d - 33\/5*d**4 = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 times -1?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2195900 and 1400?\nAnswer: 4391800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4631 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 prob of sequence ss when two letters picked without replacement from {d: 3, s: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 72283539 divided by 2383\nAnswer: 30333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -13, -20, 426, 5, 3.\nAnswer: -20, -13, 1, 3, 5, 426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-4)\/(-6)*3))\/(23\/49082*11).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 1015?\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -4 - 4) + (-6 - -5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (56\/12)\/((-3)\/90). Let m = 27337\/2315 + -4\/463. What is the common denominator of y\/9*15\/40 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 82 - -11. Let u = 83.8 - f. Let b = -0.2 - u. Is b bigger than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/40*-14 - -2)*20. Suppose -5*s = v*b - 7*b, -3*s = -4*b. Solve 5*l + 23 + 2 = b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 26*c + 3 - 4 - 11*c + 28*c. Suppose 0 = -3*z - a - 3*a + 19, 5*z = a + 1. Let m be g(z). What is the highest common factor of m and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4dc2ed4 + 1?\nAnswer: 4dc2ed5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 3) + (12 - 1). Suppose 253 = 3*x - o. Calculate the greatest common divisor of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 1164*w + 1169*w - 70 = 3*y, 0 = 5*w - 20 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(12\/9*12\/112)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 w when four letters picked without replacement from {j: 2, l: 2, h: 1, w: 6}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*c**2 + 72*c**2 + 27*c**2 + 43*c**2.\nAnswer: -23*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.9135238 rounded to 2 dps?\nAnswer: 9.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmpcasmmmamstccmc. What is prob of sequence spsm?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -113612*k**2*z - 21*k*z - 229*k + z - 5 wrt k?\nAnswer: -227224*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 4*q = 26, -z + 938 - 956 = -3*q for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 18*s**2 + 528*s + 10983. Give a(-23).\nAnswer: 1484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - (-2 - 1)) + 52. Suppose -i = -5*j - 13. Suppose 4*b = j*b - 60. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2265 + 1824 = -147*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (13\/(-6))\/(((-5)\/2)\/(-5)) and -46\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(8)\/(sqrt(6)\/sqrt(3)) + sqrt(4))*-6 + 0.\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 2*l + 4 + 19, l + 11 = 5*y. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43 and 4316082?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*v + 3*p, 2*p + 22 = 5*v + 4*p. Solve t + v + 1 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16155785*j**3*l**2 + 78730*j**2 + 99*j*l**2 + 8 wrt j.\nAnswer: -96934710*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2448 by -6.\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -11*y**6\/30 + 34*y**3\/3 + 146*y**2 - 588*y. Differentiate g(h) wrt h.\nAnswer: -44*h**3 + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -40.923 + 1.983. Let u = w + 39. Which is smaller: 0.2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*11*(-12)\/(-198)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21\/449 - -19089\/4939. Let -164\/11*l**2 + b*l**5 + 16\/11 + 342\/11*l**3 - 24\/11*l - 212\/11*l**4 = 0. What is l?\nAnswer: -2\/7, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26000 divided by -1000.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w - 31. Let c be z(-10). Let l = c + -11. Is (-2)\/(-4) - (1 - (-663)\/l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-268)\/603)\/((-46)\/9)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1525246553 to the nearest integer?\nAnswer: 1151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z - 5. Let w be j(-7). Let l be -2 + -2 + 12\/2. What is c in -w*c - 3*c**2 - 3*c**l + 4*c**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7069 + 3900. Is b smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -1 + (-22)\/(-24))\/((-1828)\/71292)?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-32)*(-80)\/45*1\/(-2).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y**2 + 1 + 0*y**2 + 0*y**2 + 2*y**2 - 5 - 4*y. Give s(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 97\/235 or -1?\nAnswer: 97\/235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (322*m**2 + 18*m - 47*m + 29*m)*(5*m - 4*m + 5*m).\nAnswer: 1932*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 3 + 3)*(-1 - 1 - 2)*(36 + 15 - 20).\nAnswer: -248*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0241214 to four dps.\nAnswer: -0.0241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 7 + 38. Let t be ((-2)\/4)\/(d\/270). Let v = t + 69. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22*4\/((-8)\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -8\/9 (b) -35 (c) 0.056\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 340572, 681145, 1021722, 1362303?\nAnswer: 1702888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of x**7\/2520 + 7*x**6\/360 + x**5\/24 - 7*x**4\/12 - 4*x. Let d(l) be the third derivative of p(l). Is d(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*w = -1161 - 1779 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8655.169 millennia in years?\nAnswer: 8655169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 5*n**2 + 8*n - 3. What is h(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.361 - 0.039. Let g = q - -3.8. Let v = -5.4 + g. Which is the smallest value? (a) -0.1 (b) 1\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**2 + 34*p**2 - 19*p**2 + 18*p**2.\nAnswer: 29*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 + 55. Suppose -j - 60 = -7*x. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-480))\/((4\/3)\/(-2))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 61?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 36.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/10 (b) 6 (c) -401 (d) -72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/7 + 2514*q**2\/7 + 748458*q\/7 + 50422230\/7.\nAnswer: -2*(q - 1515)*(q + 129)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 4. Suppose -3*l - s*d = -26, 2*l = -3*l - d + 14. Let q be (-50 - 2)*l\/4. Which is smaller: q or -25?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2548509?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 1:04 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1326*a - 623*a + 454*a)*(-3*a - 2*a + 4*a) + a**2 - 4 + 4 to i*a + w*a**2 + d and give w.\nAnswer: 1496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**2 + 10*s**2 - 13*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 28*m - 20. What are the prime factors of w(-6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246*m - 122*m - 124*m + 26469*m**2.\nAnswer: 26469*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of j**7\/14 - j**4\/4 + 2*j + 5. Let c(g) be the first derivative of h(g). Find the third derivative of c(k) wrt k.\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -10. Suppose -o*v = -2*j - 372, -v = -2*j + 7*j - 216. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1024 or 1027?\nAnswer: 1024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 q when three letters picked without replacement from {k: 3, q: 13}.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21\/(-894)*(-2736)\/27531. Is d equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141258.82 rounded to the nearest ten?\nAnswer: -141260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -35.5 - 2\nAnswer: -37.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1.1, -0.4 in increasing order.\nAnswer: -5, -0.4, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffmfflaaafffmfqmm. What is prob of sequence lq?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8656436, 17312872, 25969308, 34625744, 43282180?\n\"Answer: 8656436*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3836.345 rounded to the nearest 10?\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 - 215*i - 182*i + 1137*i**3 + 397*i.\nAnswer: 1137*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11817 + -5577. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 12:03 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1282*d + 1281024 = 1330*d. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000780900251 to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = a - 39. Suppose 0 = -z - 3*z + a. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2927\/120 - 291\/10. Find the common denominator of u and 53\/(-33) - 6\/(-9).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 64*r**2 + 127*r + 328. Let w be z(66). What is the closest to 0.18 in 1.6, w, -4?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10680 and 192.\nAnswer: 85440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2189)\/154 - -14)*(-21)\/(-45)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480 a factor of 1923132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 - -5.7. Let z = 5.18 - j. Let q = 0.17999964 - z. Round q to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*o**2 + 5149*o - 56 + 34*o**2 - 5151*o - 63*o**2.\nAnswer: -2*o**2 - 2*o - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**6\/120 + k**5\/10 - k**4\/24 + k**3\/2 + 36*k**2. Give g(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-3)*10\/(-150)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12850306\/435 - 3\/(-45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 3*j**2 + 3*j. Determine z(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1483.\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-187)\/(-1))\/(-17)*-1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 0) + 5\/5. Let g(d) = 3 - d**3 - 4 - 2*d + d - 6*d**l. Give g(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -20*d**2 + 8*d - 24. Let a(x) = 17*x**2 - 7*x + 23. Let j(i) = 7*a(i) + 6*b(i). Give j(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.15524982 rounded to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 35 = -4*p, 2*b + 5 + 30 = 5*p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 111 and 48147.\nAnswer: 1781439","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 4*v + 416, 5*v = 4 + 1. Let f = p - -284. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 675 and 3.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/4)*s)**(-3\/2))**(-13\/2) assuming s is positive.\nAnswer: s**(117\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, t: 6, w: 3}. What is prob of picking 2 t?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25189 - 12593 - 4*f - 12596.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -90*u + 87*u**2 + 12*u**4 + 20*u - 87*u**2 wrt u.\nAnswer: 144*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1257 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 74 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/125958 and 71\/117.\nAnswer: 4912362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -201 + (-6)\/(-2) + -2. Let b = -3997\/20 - k. Let l = 3269 - 3269. Is l <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 10439 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4) - ((-19649)\/(-98) + -169).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50411.24 millimeters in centimeters?\nAnswer: 5041.124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w**3\/7 - 146*w**2\/7 - 919*w\/7 + 152 = 0. What is w?\nAnswer: -7, 1, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7026 + 2?\nAnswer: -7024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -2, 5*j - 5 = -v + 4*j. Solve -v*c - 12 = -c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llww when four letters picked without replacement from kwkllkllkwwgll.\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -268342 times 662\nAnswer: -177642404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.4, 1\/2, -3.8, -1325, -2\/19, 0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 9:53 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1354510 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/20*(7 - 1)*(-2)\/(-6)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 1. Suppose 3*f + 7 = -2*h, -5*f + 2*h = -2*h - 25. Let z be o(f). Suppose z = -3*g + 12, -g - 46 - 10 = -5*p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1160.1, 5, 1\/11, 29, -2\/19 in increasing order.\nAnswer: -2\/19, 1\/11, 5, 29, 1160.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102282489?\nAnswer: 3, 17, 668513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 63046 - 17951. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -u**7\/84 + 2*u**6\/45 - 7*u**5\/120 + u**4\/36 - 10*u. Factor j(b).\nAnswer: -b**2*(b - 1)**2*(3*b - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + v + 22 = 0, 0 = -108*b + 110*b + 3*v - 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -254.3 - -256.3. Put -0.9, -56, b in descending order.\nAnswer: b, -0.9, -56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7856658881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19115493?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 + 238. Let m = -272 + l. Which is the biggest value? (a) -7 (b) 0.1 (c) m (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*(sqrt(2299) + sqrt(2299) + -2*sqrt(2299)) - (1 + sqrt(2299)*2 + sqrt(2299)))**2.\nAnswer: 132*sqrt(19) + 41384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a + 5*a - 18*a)*((2 + 3 - 2)*(0 - 2 - 1) + 19 - 36 - 40).\nAnswer: 1254*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, i: 2, q: 1, z: 6}. Give prob of picking 1 m and 1 i.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81.3 + -81. What is the nearest to f in 0.4, -5, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -16, 4, -2, -4, 5, 134 in decreasing order.\nAnswer: 134, 5, 4, -2, -4, -16, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4922 rounded to three decimal places?\nAnswer: 0.492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25105724 - 25105763 + 2*u + 50211487.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-1 + sqrt(125) + 4 - sqrt(125) - sqrt(125)) + sqrt(125))**2 - (6*-5*(-2 + sqrt(125)))**2.\nAnswer: -116086 + 18000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 6 + -3 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 3*(-93)\/(-9). Suppose u + 34 = 5*i + 4*v, -4*v + 28 = 2*i. Calculate the highest common divisor of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*v + 30952 = 31610 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 288817 + -3180135\/11. Let c = -286 - i. Is c at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*d - 17964, -4*t + 455 = 2*d - 71461. Calculate the highest common divisor of t and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 1, -2\/133?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2748.77659 rounded to one dp?\nAnswer: 2748.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -348 - -360. Suppose 140*r - 138*r = -u. Let j(i) = -4*i - 22. What is j(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5981 divided by -69.\nAnswer: -5981\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1781134 or 4\/153?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + sqrt(343)*-2 + sqrt(343) + -3 - -6*-2*sqrt(343))**2.\nAnswer: 504*sqrt(7) + 49401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 2\/7, -2863, 17?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3004 - -3083. Let g = 7 - -9. Let q = s - g. Do 1 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-20)*((-1989)\/(-234))\/((-3)\/6)?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 311 - 307. What is the remainder when 14 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 21*u + 4665 = 2283 + 2325, -5*u = -o - 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -361*v**2 - 594*v**2 - 400*v**2 + 1151*v**2 - 396*v**2.\nAnswer: -600*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 4*q + 1. What is t(-3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) + sqrt(500)*-1)\/sqrt(4))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(209) + sqrt(209)*-5 + sqrt(209)))\/(sqrt(99)\/(sqrt(324) - sqrt(9))).\nAnswer: -15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 318906 and 1386?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25228119 and 6783?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*y - 129*y = -288. What is the remainder when 237 is divided by y?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2299 + -2288.47. Let k = 11.3 - t. Let w = -0.770122 + k. What is w rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -39072818?\nAnswer: -2\/19536409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -55600 * -0.12.\nAnswer: 6672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-39609)\/(-2119) + (-8)\/(-26))*-2\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 4*a - 3. Let p be c(4). Let t be (90\/(-15))\/(p\/2). Find the third derivative of o**2 - 4*o**2 + 8*o**t + o**2 wrt o.\nAnswer: 192*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549263497 to the power of 1\/2, to the nearest integer?\nAnswer: 23436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*a**2 - 11*a**2 + 24*a**2 + a - a + 2*a**2 + (3*a - a**2 - 3*a)*(4 + 1 - 4).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -123 in -3, -14, -4, 0, -63.4?\nAnswer: -63.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -17*6\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n**3 + 6*n**3 - 2*n**3)*(-4 - 1 + 3) - 820*n**3 + 130 + 4*n**2 + 462*n**3 + 359*n**3 to d*n + z + i*n**3 + y*n**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1022 + 0?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 106*c + 229. Let y be i(-13). Let m = y - -1724. List the prime factors of m.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4133353 (base 8) in base 14?\nAnswer: 2072b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 250\/1287 - -4\/143. Let w(i) be the second derivative of 0 + 4*i - s*i**3 + 0*i**4 + 7\/60*i**5 - 1\/30*i**6 + 0*i**2. Find h, given that w(h) = 0.\nAnswer: -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3*a + 21, 5*v - 2*v + 19 = -a. Let i = 11 + v. Suppose -i*u + 4*f + 13 + 4 = 0, -14 = -2*u - 2*f. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 12 + (2 - 3) + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v - 2*v + 2*v + (0*v - 2*v + v)*(-3 + 2 - 1) - 3*v - 4 + 4 + 89*v - 326*v - 78*v - 7*v + v - v.\nAnswer: -324*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102, -335, -724, -1269, -1970, -2827, -3840?\nAnswer: -5009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2374 + -1.7664. What is o rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20267000 rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -b4842 (base 15) to base 14\nAnswer: -10c781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 361 and 68951.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t. Let x(q) = 36*q. Let h(m) = -12*m. Let j(g) = -17*h(g) - 6*x(g). Determine j(u(z)).\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1010321302 (base 4) to base 15\nAnswer: -58951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ahahahhaaa. What is prob of picking 3 a and 1 h?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (55\/2*(73 + (-62823)\/860))\/(59\/(-20)) and 0 - ((-46)\/14 - 1)?\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (352 + 435 - 962)*(4*v**3 - 4*v**3 - 2*v**4).\nAnswer: 350*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43214122 + 2422?\nAnswer: 43222044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5 = 2*c - 0, 5*o - c - 10 = 0. Let f(t) = -t. Let p be f(-2). Suppose -p - 10 = -3*m. Is o <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-102)\/12 - 2\/4. Let h = s - -22. Let m = h - 9. Sort -1\/3, m, 1\/2 in descending order.\nAnswer: m, 1\/2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -35*j - 16. Let y(t) = 52*t. Let c(m) = -726*m. Let k(v) = -2*c(v) - 28*y(v). What is k(n(s))?\nAnswer: 140*s + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -345, -691, -1037, -1383?\n\"Answer: -346*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - 0. Let o = -31 + 31. Let q = 2 - 2. Which is the nearest to o? (a) q (b) t (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15364246, 30728490, 46092724, 61456942, 76821138, 92185306, 107549440, 122913534?\nAnswer: 138277582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hta when three letters picked without replacement from httakkfy.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 25 = -7*x. Suppose x*f = 5*m - 55, -f - 57 = -5*m + 2*f. What is the second derivative of -22*c**2 + 10*c**2 - 11*c**5 + m*c**2 - 3*c wrt c?\nAnswer: -220*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*b + 3*b - 4*p, 0 = 2*p + 4. Let h be -2*(-1)\/b + -61. Let n = h + 117. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - 2\/(5 - 3). Let f be 7\/14*(-25)\/j. Let o = f + -7. What is the second biggest value in 0.4, o, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -t**2 + 2*t + 1. Let g = 5 + -3. Give m(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*f**2 + 6252 - 6252.\nAnswer: -179*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35593, 128266, 282711, 498922, 776893?\nAnswer: 1116618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -82 + 92. Let d be b + (-1 - 3) - -5. Suppose 5*t = 4*c - 15, -4*t - d - 10 = -5*c. Solve -w - 6 = 2*r, -c*w = -5*r - 0*r - 45 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 8*h**2 - 7*h. Determine b(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 244 in 1292.2, 0.2, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 5. Let f(b) = 5*b**3 - 2*b**2 - 5*b + 3. Let j(r) be the first derivative of -3*r**4\/2 + r**3 + 3*r**2 - 4*r - 1859. Determine z*j(c) - 4*f(c).\nAnswer: -2*c**3 - c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 2\/(-7)) + (-284)\/14. Let u = 36 + b. Let y be u\/24*(0 + 177). Round y to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5 = 0, p - 3*p + 5 = -5*m. Suppose -3*b + y + 3677 = p, -5*b + 9207 = -3*y + 3072. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.047519 millennia in years?\nAnswer: 7047.519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -76*p**3 + 21642*p**2 - 161090*p wrt p.\nAnswer: -456*p + 43284","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/110 and -32\/77?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a20 (base 16) in base 10?\nAnswer: 6688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/19548 and 23\/387?\nAnswer: 840564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 7*x + 8*n + 200, 11*x - 5*n - 345 = 19*x for x.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*z + 3*b, 12 = 3*z + 2*z - 3*b. Let c = -9 + 5. Is -7*(c - -1) + z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 - 30648*p**2 - 122640*p.\nAnswer: 3*p*(p - 10220)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14652 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 2:45 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*o**3 - 3*o**3 - o**3 + (-o - 2 + 2)*(-4*o**2 + 3*o**2 + 2*o**2) in the form i + w*o**2 + s*o + k*o**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12856.22601 - 12856. Let h = 0.225 - o. What is h rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5666 + -5317. Calculate the remainder when q is divided by 158.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51.5 - -2.5. Let z = 41.7 + 4.3. Let k = z + i. Which is bigger: 5 or k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1537 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*w + 4*v, w - 6 = 3*v + 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5432289.00094 + 5432359. Let i = a - 70. What is i rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f**3 - 12*f**2 - 2*f + 13. Let r(v) = 9*v**3 - 23*v**2 - 5*v + 24. Give -11*o(q) + 6*r(q).\nAnswer: -q**3 - 6*q**2 - 8*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27\/5243426 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**5\/20 - 37*q**4\/12 - 37*q**3\/6 + 7*q**2 + 61*q - 2. Let x be f(38). Calculate the greatest common factor of x and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7035, 6948, 6861, 6774?\nAnswer: 6687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbkbhckbkbkvcbc. Give prob of sequence hk.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 m, and 1 i when three letters picked without replacement from {x: 3, e: 4, m: 1, i: 4, u: 1}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2407\/110 - -167\/11. Find the common denominator of -65\/238 and a.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 11*f**2 + 25*f - 19. Suppose 0*t - 117 = -t - 12*t. What is j(t)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 250*z + 1. Suppose 14 = 2*w - 3*t, -5*w + 17 = -2*t - t. Is c(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 795 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 8:26 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4\/(y**(-3\/5)\/y))**(3\/8) assuming y is positive.\nAnswer: y**(21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.021? (a) -0.07 (b) -0.4 (c) 3 (d) -2\/21 (e) -3987\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*u - 5*u - 17316. Calculate the common denominator of 37\/8 and u\/260 - (2 - 1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**4\/15 + 36*h**3\/5 - 7834*h**2\/5 + 890368*h\/15 - 3329408\/5 = 0.\nAnswer: -152, 24, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -141*j - 42. Determine b(0).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f + 4. Let k(l) be the first derivative of l**2 + 3*l + 1. Let u be 1\/(-4 - -5) - 1. Let q be 2 + -4 + 5 - u. Determine q*k(h) - 2*j(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -8, 4, -11\/2, 2.857?\nAnswer: 2.857","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2828, 3715, 5192, 7259?\n\"Answer: 295*g**2 + 2*g + 2531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/6 - 621*h\/2 - 1219625\/3.\nAnswer: (h - 2750)*(h + 887)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 1065.2.\nAnswer: -213.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*b = 641, 3*s + 227 = -3*b + 2165. What is the tens digit of 395299\/s + (-2)\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72796 - 36408 - 6*x**3 - 36383.\nAnswer: -6*x**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - x - 10)*(33*x - 135*x - 499*x - 130*x).\nAnswer: 731*x**2 + 2924*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 + 53 = 148*f - 196. Solve -2*g + 3*v + 3 + f = 0, 8 = 4*g + 5*v for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -64430 to the nearest one thousand.\nAnswer: -64000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + -0.4. Let t = 0.4 - 0.29. Let k = 0.29 + t. Which is the closest to u? (a) 1 (b) 0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q**4 - 16542363*q**3 + 71370*q**2 - 50.\nAnswer: -48*q - 99254178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4*4.135\nAnswer: -16.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (3 + 3 + -5 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -7*g**4\/24 - g**3\/3 - 15*g**2 - 56. Let a(x) be the second derivative of f(x). Determine a(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*r + 6 = 15, 2*j - 4*r - 6 = 0. Let m be (-18)\/(-2 + (-2)\/(-4)). Determine u, given that -4*u**j - 7*u**2 + 19*u**2 - m*u - 1 + 5 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*y + 2. Suppose -y*d + 64 = -0*d + 4*h, d - 62 = 4*h. List the prime factors of d.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -1\/30*o**5 + 0*o**6 + 3*o**2 + 0 + 0*o**4 + 0*o**3 + 0*o - 1\/210*o**7. Find the third derivative of g(l) wrt l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3211*b + 970*b - 1350*b = -1536*b - 65505 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2. Let t(a) = a**3 - 9*a**2 + 9*a - 3. Let o be t(8). Let f(n) = n**2 + o*n - 5*n. Calculate f(q(r)).\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1222*30704.\nAnswer: 3752.0288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 875 - 874.99995975. Round b to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 1. Let w(r) = -r + 4. Let g(d) = 3*d - 11. Let i(y) = 4*g(y) + 11*w(y). Let h(f) = 5*i(f) + 6*l(f). What is h(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by -66694?\nAnswer: -13\/66694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05 + 3.95. Let m = r + -4.4. Let c = 2 + -1. What is the nearest to c in m, -2\/19, -5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 46, 89, 112, 103, 50?\n\"Answer: -2*q**3 + 2*q**2 + 51*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/3)\/j**(-2))\/((j\/(j\/j**(-1\/2)))\/j*j)**(12\/7) assuming j is positive.\nAnswer: j**(74\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 13\/28*k**8 + 0*k**3 + 0*k**6 - 25\/12*k**4 + 0*k**7 + 0*k**5 + 0*k**2 + 0 + 4*k. What is the third derivative of x(z) wrt z?\nAnswer: 3120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((-13)\/(-12) + -1). Let k be 14\/10 + g\/20. What is the third derivative of 7*l**6 + 3*l**2 + 4*l**2 + k*l**2 wrt l?\nAnswer: 840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, v: 1, y: 6, o: 9}. Give prob of picking 2 v and 1 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279*u**2 + 10 - 10.\nAnswer: 279*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -1 - 2*f**3 - 4*f**2 - 4*f + 2*f + 3. Let n be ((9\/(-5))\/(-3))\/((-12)\/40). Calculate t(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -3*p + 5 + 4, 0 = g - 2*p + 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -4) + 1 + -7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 28*q**2 + 50*q + 4. Let j be i(-2). Let l be 1\/(44\/20 + -2). Solve -7*r - d - j = -2*r, 0 = -l*d + 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18750 + 0.1?\nAnswer: -18749.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - 28 - (-3 + -24) - 25?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3 = 2*c, -5*g + 0*c + 73 = 12*c. Solve -u = -1, -g*a + 11 = -11*u + 12*u for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -6*g**2 - 6*g + 5. Let p(j) = 2*j**2 + 2*j - 2. Let s(r) = -8*p(r) - 3*x(r). Suppose -o + 6 = -3*o. What are the prime factors of s(o)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54014877923 + 0.065?\nAnswer: 54014877923.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 0 + 5)*(-4 + 2 + 6*n - 3*n) + 3*n - 4*n + 0*n in the form r + v*n and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 o, 1 j, and 1 r when four letters picked without replacement from {m: 1, j: 4, r: 3, o: 1, k: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5*x = -138 - 80, -4*x + 60 = m. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 9:41 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 125955 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: Factor 985*x + 125*x**2 - 5*x**3 + 580 - 1630*x + 1205*x.\nAnswer: -5*(x - 29)*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001000268 to seven dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -762*c**2 + 3*c. Let y(m) = -61*m. Let s(j) = -7*j. Let q(u) = -9*s(u) + y(u). Calculate v(q(r)).\nAnswer: -3048*r**2 + 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 5 (b) 1\/2 (c) -70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22024 and 1000.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in 5.92, -0.1, 1, 5, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (110 - 3*v + 14*v - 10*v)*(7*v**3 - 5*v**3 + 3*v**3)*(-3 + 2 + 2).\nAnswer: 5*v**4 + 550*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/3))**(-49)\/(m*m**(-2\/7)\/m*m*m*m)**7)\/((m\/(m\/((((m**(-2\/5)\/m)\/m)\/m)\/m*m)))**(-2\/3)*(m\/(m**0\/m))**(-1\/54)) assuming m is positive.\nAnswer: m**(-5071\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 11. Let q(j) = j**2 - 10 + 0*j**2 + j**3 - 4*j**2 - 6*j**i + 10*j. Calculate the least common multiple of 6 and q(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**4\/24 + 6*c**2. Let z be (-10)\/(-4)*6\/5. Determine f(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(121)*-1 + sqrt(121)) + -1*sqrt(121)*1)\/(sqrt(132)\/sqrt(3) - (sqrt(33)*-1)\/sqrt(3)).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1227 - -1228. What is the closest to k in 24, -0.4, 0.1, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115\/(-2)*(-929 - 5)\/(55\/22)?\nAnswer: 2, 23, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 7:29 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1241217?\nAnswer: 3, 45971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14 - 85\/(-5))*12\/27. Factor -q*y**3 + 0 - 4\/3*y**2 + 8\/3*y.\nAnswer: -4*y*(y - 1)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -0.3 (b) -0.4 (c) 10 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000152154 to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -25*f**7\/42 + f**3\/3 + 57*f**2\/2 - 5*f + 5. Find the second derivative of w(o) wrt o.\nAnswer: -500*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**5 - 21*q**4 + 618*q**3 - 1506*q**2 - 4935*q - 2793 = 0 for q.\nAnswer: -19, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010012 (base 3) in base 8?\nAnswer: 1457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 11*m + 4. Let a = -376 - -369. Determine t(a).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -833605, -1667483, -2501361, -3335239, -4169117, -5002995?\n\"Answer: -833878*t + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + b + 4. Let x be n(0). Let t = 71 + -69. Let w(m) = m**3 - 9*m**2 + 8*m + 8. Let j be w(8). Sort x, j, t in ascending order.\nAnswer: t, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -623562*k**4 - 62816*k + 14 wrt k?\nAnswer: -7482744*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or -1\/36?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 14. Let r be p(18). Factor -5*u**3 - 3*u**3 + 2*u**3 + 8*u**2 - 2*u**r.\nAnswer: -2*u**2*(u - 1)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001110 - 110111000000?\nAnswer: -110001110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3753681863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1953582 <= -1953581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2273, 2182, 2095, 2012, 1933, 1858, 1787?\nAnswer: 1720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -75, -11, -24120 in decreasing order.\nAnswer: -11, -75, -24120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 w when two letters picked without replacement from uuuuluulunuwnu.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fftt. Give prob of picking 2 t.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 951\/2 (b) -5 (c) -2 (d) -2\/17 (e) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - (-4 - 11 - -31) - (2 + -11)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 13*x**2 - 9*x + 7. Suppose -3*y = f - y - 34, -y = 2*f - 62. Calculate the remainder when j(7) is divided by f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - d - 0 + 10, 37 = 4*p + 3*d. What is the remainder when 20 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n - 56. Let f be o(10). Suppose -10 = -p + 4*d - 6*d, 2*p - 12 = f*d. Calculate the highest common factor of p and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 5*y**2 + 6*y + 4. Let a be f(-6). Suppose b + a*b - 25 = 0. Let i be 2\/((3\/1)\/3). Solve -3 - b = -i*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 9*w = 10*w + 9, y - 18 = -5*w for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/8, -2\/5, 4\/3, -4\/21, -5951?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 329*d**2 - 18*d**3 + 9*d**3 - 625*d**2 + 14*d**3 - 554*d**2 - 10*d**5 wrt d.\nAnswer: -600*d**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 0.5.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(891) - (3 + sqrt(891)*1)**2) + (sqrt(891) + sqrt(891) + 1 + 2 - sqrt(891) - (-1*(-1 + sqrt(891)))**2).\nAnswer: 207*sqrt(11) + 2711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 54?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of h*k**2*q**2 + 1677*h*k**2*q + 21*h*q - 9*k**2*q**2 + 20*k*q + 221*k wrt h?\nAnswer: k**2*q**2 + 1677*k**2*q + 21*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 - 0)*(-4)\/(-10). Find the second derivative of -5*n + n - n**2 - 3*n**w wrt n.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 27120764 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 132 + -77. List the prime factors of o.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11711 is divided by 215?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 154.2637 - 3.97863.\nAnswer: 150.28507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from uuhhhuhhjuu?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*2*(sqrt(432) - (sqrt(432) + sqrt(432) + (sqrt(432) - -6*(sqrt(432) - (-2*sqrt(432) - sqrt(432)) - sqrt(432))) + sqrt(432)))\/(2*sqrt(96)*1).\nAnswer: 189*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.67 and 1851?\nAnswer: 1240.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/5 + 7*x**3\/5 - x**2\/5 - 27*x\/5 - 18\/5.\nAnswer: -(x - 6)*(x - 3)*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r + 12. Let h be d(-5). Suppose -2*p = p - 2*l - h, -5*p + 54 = l. Calculate the highest common factor of p and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -i**3\/3 - 2*i**2 + 6*i - 9. Let l be k(-4). Calculate the greatest common factor of l and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -42774*r + 2309776. Give a(54).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2*v**2)*(-3 + 36 + 17 + (1 + 1 - 5)*(-3 + 5 - 1))*(-3 - 3*v + 3) to y + f*v + o*v**3 + g*v**2 and give o.\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 1\/12*m**4 - 48 + 2*m**2 + 10\/9*m**3 - 24*m. Suppose n(b) = 0. What is b?\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51*5\/(-60) - 12\/(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bcc8 + d38?\nAnswer: -ad90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(4\/(-16)*-2). Suppose -z*b - 4 = -11*b. Solve 0 = -b*j + 9*j - 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44295 divided by -5?\nAnswer: 8859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -1638*u + 1636*u + 15, 5*b + 3*u = 61 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 815, 1637, 2443, 3227, 3983, 4705, 5387, 6023?\nAnswer: 6607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhn when four letters picked without replacement from {n: 4, h: 10}?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - y + 4*y - 5*y)*(-3 + 4 - 2)*(4 - 8 - 2) as t*y + w and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17385, 34783, 52177, 69567, 86953, 104335?\nAnswer: 121713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - -1)\/2 + 8. Let f(o) = -2*o**3 - o**2 + o + 1. Let g be f(-1). What is the highest common factor of g and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooyy when four letters picked without replacement from {o: 15, y: 5}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 760 = 6*i - 2*i, -5*m = -i + 186. Suppose -2*b = -0*b + 3*f - i, -3*f = b - 103. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 307, 1335, 3085, 5563, 8775?\n\"Answer: n**3 + 355*n**2 - 44*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 5*f**2 + 2*f - 4. Let h = 1799 - 1800. Let y(d) = d**3 + d**2 + 1. Determine h*i(b) - 4*y(b).\nAnswer: -5*b**3 + b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 257 - 202. Suppose -50 = 6*k - 11*k - 2*o, 0 = -5*k - o + r. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 228802254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202200 - 11?\nAnswer: 1202112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6475, 0.4, 2\/13, -2\/17.\nAnswer: -2\/17, 2\/13, 0.4, 6475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -53036 divided by 31?\nAnswer: -53036\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1309*m**4 + 326*m**2 - m - 19 + 12 + 7 wrt m.\nAnswer: 31416*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -n**3\/3 + 6*n**2 - 18*n + 402. Determine t(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**8\/336 - 1517*v**5\/60 + 403*v**4\/4 - 5*v**2 + v + 9. What is the second derivative of g(x) wrt x?\nAnswer: 20*x**3 - 3034","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -246\/45361 and -8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -86 in increasing order.\nAnswer: -86, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33093 + 68764. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-7) + 36\/14. Let n = 1 - -2. Let i(h) = -r*h**2 + 0*h**n - 4*h**3 + 3*h**3 - 3*h**2 - 5*h. What is i(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6092.745 rounded to the nearest 10?\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.53 - 28.13. Which is the fifth smallest value? (a) -3 (b) -0.5 (c) 3\/7 (d) u (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46885218?\nAnswer: 2, 3, 17, 673, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 923483.\nAnswer: 11, 37, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*h**3 - 2945*h**2 + 1810*h + 1095.\nAnswer: 5*(h - 73)*(h - 1)*(8*h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 150448 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/71778 and -97\/41016?\nAnswer: 287112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -63, 1\/5, 19\/3, -0.2?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/24)\/((-42)\/(-18)). Sort 1\/8, -3, m, -5, -0.4 in ascending order.\nAnswer: -5, -3, -0.4, m, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -419\/829 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -435*r*z**5 - 4414*r*z**2 - 7*z**5 - 2*z**3 - 3*z**2 wrt z.\nAnswer: -26100*r*z**2 - 420*z**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + r - 2. Let s be i(-3). Let k(z) = -z + 3. Let c be k(0). Suppose -s*b = -c*b - 26. Solve 4*g + b = -3*u, -u + 3*u - 4*g = 16 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -325\/59 + 2511\/413. Let l = 232\/3 + -78. Which is the biggest value? (a) l (b) j (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(500) - sqrt(500)*5) + sqrt(500) - sqrt(500))*-2)\/(-2*sqrt(640)) + -1)**2.\nAnswer: 5*sqrt(2) + 27\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1383 + -5.4917. Let g = h - 38.67. Let u = g - -40. What is u rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1989 divided by -284\nAnswer: 1989\/284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.81088 to 2 dps.\nAnswer: -0.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46437011 + -31747011. What is m rounded to the nearest one hundred thousand?\nAnswer: 14700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a meter in millimeters?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c + 62. Let x be j(-12). Suppose -x - 874 = -3*d. What are the prime factors of d?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108836 a multiple of 299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 3:01 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27503093201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -305 - -528. Suppose -5*c = 5*t - 330, -c - 2*c = -2*t - u. Factor -6*k + 38 + k**2 + 42 - c.\nAnswer: (k - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 102 - 60. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2352)\/144)\/(98\/84).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.4, -760.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31659914.\nAnswer: 2, 11, 13, 23, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + 0 + -2 - 14. Let h = -10 - n. Suppose 30 = -x + h*x. What is the remainder when 27 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -3*f + 8 - 3, 0 = 2*k + 5*f - 8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/18 and -31\/2772.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 108\/5*w**2 + 4*w**4 + 54\/5*w + 72\/5*w**3 + 2\/5*w**5 + 0 = 0. Calculate w.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = y + 5*l - 84, -y + 3*l = -168. Does 42 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and 823?\nAnswer: 823.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -373, -963, -1829?\nAnswer: -2971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**3 + 36*b**2 - 289*b - 2. Let x(p) = -p**3 + p**2 - 1. Let h(i) = k(i) - 2*x(i). Factor h(s).\nAnswer: -s*(s - 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.31 * -1226182\nAnswer: -380116.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*i + 486 = 206, 0 = 2*s + 5*i - 298. What is the smallest common multiple of s and 48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + 468.\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 62302.78 centimeters?\nAnswer: 0.6230278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/15 + (-76)\/(-570).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -783416, -783417, -783418, -783419?\n\"Answer: -w - 783415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34449324 a multiple of 364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and 809250240.125?\nAnswer: 809250240.425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o**2 - o + 1. Let s be b(1). Suppose 0 = -s*r + r + 9. Solve -4 = -2*a + r*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152 and 190.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1481585830 rounded to the nearest one million?\nAnswer: 1482000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-c - 2*c + 5*c)*(-c + 3*c - 3*c) - c + c + 3*c**2)*(5486*c**3 - 2743*c**3 + 2*c**2 + 8 - 2728*c**3).\nAnswer: 15*c**5 + 2*c**4 + 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1952 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -16*m**2 - 17\/156*m**4 + 0*m - 1\/78*m**5 - 2\/13*m**3 + 1. What is p in h(p) = 0?\nAnswer: -3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190028 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.2, -0.4, 2\/15?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 3\/2*r**2 + 8 - r. Let x(p) = p. Let u(j) = 2*t(j) + 10*x(j). What is the first derivative of u(z) wrt z?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192 divided by 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 4198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -24 (b) 3 (c) -16 (d) 0.334 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c*j**4 - 6*c*j**3 - 2*c*j**2 - 7*j**4 + 2*j**2 + 57 wrt j?\nAnswer: -24*c*j - 36*c - 168*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(612))*3 + sqrt(612)*-3*5.\nAnswer: -72*sqrt(17) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 717 + 23128. Is 54 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15004 - 79948 = 1476*a for a.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -48503*m - 1. Let l(b) = 4*b. What is l(j(v))?\nAnswer: -194012*v - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 154746835*a**5 + 21*a**2 + 18018563*a?\nAnswer: 9284810100*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s + 2*s**2 - 2*s + 0*s**2)*(-23 + 10 - 5) to the form t*s**2 + p*s + h and give p.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 47 + 28 = 0. Suppose -a = -0*d + 5*d. Which is smaller: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 997 + -1932. Let u = 938 + w. Solve -5*p + 2 + 23 = -5*c, 0 = 3*c + u*p + 9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 0 + n + 3*n**2 - n**3 - 7\/12*n**4 - 1\/20*n**5. Give h(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 2 + 0)*(d**4 - d**4 - 4*d**4)*(3 - 1 + 0).\nAnswer: 64*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 12*n + 22. Suppose -780 = 5*p + 8*p. Let t = p - -42. Is 26 a factor of c(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 20. Let w = 14 + z. Solve -3*i = 0, 2*v + 2*i = -3*v + w for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 + 56 - 21 + 20*g**3 - 19 - 3*g in the form r*g**3 + x*g + s + v*g**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -2. Suppose 13 - 1 = a*y. Suppose y*g - 32 = g. Is g >= 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 2 + 2 + (y + 4*y + 0*y)*(1 + 3 - 3) + 5 - 5 - y + 0*y + 0*y + y + (-2*y + 2*y + 2*y)*(3 - 5 + 4) - 4*y + 5*y + 0*y + 0*y - y - y)*(3 - 3 + 4).\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-8)*(-8)\/6. Suppose -q + 1 = -1, -b*w - 4*q = -46. Calculate the remainder when w is divided by 3\/(4*(-12)\/(-80)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -137, -2, 20, 17, 1 in descending order.\nAnswer: 20, 17, 1, -2, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -114, -441, -986, -1749, -2730, -3929, -5346?\n\"Answer: -109*h**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 - 7)*(-8 + 2 - 4)*(2*d**2 - 4*d**2 + d**2)*(d**2 - d**2 - 2*d**2).\nAnswer: 240*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(2 + -1) - 2. Let w = h + 3. Let f be 1\/(w\/51000) - 0. What is f rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 57\/5 of a century?\nAnswer: 13680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -39, 17, 83, 159?\n\"Answer: 5*m**2 + 41*m - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1545455 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1065 - -1108. Is 28 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 18.00023. Round m to five dps.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -61, -88, -55, 68, 311, 704, 1277, 2060?\n\"Answer: 5*d**3 - 62*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-110138)\/(-23601)*(-24)\/7.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*j. Suppose -4*f + 0*f = -3*s + 63, f = 4*s - 97. Let q = -20 + s. Solve -m + q*p - 7 = j, 4*p - 14 = 4*m + m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**2 + 20*t - 21. Let v(x) = 7*x**2 + 39*x - 43. Let k(u) = 5*j(u) - 2*v(u). Let b be (-1 - (42 + -1)) + 18. Does 29 divide k(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -236*g**4 + 91*g**3 + 220*g**4 - 3*g**2 - 97*g**3 to o*g**2 + r*g**3 + m*g + b + f*g**4 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6006992 by -36628.\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -0.1 (b) 0.05 (c) 2\/3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40 - 1515211531?\nAnswer: -1515211451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 560 - 3136 = 0. Is 14 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.01 (b) 151.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1455 divided by 291\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, k: 1, r: 1}. Give prob of picking 2 b and 1 k.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57 - -63. Differentiate -4*j**4 + 800 - t*j**4 - 798 with respect to j.\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107329485 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*i + 9. Let y be 6\/(-2*(-3)\/(-4)). Let f = i - y. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**25\/(g\/(g*g\/(g*g**(-18)))))\/(g**(-34)\/g**(-2\/75)))**(2\/7) assuming g is positive.\nAnswer: g**(11546\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3738*n - 3909*n + 7644*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6127 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 4*s**2 + 10*s - 6. What is the hundreds digit of n(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**3\/13 + 54*i**2\/13 + 1458*i\/13 + 7290\/13 = 0. What is i?\nAnswer: -9, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19*f*j**2 + 3983*f*j - f + 19*j**2 + 8*j + 9491 wrt f.\nAnswer: -19*j**2 + 3983*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 115*j - 2242. Let k be v(25). What is the greatest common divisor of k and 7688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1542829 to two decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8684 + 17395. Does 31 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 567\/24 + (-21)\/(-56). Solve 4*g - 2*y + 0*y - b = 0, -g - 4*y - 3 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15787\/6 + 2632. Suppose j - 3 = 4. Which is the third biggest value? (a) 1 (b) g (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 0.2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-336)\/630*(-1)\/4\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/1667 or -1?\nAnswer: -4\/1667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -303.66 - -301. Let f = -2.46 + y. Let r = 0.12 + f. Which is the second smallest value? (a) 1 (b) r (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 139745 + -83401. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -960*p - 1016*p + 814*p + 4*p + 0*p - 3*p + (1 + 4 - 6)*(2*p + p - 2*p) - p + 2*p + p in the form r + o*p and give o.\nAnswer: -1160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/60 + (-6)\/15. Is -2 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/5)\/((-5808)\/(-9900))?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 13. Calculate the remainder when 0\/d + (-217)\/(-7) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.055 and 823?\nAnswer: 822.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 7440 and -0.6.\nAnswer: 7439.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -14. Suppose 1 = -4*s - 3, j = -2*z - 4*s + 146. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*k - 28*k - 7*k to q*k + x and give q.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or 13\/2697?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-87 - -90 - (18 + -1) - -2) + (-14 - -1).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*a**2 - 36*a**2 - 29*a**2 - 28*a**2 - 12*a**2 + 176*a**2 - 34*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjpppppjz. What is prob of picking 2 j?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*b**3*j*n*y - 2*b*j + b*n*y + 2*j*n*y + 10*j*y - 2*n*y wrt b?\nAnswer: 24*b**2*j*n*y - 2*j + n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (-4 + 2313\/505). Let l = c - 2\/101. Factor 6\/5 + 2\/5*v**3 + l*v**2 - 2*v.\nAnswer: 2*(v - 1)**2*(v + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -d + 4*h, -4*d = -47*h + 48*h - 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11545 is divided by 77.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 0.04107?\nAnswer: -0.008214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27895940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 326\/99 - 28\/9. Let d = -453\/2 + 227. Let j = 1 + -6. Which is the biggest value? (a) m (b) d (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 8*u - 5*u - 2748, -4*j - u = -2756. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2664.12 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 5:36 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-246)*44*31\/3751.\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 23 + 8 = -3*b, -15 = 5*a - 4*b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -13*d + 54. Let a be u(-8). Let m = a + -121. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 5*w**4\/12 + 4*w**3\/3 - 2*w**2 - 3*w. Let c be b(-9). Suppose -3*y - 74 = -c. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141856814 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5878.518mm in meters?\nAnswer: 5.878518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1*(-1)\/(-3))\/2. Is y at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7650 - -5ff?\nAnswer: -7051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 314 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 0.3 (c) 116 (d) -1 (e) -222\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of 0*y + 0 + 2\/3*y**3 + 31\/120*y**4 + 272*y**2 - 7\/600*y**6 + 1\/100*y**5 + 1\/1050*y**7. Factor p(n).\nAnswer: (n - 5)*(n - 4)*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5 or 66242?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 289485*d**2 - 144741*d**2 - 870 + 175*d - 144749*d**2.\nAnswer: -5*(d - 29)*(d - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-1.9777.\nAnswer: 9.8885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192996 and 216.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3284+-80564\nAnswer: -83848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 453*s - 453*s - 445*s**2 to i + w*s + l*s**2 and give l.\nAnswer: -445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d + 17*d = -432. Let a = d - 33. What is the greatest common divisor of a and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, t: 4, r: 3}. What is prob of picking 2 r?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*k**2*n**3 + 35*k**2*n**2 - 3*k**2*n - 519*k**2 - 3058*k*n**2 - 4*k*n - n**3 - 4*n**2 + 2*n wrt k?\nAnswer: 34*n**3 + 70*n**2 - 6*n - 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 11*r - 607. Give d(43).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 64 divided by -8651\nAnswer: -64\/8651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/579644 and -59\/253084?\nAnswer: 17968964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 197 - 137. Let w = j - 59.7. Let l = 0.3 + 0.2. What is the nearest to -3\/7 in 0.1, w, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 39*r + 16. Let b(c) = 6*c. Determine b(s(n)).\nAnswer: 234*n + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qa when two letters picked without replacement from {q: 2, a: 2, i: 1, z: 2, b: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2288, -2279, -2256, -2213, -2144, -2043, -1904?\n\"Answer: s**3 + s**2 - s - 2289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25370611001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2, -32, -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (((-11)\/(-8))\/(-1))\/((-836)\/13376)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 547816705 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-4)*12456\/(-9234) + (-4)\/9. What is the second smallest value in -1, d, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(19) + 2 + sqrt(931) + (sqrt(152) - (sqrt(152) - -1*sqrt(152)))\/sqrt(8) - -1*(sqrt(1900) - (2 + sqrt(1900))))**2.\nAnswer: 935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 152*f**5 - 30*f**4 - f**2 - 28996*f wrt f.\nAnswer: 3040*f**3 - 360*f**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5429 - 5429. What is the nearest to 2 in 8, h, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2442147*d**3*f**2 - 17*d**3 + d**2*f**3 - 2*d**2 + f**3 + 115294*f wrt f.\nAnswer: 4884294*d**3 + 6*d**2*f + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2. Let n be -24 + 20 + 1157 + -1. Let b(d) = 0*d**2 + 1152*d - 5*d**2 - n*d. Give m(b(h)).\nAnswer: 50*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 + -14 + 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 4 + -3 + 3 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(-20))\/((-43)\/((-598044)\/(-513))).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -724, -1688, -3300, -5560?\nAnswer: -8468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b + b + 2*b + 4*b + 11*b**3.\nAnswer: 11*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 + 2)*(-4 - 1 + 6)*(0 + 1 - 2)*(-15*b**3 - 5*b**3 + 6*b**3).\nAnswer: 84*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5994 and 711880?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/5, -0.5, -0.05, -1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 8. Let i be x(-10). Let h = 34339\/10 - 3430. Find the common denominator of h and ((-58)\/8)\/((-1)\/i).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 10*b**2 - 8*b - 13. Suppose -j - 2*j + 125 = 2*a, -j + 51 = 3*a. Let h = j + -28. Let l be x(h). Solve 4*z = -z - l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1450.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*s**3*t**3 + 2*s**3*t + 85*s**3 - s**2*t**3 + 12*s*t**3 - s wrt t.\nAnswer: 24*s**3*t - 6*s**2*t + 72*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 6*q + 9*q = -11, -5*j - 17 = 4*q for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 4:32 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 11*n + 3. Let q be k(-8). Suppose -2*r + 5*r - q = 0. Suppose -5*z - 6 = r. Is z <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167777021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s + i = 113, s - 765 = -20*i + 691 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/16)\/((-15)\/10)*(-9)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(4\/3))**(-6\/23)\/(k*k\/(k\/k**(-9))*k)**(-31) assuming k is positive.\nAnswer: k**(-4989\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*m**3 + 3 + 14*m - 3 - 52*m.\nAnswer: 44*m**3 - 38*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 143\/522 - 3\/58. Factor 0 - b*o**3 + 0*o + 0*o**2.\nAnswer: -2*o**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/4)\/((-10)\/760*2). Solve 5*l = c, -3*l + 3*c - m = -7*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -21, 67 in decreasing order.\nAnswer: 67, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*d + 5*w, d = -6*w + 3*w - 5. Let g(b) = 1 - 5*b + 3 + 7*b**2 - 1. Let c(z) = -3 + 4*z - 3*z - z**2 + 3 - 1. Calculate d*g(o) + 5*c(o).\nAnswer: 2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30)\/(-10) - -7*2\/2. Is j*(-12)\/(-30)*263\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3754, 15181, 34212, 60841, 95062, 136869, 186256, 243217?\nAnswer: 307746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 408.0607 and 1.\nAnswer: 409.0607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 455 + -454.781. What is q rounded to two decimal places?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 2*x + w + 4, -x + w = -1. Find b, given that 2\/7 - 2*b + 16\/7*b**2 + 32\/7*b**x = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*l + 281*l - 899 = 986 + 2609 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*w**3 + 99*w**3 - 85*w**2 + 85*w**2.\nAnswer: 187*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f. Let v(w) = -2*w**2 + 6*w + 2. Let m(q) = 2*a(q) - v(q). Let t be m(6). Suppose -3*l - 6*r = -5*r - t, 17 = 3*l - 4*r. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.28 - 10.72. Let m = -8 - j. Let l(q) = 12*q - 1. Let n be l(0). Put m, n, -2 in ascending order.\nAnswer: -2, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + c. Let p(t) = 3*t**4 + 12*t**3 - 81*t**2 + 6*t. Let m(k) = p(k) - 6*z(k). Suppose m(n) = 0. Calculate n.\nAnswer: -9, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 2:21 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22740907.9 rounded to the nearest one hundred thousand?\nAnswer: 22700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 354 + 674 = 4*u. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*-1*(-4 + 2). Suppose 5*k + 2*u - 7*u = -5, -3*k + b*u = 0. Calculate the least common multiple of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4*f + 52 - 64, 4*f = -12. Suppose -z - 9 + 0 = 4*j, z - 9 = 2*j. Sort r, j, -4, 2.\nAnswer: -4, j, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 1. Let d be (-3)\/7 + 51\/21. Suppose 3*m - m - g - 4 = 0, -2*m + 2 = -d*g. Suppose -5*t + 31 = 3*w, -7 = -m*t + w + 6. Calculate h(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12301130 (base 4) in base 2?\nAnswer: 110110001011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61*x**4 + 132*x**2 + 33*x**4 + 70 - 69 - 2*x**4 wrt x?\nAnswer: 2208*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 387 = 108*l - 693. Calculate the remainder when l is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/14 and 10\/76307.\nAnswer: 152614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1971)\/(-219))\/(1\/1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5414 times -5\nAnswer: 27070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 124608?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 48 divided by 24\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-seven quarters of a week?\nAnswer: 1134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 9113236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -1\/4, 6817?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -217*h*w**2*x - 17831*h*w**2 - 2*h*w*x - 3*h*w - 3*h*x - 772153 wrt w?\nAnswer: -434*h*x - 35662*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**3\/6 - u**2\/2 - u. Let q be d(-2). Let p(k) = 11*k**3 + k - 1. What is the remainder when p(q) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -15.1 and -23 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 52846514 to the power of 1\/3, to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -410*i**3 + 261*i**2\/2 + 837. What is the second derivative of d(o) wrt o?\nAnswer: -2460","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 44. What is the remainder when t(26) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c + 7*c - 1925 = 0. Let y = -45 - -100. Calculate the greatest common divisor of c and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 9:11 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 14*x - 5 - x**2 + 13*x - 19*x - 1. Suppose n + 4*n = 30. Calculate the remainder when 16 is divided by v(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/1420195 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21823805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11899, 47619, 107151, 190495, 297651?\nAnswer: 428619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9618118*z**2 + 33*z + 85708621?\nAnswer: -19236236*z + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i\/i**(-1)*i))**(1\/52))**(14\/3)\/((i\/i**(-2\/7)*i)**(5\/4))**46 assuming i is positive.\nAnswer: i**(-23969\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30508928?\nAnswer: 2, 29, 8219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.080119 to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 19. Is j >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10211121021220 - 11?\nAnswer: 10211121021202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -7*k**2 - 3*k - 4. Let x(m) = -32*m + 124. Let p be x(4). Let l(o) = -15*o**2 - 7*o - 9. Give p*l(i) + 9*t(i).\nAnswer: -3*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -d**5\/30 + d**4\/4 + d**3 + d**2 + 13*d + 91. Let m(u) be the second derivative of k(u). Determine m(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q + 6 = 10*q, 0 = k + q + 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 > 193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 325871480 by -4.\nAnswer: -81467870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 121747?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 26085 rounded to the nearest 100?\nAnswer: 26100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*y**4 + 11*y**4 - 54*y**4 + 4*y**5.\nAnswer: 4*y**4*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 5 + 2 - 7 + 0 - 1. Let l(a) = 24*a**2 - 6. Calculate -l(y) + 6*w(y).\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**3\/3 - 6*b**2 + 13*b + 8. What are the prime factors of d(14)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/12)\/((-4)\/(-6)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shzh when four letters picked without replacement from {s: 3, l: 4, x: 4, z: 1, h: 4, a: 4}.\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, f: 1, t: 1, m: 1, a: 1}. What is prob of sequence ya?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 37 - 2 = 0. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 12071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - d**2 + d + 5. Let n be z(0). Let g be n\/25 + 38\/10. Solve 0*u = u + g for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 + 2*t + 4. Let m be f(3). Let d = 165 - m. Calculate the remainder when d is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = 432*w - 435*w. Suppose w*z - 50*z = -4458. Is z a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 4*l**2 + 2*l. Let r(i) = 2*i**3 + 9*i**2 - 5*i. Determine -9*b(v) - 4*r(v).\nAnswer: v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-650)\/260*(-1)\/(-20)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 115455 = -n, 3*n + 76035 = 4*v - 39410. What is the hundreds digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2039592 and 170.\nAnswer: 10197960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -14*k**2 + 9*k - 7. Let r be d(10). Is (-14)\/35 + r\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 2*u**3 + 4 + 0*u**3.\nAnswer: -2*u**3 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 425 divided by -70656.\nAnswer: -425\/70656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/3))**(-15\/8)*a**(-7\/5)\/(a\/a**(-21)) assuming a is positive.\nAnswer: a**(-911\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9 - 22)*1\/(-1). Let c be (g\/(-4))\/((-4)\/16). Differentiate -c*t**3 - 32*t**3 + 32*t**3 + 1 with respect to t.\nAnswer: -39*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*n - 195*n = -150898. Calculate the highest common divisor of 22 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m - 2. Calculate the lowest common multiple of z(16) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 102, 258, 444, 648, 858?\n\"Answer: -2*k**3 + 27*k**2 + 89*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.4 + 3.24. Let x = o - -0.16. Sort 5, x, -0.5 in descending order.\nAnswer: 5, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/59 equal to 348\/157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -6*w + 24. Round w to 0 decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(5)*1 + sqrt(5) + sqrt(30)\/(sqrt(6) + sqrt(6) + sqrt(96) + sqrt(6)).\nAnswer: 15*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294130 is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1537 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 606 + -308. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (384360\/(-2480) + 155)\/(((-2)\/16)\/(27\/36)).\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 9 + 3 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m - 2. Let f be s(-5). Let v(q) = -q - 2. Let y(o) = -o**2 + o + 2. Give f*y(a) + 4*v(a).\nAnswer: -3*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/4 of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.3 (b) 0 (c) 0.2 (d) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -5*f + 91 + 63, -93 = -3*f + 2*r. Let u be (f + -5)*1\/2. Suppose 0 = -4*z + u, -3*o = -z - 0*z - 9. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 11*k + 5. What is p(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1509939227?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 j when two letters picked without replacement from qeeqeqtqqetqqtqqqjtt.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -23\/4. Which is the third smallest value? (a) -2\/7 (b) -5\/2 (c) j (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w, w = -2*d + 5 - 11. Let i be 1\/d - (-110)\/15. Let m(n) = -3*n + 22. Let h be m(i). Solve -h - 5 = 2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22899 by -40.\nAnswer: 22899\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(63))*-4.\nAnswer: -12*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.3? (a) -5 (b) -0.134 (c) -7 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in 0.23, 3, -105, 1\/6?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114 + 5*q - 114.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -265*v + 395. What is h(4)?\nAnswer: -665","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)\/sqrt(150) - (sqrt(3) - (2 + sqrt(3)))*3*1)**2.\nAnswer: 36*sqrt(3)\/5 + 927\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*n**2 - 106*n**2 + 2360*n**3 + 195*n**2.\nAnswer: 2360*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -286, -567, -830, -1069, -1278, -1451, -1582, -1665?\nAnswer: -1694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 130*o. Let x(h) = -5*h - 23. Let f(r) = -1. Let w(p) = 6*f(p) - x(p). Let s be w(15). Let i(n) = s*n - 175*n + 84*n. Calculate z(i(k)).\nAnswer: 130*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 8*i + 66 = 0. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3863632 and 1104.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 9*o - 4. Let v be u(-5). Is (-1)\/(-6) - 3788\/v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -t**4\/4 - 5*t**3\/3 + 12*t**2 + 49*t + 49. Calculate the smallest common multiple of o(-8) and 77.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -40 + 58*c**2 + 47*c**2 + c**2 + 6*c**2 as k*c**2 + i + m*c and give k.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 135*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*c**3 + 24*c - 8 - 6*c**2 + 0 - 20*c**2 - 2*c**4.\nAnswer: -2*(c - 2)**2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-11)\/(-2) + 52 + (46 - 85)?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u. Let k(q) = q + 1. Let l(t) = 2*t**3 - 2*t**2 + t. Let w be l(1). Let f be k(w). Let z(g) = -g. Let c(v) = f*z(v) - 3*o(v). Calculate c(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or -47\/5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**8\/12 - 43*w**7\/105 - 197*w**6\/420 + 5*w**5\/21 + 13*w**4\/21 + 8*w**3\/21 + 236*w**2. Suppose t(m) = 0. What is m?\nAnswer: -2, -1, -2\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*((-16)\/20 - 1). Solve i*g = 31*g + 22 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380 is divided by 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74856213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -398 and -591578.\nAnswer: 235448044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -5*i**3 + 1633750*i**2 - 133458586860*i + 266910638760 = 0.\nAnswer: 2, 163374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.407765 nanograms in tonnes?\nAnswer: 0.000000000000002407765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59184789 - 17.\nAnswer: 59184772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**5 - 615*x**4 - 15905*x**3 + 615*x**2 + 15910*x = 0. Calculate x.\nAnswer: -86, -37, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 82*b - 310. Let j be x(4). What is the greatest common divisor of j and 2682?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 279.8 - 294.73. Let g = 14 + a. Round g to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*((w + w - 4*w)*(5*w - 2*w + w) + 7*w**2 + 6*w**2 - 12*w**2).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 91*q = 94*q + 13, -r + 13*q - 57 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-9*c + 0*c + 8*c)*(1 - 2 + 3) - c + 2*c + 0*c)*(3*c + c - 3*c) in the form s + z*c + y*c**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18975.432 months in millennia?\nAnswer: 1.581286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*d + 8. Suppose 0 = -6*g + 3*g. Suppose -t + d*t - 28 = g. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 752\nAnswer: 5\/752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 5*k - 2 + (k + 4*k - 4*k)*(17 + 59 + 7) in the form c + i*k and give i.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1560356 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -65*y + 78*y - 73*y + 14220. Solve -246*q + y*q = 18 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 9:01 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3393900 rounded to the nearest ten thousand?\nAnswer: -3390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5055232 + 5?\nAnswer: 5055240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7 + 5\/(3 + 2). Let j be (-2 - -7) + i + 6. Suppose 36 = 3*w + w + 3*l, 2*w - j*l - 44 = 0. Calculate the remainder when 34 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 602 a factor of 813759520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(40\/6)*(-20)\/(-6). Let j be (-6)\/2*1 + 11 + n. Solve l + 17 = -j*y - 2*y, 5*y + 7 = 4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 2600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 5 - g**2 + g**3 - 6*g**2 + 2*g**2 + 6*g**2 - g. Let l be k(0). Suppose -3*q = -l*c + 1893, -4*c - 3*q = -0*q - 1536. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u**3 - 13*u**2 + 77*u - 18. Is q(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -148*q**4 - 3*q**3 - 6*q**2 + 7*q - 259141 wrt q.\nAnswer: -592*q**3 - 9*q**2 - 12*q + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*b - 242*b - 250*b + 707*b.\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)*2)**2 - ((sqrt(700) - (sqrt(700) + 0 + sqrt(700)))**2 - sqrt(7)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -21515.1828 to the nearest one hundred.\nAnswer: -21500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 17 = -35. Let a(x) = -6*x**2 + 3*x + 1. Let h(j) = -j**2 + j. Determine c*h(w) - a(w).\nAnswer: 2*w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30.66 - -3.34. Let j = -33.9 + d. Sort 1\/2, 26, -4\/3, j in increasing order.\nAnswer: -4\/3, j, 1\/2, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -326, -338, -358, -386, -422?\nAnswer: -466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6701 is divided by 6688.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6625 divided by 1325.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1179636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 83*y**2 + 2*y - 49274?\nAnswer: 166*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1978494?\nAnswer: 2, 3, 7, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*y + 4*y - 2*y)*(2 - 3 - 1)*(1 + 3*y + 3*y - 4*y) in the form o + i*y + s*y**2 and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 11*a**4\/4 - 5*a**2\/2 - 1262*a - 1392. Differentiate y(g) wrt g.\nAnswer: 33*g**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -357, -374, -391?\nAnswer: -408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58.3 + -216.7. Let w = -275.000287 - n. Round w to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1188\/7 + 170. Let z = 1023 - 1024. Which is the nearest to 3? (a) n (b) 0.04 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -587*t**4 + 306*t**3 - 12*t**2 + 20943981 with respect to t.\nAnswer: -2348*t**3 + 918*t**2 - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1761?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -v**6\/120 + v**5\/15 - v**3\/6 - 5*v**2 - 2*v. Let g be 1 - (-2 - -1) - 6. Let c = g + 8. What is x(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 25*o - 403. Let m(a) = 14*a - 202. Calculate 5*m(i) - 3*p(i).\nAnswer: -5*i + 199","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*b - 16*b - 17*b.\nAnswer: -51*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**4\/3 + 32480*k**3\/3 - 65934400*k**2\/3 = 0. Calculate k.\nAnswer: 0, 4060","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 1193 = 152*n - 153*n, 4*h = -n + 1193. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.960173km in millimeters?\nAnswer: 4960173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 0.3 (b) 0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9033127 is divided by 1143.\nAnswer: 1141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 18*h**2 + 2*h + 41. Let p be n(-18). Put 4, 2, p, 15 in ascending order.\nAnswer: 2, 4, p, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7548727097\/3082 - -2449295. Calculate the common denominator of p and -3\/20.\nAnswer: 30820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/8 + ((-21)\/(-4) - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20*f**2*k - 336*f*k - 6*k - 3924 wrt f?\nAnswer: -40*f*k - 336*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1633\/(-3266))\/((-66)\/4).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*f - 22243 = 0, -124*z - 5*f + 22273 = -122*z. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 g, and 1 n when three letters picked without replacement from xggggkwgggxngwkgk?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 57.40318 to 0 dps.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express k**2 + 0*k**2 - 3*k**2 + (-2*k - 353 + 10*k + 352)*(-1 + 1 - 2*k + (-4*k - 4*k + 7*k)*(4 - 1 - 9) - 3*k - 3 + 3) as a + v*k**2 + o*k and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 2. Suppose 3*v + 12 = -x*u, 3*v = -2*v - 25. Suppose 3*z - 9 = -2*w - w, -3*w = -5*z - u. Is 2 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304966565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 943 divide 1870650789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1239743 to the power of 1\/2, to the nearest integer?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 5*z - 4. Let g be p(7). Let d = 148 + g. Is 61 at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s**2 + 5*s**2 + 3*s**2)*(2*s**2 - 181*s + 8*s**3 + 173*s + 40*s**3).\nAnswer: 144*s**5 + 6*s**4 - 24*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 1c006?\nAnswer: -1c00b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 54, 273, 866, 2019, 3918, 6749, 10698?\n\"Answer: 31*l**3 + l**2 - l + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47559?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*j - 4 = 86*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 160*a - 13. Let m be c(-31). Let h = m + -2206. List the prime factors of h.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1506 is divided by 95?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3780\/(-126)*3\/(-5))\/8?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*m - 12 = -2, 5*o = 2*m - 22. Let a(s) = -s**3 - 6*s**2 - 4*s - 10. Calculate the remainder when 39 is divided by a(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(128) + -2)**2 + sqrt(128) - sqrt(128)) + -2.\nAnswer: -32*sqrt(2) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 9 - (-81490)\/10397.\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 128? (a) -0.2 (b) -1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34524 - 12?\nAnswer: -34540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n + 5. Let c be d(4). Let p be 1\/((-1)\/(-2)) + c. Suppose -p = -3*t - 2. What is the greatest common divisor of t and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 8:58 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -220, -1050, -2494, -4552, -7224, -10510, -14410?\nAnswer: -18924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -413*f**2 - 9087*f - 56. Calculate t(-22).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 2. Let t(m) = m**2 + 1. Let h be t(1). Suppose 4*d - h + 14 = 0. Give n(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 0. Let l(v) = 3 - 99*v + 53*v + 47*v - 6. What is l(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 7:04 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -48*j**2 + 2. Let k(f) = -23*f**2 - 5*f + 4. What is k(r(c))?\nAnswer: -52992*c**4 + 4656*c**2 - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1803 is divided by 262.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppuuppxnuppp. Give prob of picking 1 x and 2 p.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*p - 25*p - 77*p - 50*p - 12*p.\nAnswer: -196*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 10 - 9) + -1 + 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-378)\/(-36)*4\/3. Let n be (-2)\/(-3) - (-2)\/6. Let a(u) = u - 1. Let s be a(n). Solve 3*m + 5 - p = s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7228.961 millilitres in litres?\nAnswer: 7.228961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -146, -99, 8, 175, 402, 689, 1036?\n\"Answer: 30*d**2 - 43*d - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15007, -29973, -44939?\nAnswer: -59905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 t when three letters picked without replacement from tsttttckstccq.\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -216 + 222. Let d be 1\/(8\/3 + -3). What is the lowest common multiple of n and (-44)\/d*3\/2?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a**2. Let t(r) = 38*r. Let q(l) = -7*l. Let v(m) = -19*q(m) - 4*t(m). What is x(v(n))?\nAnswer: -1083*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -540.388284348?\nAnswer: 544.388284348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5363176 is divided by 993?\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -10*o. Let t(d) = -51*d - 2 + 56*d - 234*d - 168*d + 21*d. What is t(s(m))?\nAnswer: 3760*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -163 - 7*i**2 + 94 + 83 - 2*i + i in the form v*i + c + m*i**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -6. Suppose -6 + 0 = -u*n. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**2 - 2 + 22*m - 2*m**4 - 18*m - 2*m**2 to k + t*m**2 + q*m**3 + l*m + f*m**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 1402*f. Let j be u(-9). What is the hundreds digit of j\/(-54) - 10\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 4*s + 6*s. Solve 3*f + 8 = 5*q, -4*f - 4 = -5*q + s for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -2549?\nAnswer: 254e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001397571 rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5430122 (base 7) to base 9.\nAnswer: -1220088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/15 + 8*v**3\/5 + 36*v**2\/5 + 72*v\/5 + 54\/5.\nAnswer: 2*(v + 3)**4\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(1300\/(-40))\/65?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-210 + 360 + 341)*(-3*z**4 + 3*z**4 + z**4) to the form x*z**3 + n*z + j + r*z**4 + i*z**2 and give r.\nAnswer: 491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z*z**18)\/z*z\/(z**(-5\/7)\/z*z)*z**(-2\/53)*z**6)**26 assuming z is positive.\nAnswer: z**(257322\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -749 - -1573. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1425383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15010461 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**3 + 0*v**2 - 2*v**2 + 1 + 82*v**4 - 169*v**4 + 81*v**4 + 2*v to the form g*v**3 + i*v**2 + o*v + u + a*v**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1809\/(-1206)*(-2)\/6*1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*b**3 + 2*b**3 - 3*b**3.\nAnswer: -17*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**3 - 2*v**5 + 2*v**3 + (3*v - 2*v + 0*v)*(5*v**4 + 2*v**4 + 2*v**4) + (v**4 + v**2 - v**2)*(0*v + 4*v + 2*v).\nAnswer: 13*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3*i**2 + i + 0 + 7*i**3 - 8*i**3 in the form o*i**2 + m*i + z + u*i**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23043 + 4?\nAnswer: -23035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -81329\/180 - -2269\/5. Calculate the common denominator of (-1 - -55)*1\/(-44) and v.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 4, -0.5, 0.1, -64946866 in descending order.\nAnswer: 4, 0.4, 0.1, -0.5, -64946866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*r + 2*r. Let l = -3 - -6. Let s be (-3)\/(3*-1) - l. Which is the second biggest value? (a) 0.3 (b) s (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -1\/9*k**3 - 4 + 0*k**4 + 1\/15*k**5 + 0*k**2 + 0*k. Factor j(y).\nAnswer: y**2*(y - 1)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 9*y**2 - 26*y - 73. Give f(-3).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 14, 43, 82, 131, 190?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 933478386 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 281643\/(-8376) + ((-15)\/(-24) - 1)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1200 - 157008*i + 157022*i - 596.\nAnswer: 14*i - 1796","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21.9 + -22. Sort a, 122, 1, 0.5 in increasing order.\nAnswer: a, 0.5, 1, 122","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(j + 3 - 3)*(-6 + 0 + 2)*(-3 + 3 - 7*j).\nAnswer: -56*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5286, -12845, -24954, -43887, -71918?\nAnswer: -111321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-o + 2*o + o)*(-5 + o**2 + 5) + (-2 + 2*o + 2)*(-o**2 + o**2 - 3*o**2))*(2*o + 2*o - 5*o)*(2 - 1 - 2).\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5265335166 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 4*c**2 - 7*c + 5. Let n be s(6). Let d = n + -308. Calculate the greatest common factor of d and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219 = -460*n + 463*n. Suppose -n*s + 75*s = 0, y - 157 = -s. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 139*z**2 - 5*z - 5. List the prime factors of p(-4).\nAnswer: 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rwhxlra. Give prob of picking 3 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand t - t + 2*t**3 + ((-4 - 2 + 4)*(3 + 1 - 2) + 0 + 8 - 2 - 2 - 4 + 44)*(-t**3 - 8*t**2 + 8*t**2) + (2*t**3 + 4*t**3 - 4*t**3)*(3 + 2 - 6).\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, k: 1, e: 1, t: 1, h: 1, l: 2}. What is prob of sequence ye?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 1)*(3 - 4). Let z(i) = -2*i - 1. Let q(h) = -2*h - 1. Let c(w) = -3*q(w) + 2*z(w). Let s be c(b). Let a(f) = f**2 + 5*f + 2. Determine a(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5183 - 37823 = -1266*k + 798 + 13404 for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from popo. What is prob of sequence op?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 7. Suppose -2*d - t = 2*d. Let p = 3 + -8. Sort d, p, -1 in ascending order.\nAnswer: p, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -10*p + 4. Let d be u(-6). Suppose 0*t + 4*t - d = 0. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -196*w**2\/5 + 203968*w\/5 + 1230864\/5.\nAnswer: -4*(w + 6)*(49*w - 51286)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-1) - -2*2. Suppose 0 = -l - 3*o + 221, d*l - 1345 + 260 = -5*o. Suppose p = -4*p + l. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 - 34. Differentiate 5 - w*b + 15 + 2*b + 28 with respect to b.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -11.467.\nAnswer: -11.467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 487097802 to the nearest integer?\nAnswer: 22070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -92 + 92.5. What is the biggest value in 1, l, -0.02, -2\/141?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, -11, 0, -5, 1 in decreasing order.\nAnswer: 1, 0, -2\/17, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-5 + (-602)\/(-119)) - (14 + -18). Solve -14*b = a - 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**5\/10 + j**3 - 9*j**2. What is the first derivative of v(s) wrt s?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/7 - 830192*o\/7 + 86152344608\/7.\nAnswer: 2*(o - 207548)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000102856 to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.38 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 113115426 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 3*m + 411, 0 = m - 3*k - 50 + 200. Let t = m + 146. Sort 3, 1, -2, t in ascending order.\nAnswer: -2, 1, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3*n + 29 = 2*n, -5*l = n - 43. Let k be 3*1\/l*573 + 0. Is 191 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -104 + 112. Suppose -3*x = x - a - 145, 4*x + 4*a = 160. Calculate the remainder when x is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - x - 2 - 4, -3*g = 4*x - 10. Let q be -4 + (-5 - g) + 1. Does 7 divide q\/9 - (-58)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*j - 4 = 0, -3*o - 3*j - 8 = -7*j. Let s = o + 1. Let w = s + 0. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 229 + 1071. Suppose 3*x = -2*c - 755, 5*c = -x - 0*c - 243. Let n = x + q. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113622785?\nAnswer: 5, 22724557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3 = -g, 5 = 3*g - 2*q + 4*q. Let w(a) = -5*a**2 + a - 1. Let i(n) = n**2. Let x(s) = 5*i(s) - w(s). What is the tens digit of x(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -27. Let a = 13 - v. Is 9\/4 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a year in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1691297, 1691381, 1691523, 1691723, 1691981, 1692297, 1692671?\nAnswer: 1693103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5677 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15505 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 252455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1229, -2594, -4067, -5648, -7337, -9134?\n\"Answer: -54*t**2 - 1203*t + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/sqrt(6) - sqrt(44))\/sqrt(4) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*f**3 - 14*f**2 + 100*f**2 + 2*f + 3*f + 1 - 86*f**2 + 4*f**4 to the form d*f**3 + q*f**4 + w + p*f**2 + u*f and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 u, and 1 y when three letters picked without replacement from {y: 2, n: 2, q: 7, p: 3, l: 4, u: 2}.\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/5)\/((-2)\/(-1)*-1))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a centimeter in micrometers?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 558 a factor of 37285002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 15995982.87 milliseconds?\nAnswer: 0.026448384375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*k - 1\/3*k**2 + 66.\nAnswer: -(k - 33)*(k + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1228\/15 + 82. Let l(g) be the first derivative of y*g**3 + 3 + 0*g + 0*g**2. Factor l(u).\nAnswer: 2*u**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*(w*w*w**1)\/w*w*w)**16\/((w\/(w*w*w\/w**(-2\/7)))\/w*((w*w\/(w\/w**7))\/w*w)\/w*w)*w**5*w*w**(2\/9)\/w*(w*w*w**(-1))**(-2\/75) assuming w is positive.\nAnswer: w**(151958\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 289 a factor of 1845882304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -55738 at most -55806?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 472962 times 0.55\nAnswer: 260129.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49)\/595 + (-4)\/34?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**4\/8 - s**3\/2 + 166*s**2 - 6*s. Suppose 4*p + 4*a = a + 11, -6 = -2*p - 2*a. Give o(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(19) - (sqrt(19) + -1)) + 5*-1*sqrt(19).\nAnswer: -5*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 10:33 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, 0.21, 1, 61\/4, 0.1081, 3\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2244 - 4866 - 10783 = -617*c for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 45.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-2))\/((-2)\/8). Suppose f*r - 68 = 5*c, 0 = -4*r - c + 55 + 125. Is 46 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105735 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 3c5?\nAnswer: -3c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -70 - -70. Put 0.3, -3\/2, -1, z in ascending order.\nAnswer: -3\/2, -1, z, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16812.578 + 16796. Let n = y + 16.1. Round n to 2 dps.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77345.\nAnswer: 5, 31, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 32 = 2. Let n(k) = -k**2 + 5*k + 2. Let b(s) = -s**2 + 5*s + 3. Let y(h) = 3*b(h) - 4*n(h). Let q be y(o). Put q, -1, 4 in ascending order.\nAnswer: -1, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 5*m - 289. Let k = 49 - m. Suppose 5*j + 1 = 5*b + 26, 2*b + k = 0. Solve -j*v = v - 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2123 - -2134. Solve y - 17 = 5*w, 6*y - 5*y - 3*w = h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 374, 376, 380, 386, 394, 404, 416?\n\"Answer: u**2 - u + 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2124006307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 606 and 5648122.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 36*s**2 - 38*s - 65. Determine c(37).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 0. Let i(f) = f + 1. Let d be i(-5). Let n = 0 - -5. What is the closest to -1\/4 in b, n, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1926642017 to the power of 1\/2, to the nearest integer?\nAnswer: 43894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*h + 29*h + 20911. What are the prime factors of h?\nAnswer: 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -285.4 and -0.00885.\nAnswer: 2.52579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -29, -5, 2\/9 in ascending order.\nAnswer: -29, -6, -5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 136121973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 435\/116 + (-7954)\/(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -2. Suppose n*k = k. Suppose -2*l - 5*h + 54 = k, 0 = -0*l - 4*l + 2*h + 60. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.15037468, 2\/11, -0.08, -5, 5?\nAnswer: 0.15037468","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 42*n**3\/5 - 5276*n**2\/5 + 606*n + 5500 = 0. Calculate n.\nAnswer: -2, 55\/21, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-42)*3\/38*-4.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 172\/9 (b) 4 (c) 89832\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.259136 centuries?\nAnswer: 310.9632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 4*n + 32. Let b be j(4). Suppose -7*y - b + 228 = 0. Solve 23*h = y*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -0.52, -1, 0.5?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(288)*1)\/sqrt(6) - ((sqrt(108) - (0 + sqrt(108))*5) + sqrt(108) - (sqrt(108) + 0)*-1))**2.\nAnswer: 3072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6)*x*x*x**8)**(-6) assuming x is positive.\nAnswer: x**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, 3.5, 1\/948?\nAnswer: 1\/948","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.9 - -12. Let w = -0.08 - 0.72. Let h = -3.8 - w. What is the closest to u in -1, -1\/4, h?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -621344 - 90656 = -20*v. What is v rounded to the nearest 1000?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 4 + 38*r**2 - r**3 - 38*r**2)*(-2*r + 3*r - 3*r).\nAnswer: 2*r**4 - 4*r**2 + 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396*p + 478*p - 18526 = -232*p for p.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -5*r + 14, 0 = 5*c - 4*r + 44 - 27 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5456\/13 or -419?\nAnswer: -419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 28400 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1 + (3 - 14) + -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -190 - c61?\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/9 - (-8)\/(-9). Let u be (-3)\/(-5) - (773\/480 - 1). Let g = 185\/672 - u. Is g smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/(-120) + (-2)\/30*-1082. Let l = f + -60. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - 34. What is the nearest to -0.3 in -5, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(2112) + sqrt(2112)*-1 + sqrt(2112) + sqrt(2112)))\/(1*sqrt(22)\/sqrt(2)*-5).\nAnswer: 64*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19192\/17 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**5 + 18883*n**4 + 3*n**2 - 14042.\nAnswer: -120*n**2 + 453192*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a milligram in micrograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -g + 7. Suppose 2*c + 3*c - 2*m = 20, 0 = 3*c - g*m - 12. Suppose j - 33 = -a, -2*a - a + 64 = -c*j. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 30 - 15 - 22 - w. What is m(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -941 divided by 2?\nAnswer: -941\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f + 1. Let q be i(-1). Let y(k) = -k - 6. Let t be y(-7). Suppose q*m - t = 5. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**9\/1008 + q**6\/360 - q**3\/6 - q**2. Let p(i) be the first derivative of z(i). Find the third derivative of p(s) wrt s.\nAnswer: -180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2*i - 2. Suppose -c = -2*s, 4*s + 5 = 4*c + 1. Sort i, s, 0 in increasing order.\nAnswer: i, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22 + 10?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 8 = 3*g - 6*g, 4*g = -5*f + 1. Let k(d) = 57*d + 1. Is k(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 688441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*f - 1. Let h = -7 + 12. Let p(k) = -k - 3*k + 1 + h*k. Let z(m) = -m**2 - 1. Calculate f*z(t) - p(t).\nAnswer: t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.133328 kilometers?\nAnswer: 133.328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 430312 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus 25.404318547023?\nAnswer: 28.404318547023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 234 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lsrllrlrs. Give prob of picking 1 s and 2 r.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 - 124*n - 1794. Determine l(74).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = 4*b + 19. Let c(x) = -x**2 + 4*x + 6. What is the least common multiple of b and c(4)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 908626936 to the power of 1\/2, to the nearest integer?\nAnswer: 30143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 2*p - 5 = -0*p, 0 = -5*p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 6) to base 16.\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.2 + 12. What is the fourth smallest value in 0.2, 0.5, c, 14\/5?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306690.84s in days?\nAnswer: 3.5496625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2 = -4*u + 2*u, -5*d + 15 = -u. Let l = -40 - -11.3. Let f = 29 + l. Which is the third smallest value? (a) f (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4128.2 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 2:35 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-3) + 20\/12. Suppose 0 = -4*f - z - 148, g + 2 = z. Calculate the remainder when 36 is divided by f\/3*12\/(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**3 - 2*x + 12 + 5*x**3 + 41 + 22 + 4*x + 2*x**2 to h*x**3 + m*x + a*x**2 + t and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 648043261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 5, 100 in descending order.\nAnswer: 100, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2470 = -10*p + 470. List the prime factors of p.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021881 - -0.4?\nAnswer: 0.378119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -596*b + 588*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110222 + -101112?\nAnswer: -212000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*d - 73, 7*d - 3*d - 82 = -h. Let c be 48\/d - (3 + 0 - 2). Let m = 3 + -1. Which is greater: m or c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/10 (b) -13\/5 (c) 1\/9 (d) 8\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68986 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c**3 + 4*c**2 - 4*c + 3. Let m(u) = 9*u**3 + 7*u**2 - 7*u + 5. Give 4*m(b) - 7*z(b).\nAnswer: 8*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 3035107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 16*w - 183. Let p(m) = -13*m + 181. Determine -3*j(o) - 4*p(o).\nAnswer: 4*o - 175","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -4487?\nAnswer: -4486.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5848530*f*g**3 - 2*f*g - f - g + 557483 wrt g?\nAnswer: -35091180*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3456 = d - 3*o, 4*d - 6912 = -4*o. Is d a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1903039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -317*t - 119*t - 180*t + 2464 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s**2 - 285*s - 901. Let i be h(60). Is -4\/563 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -158 - -158. Suppose 10*x - 1491 - 3369 = z. Is 18 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-8))**(-8)\/((c\/(c*c\/(c*c**(2\/69))))\/((c\/(c**9\/c))\/c)) assuming c is positive.\nAnswer: c**(3862\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -736*s**2 + 134*s**2 - 181*s**2 - 2 + 5.\nAnswer: -783*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2297*z - 162. Let h(n) = 6889*n - 487. Let f(k) = -3*h(k) + 8*i(k). Differentiate f(m) with respect to m.\nAnswer: -2291","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3415 (base 6) in base 12?\nAnswer: -56b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1261000, 5046132, 11354678, 20186632, 31541988?\nAnswer: 45420740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -95, -204, -313, -422, -531, -640?\n\"Answer: -109*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 8*u**2 - 12*u - 1. What are the prime factors of o(9)?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 796952 is divided by 305?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1127*u**4 - 1238*u**4 - 42*u**2 - 2*u**5 + 2083*u**4 + 3*u**5 wrt u?\nAnswer: 60*u**2 - 6768*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -3)\/((-6)\/(-4)). Suppose -3*i - r = -2*i - 78, y*i - 156 = -r. Suppose 3*a - 7*a + 72 = 4*k, -4*k + i = a. Solve -6*t - k = -2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -145*m**3 + 3*m**2 - 3*m + 3. Let d(k) = 13774*k**3 - 284*k**2 + 284*k - 284. What is -3*d(x) - 284*p(x)?\nAnswer: -142*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16940 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 12*i**2 + 66*i + 12. Let q be -2 + 2 - (-2)\/(-1). Let b(p) = -p**2 - 5*p - 1. Let s(z) = q*v(z) - 27*b(z). Is s(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -19, -29, -43, -61?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8169 and 5936140?\nAnswer: 17808420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 770674147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o + 9. Let c be n(-6). Suppose -3*m - 81 = 3*u - 0*u, 0 = 2*u - 10. Let d be 12\/(-1)*16\/m. Solve -9 - d = c*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195604 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-189)\/84)\/(((-63)\/6)\/(-24*2\/(-8))).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.039377892 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/9)*t)\/t)**(1\/7)\/(t\/(t\/t**0))**(-39) assuming t is positive.\nAnswer: t**(-2\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00179 rounded to four decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = 321 - 303. Let q(i) = 2*i + 7. Let g(k) = -2*k - 8. What is f*g(s) - 3*q(s)?\nAnswer: -2*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 1)*(-2*w - 3*w + 2*w)*(122 + 72 + 94) in the form y*w + t and give y.\nAnswer: -864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -1, -1164, 0.2.\nAnswer: -1164, -11, -1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 2*l + 2. Let t be o(-4). Suppose -3*a + t = -5. Let q be (-70)\/(-4) - 1\/(-2). Solve -q - 2 = a*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjlljal. What is prob of sequence lj?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -29. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 + 3)*(-8*d - 4*d + 19*d)*(-1 + 2 - 2).\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 13 = 5. Suppose -12 = -3*w, 0*m - m + 2*w - q = 0. Solve u - 2 - m = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u + 2. Calculate l(-12).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*n + 2*n + 14*n + 6*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**3\/3 + 1828*t**2 + 21904*t\/3 = 0. Calculate t.\nAnswer: -2738, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 k when three letters picked without replacement from kkkpkp.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1560892 (b) 5 (c) -1.1 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 2. Let n = 5 - a. Let q be (-176)\/132 + 22\/(-6) - (2 - 10). Solve -n*d - 5 = -q*v, -2*v + 9 = -1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.364 + -1.174. Let n be 2\/(-5)*(-5)\/(-7). Sort n, v, 1.\nAnswer: n, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-93)\/((454\/(-227))\/(2*(-2)\/2*1))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 1 = 10. Differentiate -3 + 4 - 3 - u + 2*o**3 with respect to o.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -390, -391, -392?\nAnswer: -393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f**2 + 7*f + 12. Let j(s) = -7*s**2 + 5*s + 5. Let v be j(-1). List the prime factors of d(v).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11695?\nAnswer: 5, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 56\/(-294)*3\/2\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w - 137 = 9*w - 12*k, 2*k + 4 - 30 = -4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(19)*2 + sqrt(19))*-3 - (sqrt(19) - (sqrt(19) - sqrt(57)\/sqrt(3)*-4))))**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 10. Suppose u*r - 5*k = 170, 0*k = 5*r + 5*k - 180. What are the prime factors of r?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 7:55 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 362 + -359. Let w(q) be the second derivative of 2\/5*q**6 + 0*q**2 + 0*q**5 + 0 - 1\/2*q**4 + 0*q**u - 8*q. Find the third derivative of w(d) wrt d.\nAnswer: 288*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1585 + -69793\/44. What is the common denominator of c and -131\/30?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/1*(-1)\/(-4))\/2. Let c(w) = w**3 - w + 18. Let v be c(z). Solve 12 = 6*i - v for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 at least as big as -1791.377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n**2 - n - 1. Let d = 7 + -8. Let x be f(d). Which is smaller: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -i**4\/24 - 23*i**2. Let u(j) = 250*j. Determine u(h(w)).\nAnswer: -250*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28917 - 6.6.\nAnswer: 28910.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -118 + 120. Let w(p) = 2*p - 2. Let n(u) = u**3 - 3*u + 3. Determine a*n(r) + 3*w(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 709 or 708?\nAnswer: 708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1093?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 185045?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -1) + 2 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**4\/12 + 41*g**2. Let n(m) = -m. Determine n(j(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5731.1 from 2116.\nAnswer: -3615.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6\/65 + -4\/13. Let z be (-6)\/16*1\/3. Which is the nearest to l? (a) -4 (b) 2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 179235 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1348 (base 12) in base 10?\nAnswer: -2216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -93 - -165. Let x be 4\/6*3 + 16. What is the highest common divisor of s and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-12))\/(90\/27)*10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 646*t - 642*t + 44 - 218 to y*t + z and give z.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -214b - -81?\nAnswer: -208a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 882 and 178.\nAnswer: 78498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-4 - -2) - (3 + 172\/18)?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 5\/2 (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4548643, -4548619, -4548595, -4548571?\n\"Answer: 24*l - 4548667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 587 divide 21719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7121271500 rounded to the nearest one million?\nAnswer: -7121000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, h: 7, r: 1, a: 7}. Give prob of sequence uaaa.\nAnswer: 1\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 412682 = -2*i, 4*i - 7*f + 8*f - 825364 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-44)*(2 - (2 - -1)). Let w(r) be the first derivative of 2\/11*r - 1\/22*r**4 + 2\/11*r**3 - 3 - m*r**2. Find s, given that w(s) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 8*r = 0. Suppose -4*d + d = r. Which is greater: d or 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119826983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 1ac?\nAnswer: 1b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 320, 326, 342, 374, 428, 510?\nAnswer: 626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1119230.86?\nAnswer: -1119230.86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3695966.74294 + 3695916. Let p = 0.03294 + b. Let r = 51 + p. Round r to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-554)\/(-3)*(1\/(-6) + (-26733)\/(-342))?\nAnswer: 2, 13, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -26, -35, -44?\n\"Answer: -9*w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -25, -46, -85, -148, -241?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1\/4, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 398*c**2 - 2*c + 2*c + 473*c**2.\nAnswer: 871*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50225 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 37 + 5143?\nAnswer: 517a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2096035?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l + 3. Let j be c(-10). Let f = -19 - -15. Which is smaller: f or j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 795342 and 1917?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-600)\/(-400))\/(1\/(16\/3)). Sort v, -0.2, 3\/25 in descending order.\nAnswer: v, 3\/25, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 383713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 409, 904, 2, -0.4 in increasing order.\nAnswer: -0.4, 2, 409, 904","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 539283825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gbggbbbgbbbbbg. What is prob of picking 1 g and 2 b?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18123 - -18663. What is the lowest common multiple of a and 108?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 4*v**2. Let z be t(4). Let x = -2 + -2. Let p = x + -1. What is the nearest to z in 1\/5, 1\/4, p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1951\/2190 + 2\/219. Let m = x + 18\/5. Solve -9*y**3 + m*y + 15\/2*y**2 - 3 = 0 for y.\nAnswer: -2\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52*g**3*j**2 - 23*g**3*j + 60*g**2*j**2 - g**2 + 3*j**2 wrt g?\nAnswer: -312*j**2 - 138*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9*(-7)\/105)\/(2\/(-10)). Let f(a) = 0 + a**2 + 2*a - 2 - 4*a. Determine f(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/24 and -155\/168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 1:29 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j - 5. Let c(q) be the first derivative of -q**2\/2 + 35. What is o(c(h))?\nAnswer: 3*h - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) 0 (b) 3\/11 (c) 2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fuf when three letters picked without replacement from ufuuufu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 5. Let o = t + 0.05. Let m = 0.04963 - o. What is m rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.031362687 rounded to four decimal places?\nAnswer: 3.0314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2105*w + 25556 + 107059 = 0 for w.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwwewwwwwwwwwwww. What is prob of sequence ww?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -25995 - -1b?\nAnswer: -25977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -13*w**4 - 5*w**2 - 5*w - 9. Let i(g) = 7*g**4 + 3*g**2 + 3*g + 4. Suppose -3*n - 10 = -n. Let u(m) = n*i(m) - 3*r(m). Differentiate u(t) wrt t.\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54611 and 25899?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/8 (b) 47\/6 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49\/10*12\/(-14)*(-10)\/(-4).\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -4. Let r = -2.3 + 2.3. Let y = r + j. Which is the third smallest value? (a) y (b) -2\/7 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u + 17. Let r be o(11). Which is the biggest value? (a) r (b) 1 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 434356.4 kilometers?\nAnswer: 43435640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -410? (a) -0.1 (b) -46 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1\/20, -2 in descending order.\nAnswer: 1\/20, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 510 and 1467321.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -6 (b) 5 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 876*g - 35880. Calculate v(43).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 5*a = 474. Suppose 4*g = -3*b + 15 + a, 3*b + 5*g = 178. What are the prime factors of b?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 5, -6711, 2\/5, -2 in decreasing order.\nAnswer: 5, 2\/5, -1, -2, -4, -6711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 3 = -2*s - 5*c, 0 = 5*s + 4*c + 8. Suppose -v - d + 1 = s, -5*v + 29 = -6*d + 5*d. Solve 2*y + 5 = 5*x - 4*x, v*x + 11 = y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*(5 + (5*sqrt(162)*-1 - (3 + 1*sqrt(162))**2)*5 + 0).\nAnswer: -849 - 495*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -708 = 4*c - 2*y, 4*y + 82 + 816 = -5*c. Let m = c - -553. Calculate the remainder when m is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14.95 + -15. Let c = 0.15 + -0.2. Let o = s + c. What is the second smallest value in o, 0.1, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + a + 14. Let i be k(4). Let z be -7 + 1 + i + 1 + 10. Solve 3 = 5*h - z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3073 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i + 0*i + 0*i)*(2*i**2 - 5*i**2 + 0*i**2 + (2*i + i - 2*i)*(6*i + 12*i - 5*i)) to the form v*i**3 + n*i + x*i**2 + l and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**5 - 2*k**4 - 6*k**3 + 10*k**2 - 4*k.\nAnswer: 2*k*(k - 1)**3*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 82.338291s?\nAnswer: 0.0228717475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 79.96 >= -53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/7)*u)**19\/(u\/u**(1\/2))**28)**(-1) assuming u is positive.\nAnswer: u**(-73\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 13*t - 37. What is q(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, s: 7, q: 2}. What is prob of picking 1 s and 2 q?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 + 16. List the prime factors of (-7)\/n*(-3 - -9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**5 - 110*m**4 - 1085*m**3 - 3310*m**2 - 4140*m - 1800 = 0. Calculate m.\nAnswer: -3, -2, -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*k + 28*k + 69*k + 58*k in the form j + m*k and give m.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4728 and 20928492.\nAnswer: 2364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.912938 litres?\nAnswer: 7912.938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 11 = 3*z, 0 = 9*m - 5*m - 2*z + 26 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159838?\nAnswer: 2, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*p**5 + 138103*p**3 - 6582235*p wrt p?\nAnswer: 100*p**3 + 828618*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, q: 1}. What is prob of sequence dqd?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 8*i**2 - 7*i. Suppose -206*n - 12 = -209*n. Let z(v) = -7*v**2 + 6*v. Determine n*w(x) + 5*z(x).\nAnswer: -3*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 930 and 8790?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -808956 rounded to the nearest one thousand?\nAnswer: -809000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2095.\nAnswer: 5, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 11*v + 18. Let b be w(10). What is the smallest common multiple of -3 + b + (3 - 6) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llll. Give prob of sequence llll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 11*t**2 + 215*t - 1657. Give o(-25).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 227009 = 3*d, 0 = 5*d - q - 273156 - 105175. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/8247 or 1?\nAnswer: 2\/8247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -72\/55237 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 387 = 4*a + 3*g, -390 = -4*a - 0*g - 2*g. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2171793825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, -441, -914, -1371, -1812, -2237?\nAnswer: -2646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tkbk when four letters picked without replacement from {o: 3, u: 1, b: 4, t: 3, k: 7}.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, e: 7}. What is prob of picking 4 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28512 minus 3?\nAnswer: -3.28512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11829, 11843, 11857, 11871, 11885, 11899?\n\"Answer: 14*u + 11815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 2 = -q. Let f(l) = -l**2 - 7*l + 4. Let r be f(q). Suppose b + r*n - 10 = 0, 0*n = -4*n + 8. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 354?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -7*z**3 - 3*z**2 + 3*z + 2. Let u(k) = -k - 3. Let r be u(0). Let l be v(r). Let g = l + 4. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u**4*z**3 + 153*u**4*z - u**3*z**2 + 420*u**2*z**3 + 2*z**3 wrt u.\nAnswer: 24*u*z**3 + 3672*u*z - 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -31 + 39, -q + 5*n = 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/416 and 149\/156.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 132 or 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g + 65*g + 26*g + 198 = 88*g for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 829792 and -23.\nAnswer: -19085216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**2\/2 + 15*d + 3. Let m be c(15). Let g(r) = -r**3 + 3*r**2 + 1. Let h be g(2). Is h >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10 + -9)*(-140 - -3). Which is bigger: -136 or h?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 19658.6 and -0.1?\nAnswer: 19658.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*a + 21*a + 24*a + 17*a - 84*a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 40\/(-6))*(-4)\/(-10). Is z > -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v - 3. Let t be i(4). Suppose 2*b - 4 = 2*p, 4*p + 9 = b - 5. Let z = p + t. Solve -w + 3*w = x + 9, 2*w = 5*x + z for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 507 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15331654 is divided by 102211.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26240 divided by -164.\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2308990975 and 358.\nAnswer: -2308990617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 2 + 8*c + 11 - 90*c in the form h*c + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -17, 4, 57, 154?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1622\/3951 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(170) - -3*sqrt(170))*-6 + -4*sqrt(170)*-2)\/(6*sqrt(110)\/(-3*sqrt(11)*3)))**2.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103 = -2*g - 3*s, -g + 135*s - 165 = -3*g + 130*s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -8*o. Let y(d) = d + 1. Let i(f) = -24*f - 15. Let h(x) = i(x) + 15*y(x). Give t(h(a)).\nAnswer: 72*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 13968474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.348 - 30.286. Let a = y + 20. Let o = 1.898 + a. Round o to one decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*x - 15. Find the common denominator of x - (-2)\/((-16)\/206) and 23\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 83000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -190*(6\/4 + -2). Let g = d + -90. Is ((g - -2) + -8)*(-10722 - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.061 times -3?\nAnswer: 0.183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**6\/15 - 2*n**5\/25 - n**4\/10 + 2*n**3\/15 - 2. Factor d(m).\nAnswer: 2*m**2*(m - 1)**2*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/2 - 8\/16. Is (p - 2)\/((-2)\/746) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.912311l to millilitres.\nAnswer: 2912.311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a microgram in nanograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/(-335)*(4 - 18 - -1) - (-13 - -10).\nAnswer: 6\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -31\/5 (b) 0.02 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -391.03409 rounded to 1 decimal place?\nAnswer: -391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1070*u = 1060*u + 80 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j**2 - 3*j**2 - 4*j**2)*(8*j - 54*j - 195*j) + 2*j**3 - 3*j**3 - j**3.\nAnswer: 2890*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 1218.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1672809 is divided by 405?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2005a5 (base 11) to base 13.\nAnswer: b3c26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100110010100010011000 (base 2) to base 11.\nAnswer: 788373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172806 divided by -6.\nAnswer: -28801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10250 divided by 1420.\nAnswer: 1025\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 + 3*f + 4. Let t(h) be the third derivative of h**5\/12 - 7*h**4\/24 - 4*h**3\/3 - 7*h**2 + 15*h. Let v = -5 + 2. Calculate v*t(d) - 7*w(d).\nAnswer: -d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65171, -131151, -197923, -265481, -333819, -402931, -472811?\nAnswer: -543453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160) + sqrt(160) + 2*sqrt(160) + sqrt(10) - (sqrt(110)*2)\/sqrt(11))\/((sqrt(98) - (sqrt(98) + sqrt(98)*5 + sqrt(98)))*-5))**2.\nAnswer: 5\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 5:52 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -77, 175\/59, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6518158643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mcvncmmvkkcc. Give prob of sequence cnkm.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01067258 to 4 decimal places.\nAnswer: 0.0107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.64 less than -0.01?\nAnswer: 44.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-112\nAnswer: 44.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19756 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 1:37 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/6 and 161\/9643500.\nAnswer: 9643500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -589 - -897. Let p(s) = -6*s - 128. Let a(j) = 3*j + 65. Let l(v) = 11*a(v) + 6*p(v). Let g be l(-27). Calculate the greatest common factor of w and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/10)\/(1\/(-5)). Let z = k + -4. Suppose g - 6*g = 25, -d - 5*g = 23. Solve z = d*t - 2 + 8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-1 - 10\/(-4)). Suppose 2*p - 2*m = p + 6, 3*p = s*m + 12. Solve 3*c - 4 = -h - p*h, -c + 2*h - 1 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -238*y - 1426. Let m be z(-6). Let p = 2 + 1. Solve 0 = c + m - p for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57968746.\nAnswer: 2, 11, 2634943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 293 + 538. Let z = -827 + m. Solve -23 = -3*n + z*l, -3*n + n - 5*l = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1256, 1\/10, 0.3, -1, 1 in decreasing order.\nAnswer: 1256, 1, 0.3, 1\/10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1012459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3062*f**2 - 123*f - 516*f + 148*f - 930*f + 71*f wrt f?\nAnswer: -6124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -16511?\nAnswer: 16510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 19. Let r(b) = -b**3 - 4*b**2 - 4*b - 4. Let k be r(-3). Is (95\/x)\/(k\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 2*z + 1558 = 1478, 180 = 9*p + 7*z for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-48)\/10)\/(891\/2310). Let z = o + 124\/9. Factor -10\/3*f - 2\/3*f**3 + z + 8\/3*f**2.\nAnswer: -2*(f - 2)*(f - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 8*r**2 - 6*r - 3. Let y be (44\/77)\/(4\/(-42)). Calculate b(y).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*w = 6, -5*n = -2*w + 6*w - 15. Let c(s) = -4*s - 4*s**2 + 1 + 2*s**3 - 4*s**3 + 0*s**3 + 3*s**n. Calculate c(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -6*a + 130. What is x(23)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1 = 4. Suppose 2*i + u*i - 15 = 0. Suppose -v = -6*v + 5*c + 565, 3 = -i*c. Calculate the highest common factor of v and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 13*z**2 + 4*z + 32. Let t be l(13). Let b be t\/714 + 146204\/(-34). What is b rounded to the nearest one hundred?\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.001 and 4498.03.\nAnswer: 4498.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**2 - 128606*y + 4134875809 = 0. Calculate y.\nAnswer: 64303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 128 = 17*u - 22*u, 5*p = 3*u + 528. Solve -5*a - p + 98 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/((-5)\/2) + 4 + -42828. Is 5\/((-105)\/i) - 10\/70 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + f = 8. Let 2*z - 3*z**3 + 3 + z**3 + 2*z**4 - f*z**2 - 3 = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.333 (b) -1 (c) -1\/8 (d) 0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 591183738 to the power of 1\/3, to the nearest integer?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**2 + 203860*m + 46121625 = 0. Calculate m.\nAnswer: -225, 40997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -48566?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 5*m = 19, -4*m = 2*z + m + 18 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 6 - 6)\/(-1). Let b be (3\/3)\/((-2)\/4). Let p be (-14)\/(-21) + -2 + 39\/9. Put l, b, p, 1 in descending order.\nAnswer: p, 1, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6370*z**3 + 6595*z**3 - 13102*z**3.\nAnswer: -137*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 31*x + 8 + 1 + 33*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -558 - -357. Let a = y + 223. What is the remainder when a is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 7*u + 259. Let j be l(20). Let t = -449 + 8533\/19. Which is the nearest to j? (a) t (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 1\/2, 2\/5, -2\/5 in decreasing order.\nAnswer: 1\/2, 2\/5, -2\/5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -0.2, -1\/52, 19.\nAnswer: -3, -0.2, -1\/52, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n. Let v(x) = -8*x**2 - 4*x. What is o(v(w))?\nAnswer: -32*w**2 - 16*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52.982 - 0.018. Let p = -39 - m. Let f = p - 13.7. Sort 1\/4, f, 6, -0.4 in ascending order.\nAnswer: -0.4, 1\/4, f, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 3*b + 1, 2*a = -b + 4*a - 11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssexszssseese. Give prob of picking 1 s and 3 e.\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*t - 844*t - 17*t.\nAnswer: -846*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 44.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k + 2 + 5*k**3 - 2*k. Let f(b) = 10*b**3 + 5. Let m(l) = -5*c(l) + 2*f(l). Does 5 divide m(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + i - 2868. Let h = -3572\/5 - i. Is h < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*v + 5*r + 35, -r = -v + 9. Find the common denominator of 85\/44 and ((-126)\/(-64))\/(-2 + -3 + v).\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30033 and 207675.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6032939 and 5?\nAnswer: 6032934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*p\/p**(-9)*p*p*p*p*p\/p**(-1\/24)*(p**2)**(-4\/23) assuming p is positive.\nAnswer: p**(9215\/552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1090\/16 - ((-54)\/(-48))\/9. Let c = 202 - a. List the prime factors of c.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397771 is divided by 229?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11178.5 and -0.0155812?\nAnswer: 11178.5155812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z**(1\/16)\/z)*z**(1\/4)*(z**1)**(3\/11) assuming z is positive.\nAnswer: z**(257\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 737935, 738142, 738349?\n\"Answer: 207*r + 737728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 342 - 228. Let n = 8 - 3. What is the units digit of j\/15 - (-2)\/n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288)\/(sqrt(12)*2))\/sqrt(8))**2 - ((0 + sqrt(75))**2 + (sqrt(3) - (2*sqrt(3) + 1)) + sqrt(3)).\nAnswer: -293\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 73*c**4\/3 + 2*c**3\/3 + 5*c**2\/2 + 15*c. Let m be s(-3). Let p = m - 1480. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/5)\/(14\/(-35)). Suppose 2*c - o + v = 4, 5*o - 12 = -c. Solve -5*n - 15 = -c*g, -n + 10 = -3*n for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a. Suppose -120*q + 122*q + 12 = 0. Let s be q + 1 - (9 + -13). Let i(o) = -3*o - 2. Determine s*i(f) + 4*t(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*18\/(-14))\/(4\/28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 2*f - 1\/6*f**3 + 3\/2*f**2 + 0. Suppose 2*q + 5*j = 4, 2*q = 2*j - 4 - 6. What is p(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -17 (c) -0.1 (d) 23 (e) -5 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.071 less than -900817?\nAnswer: -900817.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 15 = 0, 5*s - 50 - 150 = -5*a. Let x(q) = -46*q**2 - 1 + 1 + s*q**2. Let m(f) = -1 + 1 - 15*f. Give m(x(g)).\nAnswer: 45*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 9*p**2 - 7*p - 9. Calculate v(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5622, 22487, 50596, 89949?\n\"Answer: 5622*t**2 - t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/120 and 56\/3075.\nAnswer: 24600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15411151 (base 8) in base 10?\nAnswer: 3543657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b*b**36)*b*b)**(1\/6) assuming b is positive.\nAnswer: b**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m - 16 + 20 - 11 - 3 - 14 + 169*m**2. Let g(n) = 168*n**2 + 7*n - 26. Let p(a) = -7*b(a) + 6*g(a). What is the first derivative of p(t) wrt t?\nAnswer: -350*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1304 divided by -1304?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 4, n: 2, z: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1071113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -111695c9?\nAnswer: 111695c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n + 959*d - 962*d - 213 = 0, -47 = -3*n + d for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 2*c**2 - 4*c - 7. Let p(z) = z**3 - 3*z**2 + 5*z + 8. Let o(t) = 6*l(t) + 5*p(t). Let a be o(-3). Sort a, 4, -11 in decreasing order.\nAnswer: 4, a, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 474601, 1898420, 4271463, 7593730?\nAnswer: 11865221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(14\/4 - 3). Let y = n - -16. Solve y + 2 = 5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122c (base 14) to base 16\nAnswer: -c68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 40*g - 26. Calculate t(2).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 179*o - 11729. What is k(51)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 843865936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41615.\nAnswer: 5, 7, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -k**8\/784 - 11*k**7\/490 - 43*k**6\/280 - 73*k**5\/140 - k**4 - 8*k**3\/7 - k**2 - 6*k. Find q such that y(q) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0 = -4. Suppose 4*h - x = 8. Suppose 4*b - h*s - 9 = -6*s, 15 = -4*b + 5*s. Solve b = 3*w - 5 + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*f**2 + 10*f**2 - 77*f**2 + (72 - 72 + 40*f)*(5*f - 3*f - 3*f) as n*f**2 + q + w*f and give n.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 4, 5, 854 in decreasing order.\nAnswer: 854, 5, 4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.9 - 3. Let g = 0.7 + -2.7. What is the closest to g in a, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**3 - 15*p**2 - 64*p**3 + 15*p**2.\nAnswer: -71*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*g - 1 - 19 = 0, 20 = -5*g. Suppose -2*h + 4*h = f. Factor 0 + 2\/5*t**2 + h*t.\nAnswer: 2*t**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24157 and 135184?\nAnswer: 27442352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -53? (a) -3 (b) -0.3 (c) -2\/9 (d) -2 (e) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1409*r - 7694*r + 4 - 1.\nAnswer: -6285*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 5, 5\/3, 2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9202 - 7404. Calculate the lowest common multiple of m and 124.\nAnswer: 3596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 868 = 5*r + 23*r. What is the thousands digit of 45 + -37 + r*34?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 1.1. Let h = -2602 - -2600.46. Is p < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*17029656.\nAnswer: -51088968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 13838535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/22, -2999\/11, 5\/4 in descending order.\nAnswer: 5\/4, -1\/22, -2999\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - i + 112 = 0, -g - 8 = 3*i + 24. Let w be (-1)\/(-3) - g\/69. Factor 0 - w*y**2 - 2\/3*y - 1\/6*y**3.\nAnswer: -y*(y + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 670122, 1340363, 2010604?\n\"Answer: 670241*b - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/50 of a tonne?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 14. Which is the closest to 0.1? (a) h (b) -0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -7*d + 30. Let s be u(4). Suppose -1 = 3*l + 3*y + s, -4*y = -l - 21. Let b(t) = 2*t + 2*t - 7*t + t. Calculate b(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 14 = -46. Suppose -23 = 5*w - t. Calculate the remainder when 16 is divided by w + (-1 - (-10 + -3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1395159325 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 20 = -2*z. Suppose -z*k + k + 72 = 0. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -175, 4 in descending order.\nAnswer: 4, -3, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118521.\nAnswer: 3, 13, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 16798 to the power of 1\/2, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 0*o - 48. Let v = 12 + 4. Let h = v - 2. Calculate the lowest common multiple of h and o.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 + 36*f + 3. Determine o(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a factor of 1001897600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -436*(-2)\/(-1320) + 12\/(-180).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1825*f - 81 + 72 + 1599*f - 993*f + 11 to the form m*f + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 + -0.25. Let x = -0.1 + 5.1. Is y greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 10*t**2 - 7*t + 4. What is the lowest common multiple of 10 and q(9)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30\/91 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 6*l + 5. Let g(p) be the second derivative of 5*p**3\/6 + 2*p**2 + 11*p. What is -4*g(m) + 3*y(m)?\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.08, 3, -2, 1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 7 = -2*l, 20 = 4*l - 4*y - 0*y. Suppose 0 = -l*c - 13 - 7. Let b(z) = -5*z**2 - 2*z + 2. Let m(r) = -6*r**2 - 3*r + 3. Calculate c*b(t) + 4*m(t).\nAnswer: t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/23736 and 16\/163185.\nAnswer: 1305480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*n**2*w**3 - n**2*w**2 - 71*n**2*w - 254*n**2 - 3*n*w**3 + 2*n*w**2 + 12289*n*w + 4*w wrt n?\nAnswer: 18*w**3 - 2*w**2 - 142*w - 508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 2906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (21 - 10 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 791*f + 26 = 804*f. Factor 2\/5*b**5 + 12\/5*b**3 - 8\/5*b**4 + 0 + 2\/5*b - 8\/5*b**f.\nAnswer: 2*b*(b - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.743507l in millilitres?\nAnswer: 9743.507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (2 + 0)) + (-58)\/45182*-8651\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(24)\/(sqrt(16)\/sqrt(2)*-3) - ((sqrt(135) - -2*sqrt(135))\/sqrt(5) + -3).\nAnswer: -23*sqrt(3)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 5*q = -5. Let w be -15*(q + 12\/(-9)). Suppose -3*m = -w*l + 265, 0*l + 5*m = 4*l - 212. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/(-7) - 1383\/(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d - 2*d**2 - 7*d - 12*d - 2*d**4 + 247*d**3 - 246*d**3 - 4 in the form m*d**3 + b*d + n*d**4 + f*d**2 + k and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + -78*1480\/(-3120)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*v + 21631 - 5967. Let p = 1305 - v. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25 and 1825.\nAnswer: 1825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 - 20*w**2 + 1. Let d be m(-10). Put -9, -5, d, 3 in descending order.\nAnswer: 3, d, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 95*a + 19112. Give h(102).\nAnswer: -982","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 7\/3*u**3 + 0*u**2 + u - 210. Let v(j) = j**2. Determine a(v(p)).\nAnswer: 7*p**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 585781.9kg?\nAnswer: 585781900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218151859 is divided by 72?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -18*v + 1. Let b(d) = 31*d. Let l(p) = 7*p. Let n(j) = -4*b(j) + 18*l(j). What is r(n(q))?\nAnswer: -36*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v. Let o(z) = 12*z - 17. Let x(u) = -o(u) + q(u). Let i be x(-5). Let m = -65 + i. Solve 5*y + 0*y + 4*t = -24, -m = 5*y - 3*t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 33012.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 9*a**2 + 3*a - 1. What is h(8)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -45*g - 1077. What is the hundreds digit of q(-31)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-5\/4)*i*i\/((i**(-2\/7)\/i)\/i)*i\/i**2*(i**8\/i)\/i*((i**(-4))**(-2\/45))**(-4\/3) assuming i is positive.\nAnswer: i**(33259\/3780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 1\/6*a**3 - 3\/8*a**4 + 28*a**2 + 0*a + 0 + 1\/60*a**5. Determine v(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-5)*(3\/(-21))\/((-5)\/10).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**4 - 1 + 0*x**4 - 2*x**4 + 3*x**4 - 2*x**2 - 5*x**3 + 2*x to the form f*x**3 + q*x**2 + v*x + g + w*x**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75 + -71. What is the third derivative of -27*r**2 + 15*r**4 + 2*r**4 + f*r**2 wrt r?\nAnswer: 408*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 1 - -3 - 242. Let v = w - -1441\/6. Let b = -30 + 32. Which is smaller: v or b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6b787 - 16?\nAnswer: 6b771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 721, 9, -3, 4, -10 in descending order.\nAnswer: 721, 9, 4, -3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 29*s**2. Let h(a) = 4*a**2 - 18*a - 104. Determine h(b(y)).\nAnswer: 3364*y**4 - 522*y**2 - 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11327 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (21\/28)\/((-1)\/(-24)). Calculate the highest common factor of p and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 2*m + 10, 3*m + 3 - 4 = 2*d. Let b be 4*1\/d*2. Solve 20 = 6*t - b*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, -4, 1\/267 in increasing order.\nAnswer: -4, 1\/267, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107, 951, 3259, 7763, 15195, 26287?\nAnswer: 41771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, f: 1, w: 2, l: 2}. Give prob of sequence lb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19176 - 172582\/9. Let i(n) = -n**2 + 4*n + 3*n + 0*n. Let v be i(7). Which is the second smallest value? (a) 13 (b) v (c) 0.5 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178 + -329 + 129 + (-18 - 1).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 i when four letters picked without replacement from {u: 8, i: 3}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g + 80 - 2 = 0. Let k(q) = -20*q**3 + 6*q**2 + 6*q - 6. Let z(b) = b**3 - b**2 - b + 1. Give g*z(d) - k(d).\nAnswer: 14*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34993112.\nAnswer: 2, 7, 11, 56807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*q + 36*q = 400 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = -4*k + 176. Suppose -5*f = -101 + k. What is the remainder when f is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 134 + -223. Let k(s) = -s - 30. Let a be k(6). Let t = a - n. What are the prime factors of t?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46217 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y**2 + 315*y - 847. Give o(76).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3413997, 3414005, 3414013, 3414021, 3414029, 3414037?\n\"Answer: 8*k + 3413989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 182\/(-39) - 1\/3. What is the second biggest value in -2, f, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 115225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - -23. Suppose 3*d - 21 + o = 0. Let g(r) = r**3 + 10*r**2 - 15*r - 10. What are the prime factors of g(d)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/36 and -31\/4688148.\nAnswer: 14064444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(3\/7)\/y*y)\/y**12)\/(y**(-12)*y*y**7) assuming y is positive.\nAnswer: y**(-53\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67 - 44 - 50)*(-q + 2*q + 0*q)*(q + 4*q + 3*q)*(-3 + 2 + 2).\nAnswer: -216*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 115430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + h - 11676, -3*h + 15876 - 4208 = 4*j. What are the prime factors of j?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/8*(-91)\/14924*-41?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3050 and 250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 762 is divided by 142.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 g when three letters picked without replacement from {i: 1, r: 11, g: 3}.\nAnswer: 33\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + 9\/(-2))*-2. Suppose -2*i + 48 = -4*f, r*i + 3*f - 102 = -f. What is the remainder when i is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96473 to the power of 1\/2, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + o + 47 - 118 to the form t*o + z and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of r**2 - 46*r + 22. Let v be k(22). Is (10 + -9)\/(v\/(-88)) a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2529*t = -2391*t + 8142 for t.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-108)\/26 - (0 - (-36)\/(-9))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g - 238*g**3 - 4*g + 5095 + 9*g - 5100 + 2*g**2 - g**4 to w*g**4 + x*g**2 + i*g**3 + s*g + m and give i.\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - q = 0, -13*q + 11*q = -2*t - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10011011 (base 2) to base 10\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of c**6\/30 + c**5\/4 + 7*c**4\/12 + c**3\/2 + 254*c. Factor j(k).\nAnswer: k*(k + 1)**2*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 20 = 7*q. Let k be 0 - -4 - (2 + (-10)\/(-5)). Suppose 4*a - 315 = 5*o - k, 5*a - 399 = o. What is the smallest common multiple of a and q?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11444?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 24 = 21. Is -1 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**2\/2 + 26892*b - 161325\/2 = 0?\nAnswer: 3, 17925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 567750 (base 8) to base 2.\nAnswer: 101110111111101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 2*k**2 - 17*k - 5. Let l be i(-5). Solve -2*w - 1 = -l*t - 17, 4*w - 12 = 5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrigrziigzzrzir. Give prob of sequence grgz.\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -22, -16, 4, 44, 110, 208, 344, 524?\n\"Answer: d**3 + d**2 - 4*d - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256*o - 6*o**3 + 2*o**2 + 6*o**3 - 20*o - 10*o**3 + 3*o**3.\nAnswer: -7*o**3 + 2*o**2 - 276*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4489108658 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-20 + 4 - -14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-3)*(-6)\/(-34). What is the biggest value in v, 2, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + -20 + 9 - ((4 - 0) + -8 - -14)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 2*p + (0*p + 0*p - 2*p)*(-1 + 1 - 5) - 3*p + 4*p + 0*p - 2966 + 2966 + 138*p.\nAnswer: 151*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 202 + 3?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -124721584.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5*q - 11 = s, -3*q - 6 = -3*s. Let b(t) = -t - 1. Calculate b(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**8\/10080 - m**7\/5040 - m**6\/720 - m**5\/30 + m**4\/8 - 2*m**2 - 2. Let g(b) be the third derivative of u(b). What is g(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6052.\nAnswer: 2, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 3*h + 55 + 176, 0 = -k + 4*h + 60. What is the remainder when 5181 is divided by k?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 - m + 1. Let x be q(1). Suppose -13 + 37 = 4*r. Find the third derivative of f**x + 3*f**6 + 0*f**6 - 3*f**6 - 3*f**r wrt f.\nAnswer: -360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247926157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 - 37. What is the remainder when 38 is divided by j + (-11)\/(22\/(-20))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (-3 + 2)*2. Let o(c) = c**2 + 6*c + q - 3*c - 3*c + 4*c. Determine o(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-6) + (-25)\/(-150). Solve f = -4*u + o + 1, -2*u - 3*o - 2 = -o for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -716 = -2*b - 720 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6\/11))**(1\/4)*(k**4)**(-43) assuming k is positive.\nAnswer: k**(-3787\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 29, 4, 7, 1 in ascending order.\nAnswer: -1, 1, 4, 7, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-32)*l*l**(-22)*l**19\/(l**(-15)\/l) assuming l is positive.\nAnswer: l**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -326, 4, 5, -2795, 1, 0 in increasing order.\nAnswer: -2795, -326, 0, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-1 + sqrt(98) + -4 + sqrt(98) + -3))**2 + 3)*-5.\nAnswer: -9135 + 4480*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - (-2174)\/1086)*3. Is 1 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 2*z + 6, 2*z = -3*r + 5*r - 2. Suppose 16 = -2*a - r*a. Which is bigger: a or -8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**3 + 4*n**3 - 2*n**2 - 3*n**3 + 3*n**3 to the form s*n + q*n**3 + g*n**2 + k and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 + 73905?\nAnswer: 73916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00381151263 to four decimal places.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -153 - -151. Sort -5, 0, c, -1 in decreasing order.\nAnswer: 0, -1, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 134 + 999 = 0. Suppose 82 = 2*b - 568*u + 566*u, -3 = -u. What is the remainder when y is divided by b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a decade in years?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 16. Suppose -j*s = 4*v - 142, 2*s + 2*s + 4*v - 112 = 0. Suppose -5*m - s = -125. List the prime factors of m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -2*w**3\/3 - 2. Let s = -1 - -3. Let d(c) = -158*c + 158*c - 3*c**s + 4*c**2. Determine r(d(q)).\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b + 5*b - 2*b + 6*b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, j: 10}. Give prob of sequence jqjj.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*f + 33, 30 = 5*w - 4*w + 5*f. Calculate the remainder when 72 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -1 + 6. Let y(u) = -u - 2. Let f be y(s). Let h(r) = r**3 - 6*r**2 + r - 6. Let v be h(6). Solve i + f*m + 7 = 0, m = 3*i - v + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -251 - -3?\nAnswer: -24a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/336 and 20\/11.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + g - 6 = 0, -9*t - 23*g = -19*g + 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -128100 times -591?\nAnswer: 75707100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3794659 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1402681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.544 - -0.056. Suppose -3*n = n - f, 0 = -2*n + 2*f. Let d be (-20)\/70*(-1 + n). Are g and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 27\/5. Which is the second biggest value? (a) -0.4 (b) 6 (c) u (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 3*m**6\/40 - m**5\/10 + m**4\/18 + 7*m**3\/3 - 4. Let u(c) be the third derivative of i(c). Find k such that u(k) = 0.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 14*b**2 - 12*b - 10. Let j be v(13). Let c be (8\/(-6))\/((-2)\/j). What is q in 1 - 1 - q**c - q**2 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 14*u**2 + 15*u - 13. Let f be (-30)\/(-4 + -1) - 3. Suppose 4*q - 4*y + f*y = 56, q - y - 17 = 0. Is 9 a factor of x(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/55 and 7\/11120.\nAnswer: 122320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2876456?\nAnswer: 2, 11, 32687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 8 = -28. Let b(g) = 3*g**2 - 9*g - 5. Suppose 0 = -2*y + 2*l + 8, 5*y - 15*l = -11*l + 24. Let f(n) = -2*n**2 + 6*n + 3. What is y*f(o) + z*b(o)?\nAnswer: -o**2 + 3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuoouoououuuuu. Give prob of picking 1 u and 2 o.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3241.207 - 3248. Let h = 0.073 + a. Round h to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 46\/5 of a milligram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i**2. Let m(t) be the second derivative of 0*t**2 + 0 - 1\/3*t**3 + 37*t. Give m(c(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4*(0 + 3\/(-54))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + g - 18 = -3*c, -4*g + 12 = -2*c. Let y(r) = -r**2 - 10*r + 5. Let z be y(c). Let t(x) = 10*x + 2. Is 26 a factor of t(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -4 (b) -16 (c) -0.1 (d) 4 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -3865?\nAnswer: 2\/3865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence et when two letters picked without replacement from tett?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(0*o - o + 2*o) + (9*o + 14*o - 7*o)*(-1 + 0 + 3).\nAnswer: 34*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -40872 to the nearest one hundred.\nAnswer: -40900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2166132731?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-12) + 9\/10. Let x = 51 - 51. Which is the nearest to x? (a) 1\/2 (b) 2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w**3 - 4*w**3 - 2*w**2 + 1443*w - 2*w**3 - 1237*w + 2 in the form y*w + k*w**2 + d + h*w**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r**2 + 1482*r + 2684. What is h(-210)?\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6460 in 1\/2, 2, 3555?\nAnswer: 3555","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -334.4 times -8799?\nAnswer: 2942385.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9319 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/243 and 157\/66.\nAnswer: 5346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -62?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118, 455, 1008, 1771, 2738?\nAnswer: 3903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*a = 3*b + 70 + 14, -a - 4*a = -4*b + 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/8 (b) 26\/123 (c) 0 (d) -5 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 732979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11111010110111 (base 2) to base 11\nAnswer: -11076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5998 - 5998.08638. What is m rounded to three decimal places?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 169, 289, 357, 373, 337, 249, 109?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30547 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + (-20)\/3)*-3. Suppose -2*p + 8 + 4 = -3*r, p - 2*r = j. Suppose -3*q = -p*q - 3*i - 99, 5*i = q - 53. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85250989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24.7 - 21.7. Let m = -2.6 - -1.2. What is the second biggest value in -2\/7, 4, m, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 1 = 3. Let r = t - -1. Suppose -m = -r*m + 4. Which is the nearest to 1\/4? (a) 4 (b) m (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22\/437 not equal to -0.71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -8. Suppose 2*w = m - 2*m + k, 3*w - 3 = -m. Suppose 8 = 2*p - w*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 5 - 2)*(-2*w - 1 + 1) - 104729 + 104729 - 189*w to k + n*w and give n.\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8\/((-16)\/(-3))*(-1)\/4\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -3 - 4 - (8 + -7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*k**5*p**2 - 128*k**5 - 15*k**2*p**2 - 68*k*p**2 wrt k.\nAnswer: -420*k**2*p**2 - 7680*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002069 rounded to 4 dps?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**2 - 13*s + 3. Let w be f(-4). Let g(a) = 9*a**2 + 9 - 5*a**3 + 6*a - 3*a**2 + 4*a**3. Let k be g(w). Which is smaller: k or 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 6*k**2 + 9*k - 3. Let b be z(-2). Suppose 0 = -18*p + b*p + 735. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, w: 4}. What is prob of picking 4 w?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 24?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4687 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(8\/13)\/s))\/s*s*s\/s**(16\/9)*(s**(1\/11)*s)**(-3\/29))**(-7\/6) assuming s is positive.\nAnswer: s**(-129059\/223938)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.3, 343, 4, -2, -7, -3\/2 in increasing order.\nAnswer: -7, -3, -2, -3\/2, 0.3, 4, 343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h*j**2 - 1210*h*j - 2*h + 186962*j**2 - 7*j wrt j?\nAnswer: -2*h + 373924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -124434 (base 7) to base 2\nAnswer: -101101010100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 347267.2 litres in millilitres?\nAnswer: 347267200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**3 - 3*l + l - 3*l + 2*l**3 wrt l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g - 1. Suppose 0 = -5*y + 42 + 478. Let o be y\/(-20) + (-1)\/(-5). Give z(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*f + 53031 = 368*f + 63136 for f.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367580 is divided by 2097.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -1c322?\nAnswer: -1c31c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -2*k**4 + k**2 + k - 2. Let u(s) = 3*s**2 + 40*s - 29. Let x be u(-14). Calculate f(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118064583 divided by 17913?\nAnswer: -6591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-126)\/(-24)*(-55)\/(-2695)*7\/3.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + 2*i + i)*(-27*i**4 + 21*i**4 + 21*i**4 + (3*i**2 - 2*i**2 - 3*i**2)*(-3*i**2 + 6*i**2 - 2*i**2)) + (i**4 - i**4 + i**4)*(-3*i + 3*i + 6*i).\nAnswer: -20*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1237531 and 0.2.\nAnswer: -247506.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1332.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.695312ml?\nAnswer: 0.005695312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-68)\/(-663))\/((-42)\/(-91)). Solve -8\/9*w**3 - 2\/3*w**2 + 8\/9 + 8\/9*w - q*w**4 = 0 for w.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - -6)\/(-1 - -3). Suppose 0*i = 5*s + 5*i - 170, q = 3*s + i - 102. Calculate the remainder when ((-5)\/(-5))\/(-1*(-3)\/195) is divided by s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 0*f**3 + 0*f**2 + 1\/14*f**7 + 0*f**5 + 0*f**6 - f + 0 - 1\/3*f**4. Find the third derivative of l(k) wrt k.\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, z: 4}. What is prob of picking 2 z?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 498 - 36. Let u(t) = 9*t - 2*t**3 + w + 79 - 3*t**2 - 154. Calculate the remainder when u(-4) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 27, 66, 127, 216, 339, 502?\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {c: 7, g: 4}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -278 + 2828. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -14. Let g(a) = -5*a**2 + a**3 + t*a - 22*a + 4*a + 2*a + 9. Let c be 1\/(26\/12 - 2). Determine g(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -236, -362, -508, -680, -884, -1126, -1412?\nAnswer: -1748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/8 (b) -6.2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*b = 84, m + 38 = 3*m + 2*b. Calculate the lowest common multiple of 2 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2 = 2*z + 10, 5*m - 2*z - 9 = 0. Let k = 10 - m. Solve 5*i = 6 + k for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 12 = -g. Suppose -g*c - 1 = -31. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 q when two letters picked without replacement from {c: 6, h: 1, n: 3, q: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ararraaaaraaaraaraa. What is prob of picking 3 r and 1 a?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66 - -78. Let i(g) = g**3 - 12*g**2 + 2*g - 24. Let t be i(m). Suppose -8*u + 4*u + 12 = t. Solve u*b + 18 = 5*r + 5*b, 3*r - 17 = 5*b for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4255127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71*m**4*u**2 + 5*m**4 - 21*m**3 + 2*m**2*u**2 + 2*m**2 - 3474*m wrt m.\nAnswer: -1704*m*u**2 + 120*m - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2797593.\nAnswer: 3, 941, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v - 88. Let h(g) = -g + 24. Let t(m) = -11*h(m) - 3*u(m). Let d(i) = 1190*i. Calculate t(d(c)).\nAnswer: -1190*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(-208))\/((-400)\/(-960))*-4*6\/(-531).\nAnswer: -2\/295","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -36, q - 13 = 14*r - 15*r for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1473?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1719, -7422, -16911, -30174, -47199, -67974?\nAnswer: -92487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 21081, 169697, 573087, 1358637, 2653733, 4585761, 7282107?\n\"Answer: 21231*g**3 + g**2 - 4*g - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + (4 - -7 - 20) - 54.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*2452524.\nAnswer: -9810096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 15) in base 5?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, i: 4, t: 3, b: 1, c: 3, h: 1}. What is prob of picking 1 c and 1 i?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -339, -2043, -6471, -14985, -28947, -49719, -78663, -117141?\n\"Answer: -227*b**3 - 115*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52882 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33917363 and 1241.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302431 is divided by 17790.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = t - 2*n - 21, 5*t = 3*n - 5. Let i = 46672 - 46674. What is the biggest value in i, -6, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59\/2 - 164\/3. Let z be (-4)\/(-18) + (-26968)\/18. What is the common denominator of x and 3\/40*z\/21?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 75*v**4\/7 + 2340*v**3\/7 + 25287*v**2\/7 + 114246*v\/7 + 26136 = 0?\nAnswer: -14, -33\/5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -428 + 614. What is the remainder when b is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 97 = -5*s, 27*l = s - 528 + 37 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.4861 + 4.358. What is m rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g*g**(8\/7))\/g))**0*g*g*((g*g**(-3))\/g*g)\/g*(g**(7\/4)*g)\/g assuming g is positive.\nAnswer: g**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + g = 236. Let h = 102 - g. Suppose o = q + q - h, -4*o = 2*q - 38. Solve 4*x = x - 3*u - q, -5 = 5*x - u for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-45))\/((-16536)\/76320)?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -374427778 minus 0.028?\nAnswer: -374427778.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-5))**(2\/33) assuming x is positive.\nAnswer: x**(4\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t**2 - 20*t + 1. Let r be m(5). Which is greater: r or 19\/11?\nAnswer: 19\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*m = -21*m + 185 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*v**2 - 94*v + 391 wrt v?\nAnswer: 4*v - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 9:17 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 121 + -83. Suppose -4*h + 2*w - 80 = 0, 3*h = 5*h - 5*w + 24. Let d = c + h. What is the remainder when 30 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3*1*(sqrt(3) + (sqrt(3) + -3)*-5) - (((-2 + sqrt(75))*-2)**2 + ((-5*(sqrt(75) - (2 + sqrt(75))))**2 - sqrt(75)))).\nAnswer: -1855 + 365*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*i**2*p**2 - 3*i**2*p - 29*i*p**2 + 1306*i*p wrt p?\nAnswer: 60*i**2 - 58*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**3 - 84*i + 163*i + 17*i**3 - 79*i.\nAnswer: 15*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -850580\/33 - -77023\/3. Let q = -101 - i. Which is the closest to 0? (a) q (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17405 or -4?\nAnswer: 17405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x = -l - 89, -x + 2*l + 23 = 0. Let v(i) be the first derivative of -i**2\/2 + 6*i - 1. What is the remainder when x is divided by v(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 70.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*2*(-1587)\/(-276).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2\/7 + 384*q\/7 - 1024.\nAnswer: 4*(q - 16)*(q + 112)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 3\/4 (b) 3 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l**2 - 684*l + 41. Give y(0).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/17 and 25\/102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 18*x + 20. Let k(a) = -a. Determine k(v(i)).\nAnswer: -18*i - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11271983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4\/(-18) + (-1 - (-533)\/9) and (-3 - (0 - 2)) + 9 + -5.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -2 + sqrt(13) + -4 + 2)**2.\nAnswer: -16*sqrt(13) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119 - 4*z - z + 13*z - 6*z.\nAnswer: 2*z + 119","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2454*b**2 - 2*b + 227*b**2 + 2*b.\nAnswer: -2227*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 33*v + 36*v - v**3 - 2*v**2 - 68*v - 5 - v**2. Let p be q(-4). Suppose -3*a = -5 - p. Calculate the greatest common factor of 32 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, z: 4, j: 4, q: 5, n: 6}. What is prob of sequence jz?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3545637974*d - 7091275971*d + 3545637982*d.\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 4:36 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((5 - 17) + 8 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -36*o - 3658. Let c be l(-102). Solve -6 = -c*a + 8*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1935 and 2193?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 157*l**3 - 187*l**3 + 123*l**3 + (-4 + 2 + 4)*(3*l**3 - l**3 - 3*l**3) - 9 + 9 - 8*l**3 to y + h*l**3 + u*l + c*l**2 and give h.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/2*3 - (-2)\/4. Suppose 100 = l*m - 0*m. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43450 divided by 4345\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -67805 divided by -172?\nAnswer: 67805\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1673 and 14511841?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 10 - 3 + 1 - 6*f.\nAnswer: -6*f + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 930 and 10?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -222.342 - 0.658. What is the third smallest value in -2, k, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -12*x + 177. Give r(-7).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -6*t - 4. Let g(j) = j. Let z(x) = 5*g(x) + w(x). Calculate z(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7863 is divided by 524.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -2*q - 2\/3*q**3 + 0 + 11\/2*q**2. Let h(d) = d - 1. Let f(n) = 5*h(n) + s(n). Determine f(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-151*w - 19354 + 19354)*(46 + 3 + 27) as f*w + x and give f.\nAnswer: -11476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280399187?\nAnswer: 23, 12191269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 11:25 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f - 16. Let o be b(-6). Suppose o*j - 126 = -12*j. Let n be (-65)\/(-20) - j\/(-12). Solve k = -k + s + 6, n*k = -3*s + 22 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 1642 = -2*u, u + 0*u = -4*s + 815. Suppose -757 = -4*h - d, -5*h = 5*d - 108 - u. Round h to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-13 + -8 - (17 + -29)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 - 325*t - 15 + 329*t)*(-3*t + 6*t - t)*(-5*t + 3*t + 0*t).\nAnswer: -16*t**3 - 112*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -b3131 (base 13) in base 5?\nAnswer: -40232341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1444, 2823, 4202, 5581, 6960, 8339?\n\"Answer: 1379*h + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 889937977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5624 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 520.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((234\/(-108))\/(-13))\/((-2)\/(-6)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 567678 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1188 and 19283?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 5*s = -8*z - 15, 5*z - 40 = 2*s. Let y be 1\/(-1 + 6\/4). Is -9 + z - (y + -212) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*c**3 - 2*c**2 - 36166*c + 24880152.\nAnswer: 39*c**2 - 4*c - 36166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -85 + 146. What are the prime factors of h?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y + 15 = -3 - 118 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25 plus 55458?\nAnswer: 55457.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 38*m**2*o**2 - 4*m**2 + m*o**3 - m*o**2 + 87 wrt o.\nAnswer: 76*m**2*o + 3*m*o**2 - 2*m*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1528206 is divided by 23878?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of m**3 + 51*m**2\/2 + 126*m + 11615. Suppose q(d) = 0. Calculate d.\nAnswer: -14, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5714215 + 4*x**2 - 5714217 - 3*x**2 + 6*x. Give q(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.308053nm in micrometers?\nAnswer: 0.006308053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**2 - 1636612*g - 14729346 = 0?\nAnswer: -818297, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19685 - 19686. Which is the second biggest value? (a) -3 (b) 0.4 (c) s (d) -125\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (125\/(-15))\/(-5)*-2*1\/10?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4131 by 6.\nAnswer: -1377\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 1430.\nAnswer: 7150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t**3 - 2*t + 2. Let u be r(2). Calculate the common denominator of ((-3)\/4)\/(63\/690) and 363\/u + (-2)\/2.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cayaraarrycnkyacyya. What is prob of picking 1 y and 3 r?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1856 = -46*f + 38*f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 11*o - 7. Let q(w) = 1. Let j(t) = -p(t) - 6*q(t). Let h = 10 - 13. List the prime factors of j(h).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b**2*g*s - 3215*b**2*s - 89*b*s - 4*g*s + 2*g + 1063 wrt b?\nAnswer: -2*b*g*s - 6430*b*s - 89*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a5 (base 16) in base 13?\nAnswer: -872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 6:44 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(5) + sqrt(5) + 0 + 5)**2 - (1 + sqrt(5) + -2)) + (3 + sqrt(180))*4 + 2.\nAnswer: 58 + 43*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 876154405 to the nearest integer?\nAnswer: 29600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 4 = o. Suppose 4*n - 8 = 4, -o*n + 156 = 2*i. Suppose -2*m + 0*y = y - 48, -4*y - i = -4*m. What is the remainder when m is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 4*b + 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*m**2 - m**2 - 5*m**2 - 7*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4379382 is divided by 265.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28870385 = 156*h + 28887545 for h.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -19*j**4\/2 - 2*j**3 - 2*j - 18. Find the third derivative of v(o) wrt o.\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22210 rounded to the nearest one thousand?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3697467 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/147? (a) -6\/7 (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-1)*(-168)\/60. Let q = x + 16. Let a(m) = 2*m**3 + 3*m - 2. What is a(q)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -o + 3*q + 16, 3*q + 42 = 3*o. Let j be (-276)\/o*(3\/(-2) - 1). Suppose -j*z - 8 = -50*z. Solve m = -n, n = z*n - 2*m + 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*r + 2963 = -198 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28611 and 1089.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from wwyypwpppww.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 106905?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 4 + 0 - 2)*(-4*l + 2*l + l)*(-2*l + 0*l - l).\nAnswer: -12*l**3 + 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132 and 948.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 5*t + 3. Let v be b(3). Let y be (3\/v + -499)*2. Round y to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from nnynynyyyyy?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*v**4 - 101*v**5 + 102*v**5 - 3*v**4 - 14*v wrt v.\nAnswer: 20*v**3 - 96*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 404*s. Let d = 427 + -430. Let m(i) = -13*i. Let g(o) = -10*o. Let l(h) = d*m(h) + 4*g(h). Give b(l(r)).\nAnswer: -404*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 562 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -904000 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g. Let q(r) = -213*r - 50. Let l(y) = -214*y - 44. Let b(u) = -8*l(u) + 7*q(u). Determine b(w(t)).\nAnswer: 884*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ama when three letters picked without replacement from {m: 6, a: 5, b: 2}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3410184 and 8525460?\nAnswer: 17050920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -144330 rounded to the nearest one thousand?\nAnswer: -144000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5505*a + 1831*a + 1843*a + 1836*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*u**3 + 2*u - 92*u**2 + 92*u**2.\nAnswer: -76*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2293 + 0.1184. Let g = 12.2409 + v. Round g to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*d - 52 + 11 - 41 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h**2 + 6*h**3 - 6*h + 7*h**3 + 22 + h**3 - 27 - 13*h**3 to a*h + g*h**3 + f + j*h**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1709, -1716, -1723, -1730, -1737?\n\"Answer: -7*t - 1702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 213.6044 - 0.1044. Let m = 213 - k. Let d be (2 - 1) + 11\/(-9). Sort d, m, -1\/5, 0.03 in ascending order.\nAnswer: m, d, -1\/5, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 8 = -4*w. Suppose -d + 69 = -z, -w*z = d - 5*z - 63. Let x be 5\/(-10)*6*-4. What is the highest common divisor of x and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -488, -981, -1474, -1967?\n\"Answer: -493*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 50\/125 + 46\/10. Let m = 12 + -7. Suppose -f + 346 = u*z, 0*z = -4*f + m*z + 1284. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111504 smaller than 1971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 626?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*s - 10 = 0, -5*s + 6 = 2*v - 26. Calculate the highest common divisor of v and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*m + 798, -5*m - 798 = -7*f + 4*f. List the prime factors of f.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.349 and -28.\nAnswer: -9.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**2. Let p(c) = 87*c**2 + 232*c**2 + 119*c**2. Calculate p(r(n)).\nAnswer: 1752*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + x - 6. Determine i(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2965 - -3415. What is the highest common divisor of y and 350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -139aa7 (base 14) to base 16.\nAnswer: -a5fc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39750.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1334, -1326, -1306, -1268, -1206?\nAnswer: -1114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 4*i = -4*i + 3*i + 6, 8*g = -0*i - 3*i - 71 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 0*r + 5*r)*(-3*r**4 + 5*r**4 - 3*r**4) - 365*r**3 + 177*r**3 + 188*r**3 + 787*r**5.\nAnswer: 785*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -u**7\/630 + 7*u**6\/270 - 31*u**5\/540 - 5*u**4\/108 + 8*u**3\/27 + u**2 + 46*u. Solve s(r) = 0 for r.\nAnswer: -2\/3, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 3*b - 189 = -4*p, 5*p - 239 = -b. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 155, 387, 727, 1175?\nAnswer: 1731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 48 in 0, 1\/2, -3\/5, -25?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.6704117 and -9.\nAnswer: -42.0337053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -150, -204, -240, -252?\nAnswer: -234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 2:33 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f - 1. Let n = -37 + 16. Let d be (-3)\/((-27)\/(-6))*n. Suppose -3*x + 4*g = -g - 1, -4*x = g + d. Determine r(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h**2 - 3. Suppose -3*r - 1 + 4 = 0. Let n(o) = o**2 + 1. Let i(f) = r*p(f) + 2*n(f). Differentiate i(m) wrt m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 - 18 = -f. Suppose -f*a + 50*a = -504. Let j(r) = 4*r**3 - 2*r**2 - 2*r - 2. Let u(v) = 39*v**3 - 21*v**2 - 21*v - 21. Determine a*j(l) - 2*u(l).\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 5 + (-3 - 5 - 0) + -6?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12008989*q**5\/6 + 901303467*q**4\/2 - 70811838*q**3 + 3710088*q**2 - 64800*q.\nAnswer: -q*(q - 225)*(229*q - 12)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * -2694.\nAnswer: -53880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**6\/120 - 3*k**5\/20 - k**4\/24 + k**3\/3 + 212*k**2 - 2*k. Let s = 2 + -3. Let r be 4\/3*6 - s. Calculate d(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (21 - (1 + -2)) + 2. Suppose -4*g = -4*f + 8 + p, -2*f - 5*g = -51. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/36*-3*3\/2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3194*n + 1061*n + 1064*n + 1068*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5*x**3 + 3*x**2 - 3*x - 3. Suppose 0 = -7*a + 4*a + 9. Let m(k) = 0*k**3 + 2 + 0*k + 4*k**3 + 3*k - a*k**2. Let d(v) = -4*m(v) - 3*s(v). Give d(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 5*x + 8 - 7*x**2 + 2*x**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bp when two letters picked without replacement from beppbtppu.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3*m**3 - 6747*m**2 + 27027*m - 20277 = 0.\nAnswer: -2253, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 4924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 22\/(-11) + (1 - -5). Solve n - 9 = -h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + c29?\nAnswer: c32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 27*y**2)*(-538*y**2 - 105*y - 103*y**2 + 105*y) to m*y + q*y**3 + r + n*y**2 + k*y**4 and give k.\nAnswer: 17307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 2209*s**6\/30 - 5467*s**5\/60 - 28*s**2 - 5*s - 6. What is the third derivative of d(w) wrt w?\nAnswer: 53016","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66107, -132237, -198367, -264497, -330627, -396757?\nAnswer: -462887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4160190, 4160189, 4160188, 4160187?\nAnswer: 4160186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2829487 (base 10) to base 14.\nAnswer: -539223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (13 + -43 + 16).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3 + 0 + 0 - 10*z. Suppose 4*k + 15 + 7 = -3*x, -k - 1 = 0. What is the tens digit of r(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-3)\/g)\/g)\/(g\/((g\/(g*g**(-7)))\/g))*(g*g\/g**(3\/2))\/(g*g**(-7)))**27 assuming g is positive.\nAnswer: g**(351\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*l = -39*l - 24. What is the first derivative of 27 + 9 + 0*g**l - 6*g**4 - 6*g**4 wrt g?\nAnswer: -48*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13770?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a**2 - 4*a - 2. Let i be d(0). Let h(j) = 9*j + 23. Let t be h(i). Let y(m) = m**3 - 6*m**2 + 5*m + 3. What is y(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2.5 or 11554\/27?\nAnswer: 11554\/27","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Expand (56*z + 25 - 27 + 19*z)*(-7*z + 3*z + 3*z)*(-2*z**2 + 0*z**2 + 3*z**2).\nAnswer: -75*z**4 + 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 69767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3261\/5 (b) -54 (c) 1\/4 (d) -1\/6 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 9 = -92*r + 94*r, 0 = -2*r - 4*i + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.3 + 1.3. Let x = 4 + -1.5. Let u = x - b. Is 2 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 141 - 146. Let h be (-1 + 0)\/((-15)\/6). Which is the biggest value? (a) 0.3 (b) h (c) t (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/3)*z**(-1\/6)*z)**(-3\/13)*((z*z\/z**(2\/3))\/(z\/(z**(1\/4)*z)))\/((z*(z\/(z**2*z))\/z)\/(z*z**(1\/3))) assuming z is positive.\nAnswer: z**(53\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -8 - 3. Suppose -d*l + 5*l + 78 = 0. What is the remainder when 23 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13074 - 13071. Factor 14\/9*v**2 - 8\/9*v**r - 4\/9*v - 2\/9.\nAnswer: -2*(v - 1)**2*(4*v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 3\/5, 3, 2.63, 0.5 in decreasing order.\nAnswer: 3, 2.63, 3\/5, 0.5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-63))\/(6\/(-42)*14\/(-7))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 34, 4, 2 in increasing order.\nAnswer: -1, 2, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 37862.66mg?\nAnswer: 0.00003786266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3222, -12914, -29068, -51684, -80762, -116302, -158304?\n\"Answer: -3231*o**2 + o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w + 30. Determine m(-43).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -6*d - 9. What is u(5)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-48)\/(-9)*51\/4. Suppose 5*n - 2*n = -2*t + b, 144 = 4*t + 4*n. Suppose -a - 44 = -5*a. Calculate the remainder when t is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 6 = 0, -4*i + 3*c + 2*c + 8875 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) - (sqrt(468) - (sqrt(468) - sqrt(468)*4)*-3))*-4*-6)**2.\nAnswer: 21835008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1803455333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, k: 7, w: 1, q: 1, c: 1, o: 2}. What is prob of picking 1 o, 2 k, and 1 w?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 6*y - 3. Let g be u(-7). What is the common denominator of 2 and -1*5\/10 + g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 - 13.3. Suppose -35*o + 33*o = -116. Let c = 58 - o. Put c, p, 5 in descending order.\nAnswer: 5, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/44 and 67\/184?\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 + 55. Suppose -k = -x*k + 18. Which is the closest to -0.2? (a) 5 (b) k (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19994a0 (base 11) in base 5?\nAnswer: 1330142422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71626*c**3*w**2 + 8596*c**3*w - 31*w**2 + 87*w wrt w.\nAnswer: 143252*c**3 - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 33. Suppose -2*c + y = -12. Calculate the remainder when ((-58)\/4)\/(2\/(-4)) is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 354*y**5 - 22*y**2 wrt y?\nAnswer: 21240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253 - 75 = 102*c - 111*c + x, 113 = 3*c + 2*x + 13 for c.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 49\/90*b**6 - 10\/9*b**3 + 2\/3*b**2 - b + 2 - 1\/12*b**4 + 7\/6*b**5. Factor c(d).\nAnswer: (d + 1)**2*(7*d - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 72\/42 + (-20)\/(-70). Suppose 5*u = -x + 5935, p*x = 3*x + 5. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.2 in -4, 3, 0.02, 1\/7?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -3*t**4 + 342*t**3 - 675*t**2 + 336*t = 0.\nAnswer: 0, 1, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 27c + -3?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -1 + 2)\/(1 - 0). Suppose 3*r = h*r + 88. Suppose -8*k + 3*u = -3*k - 162, -u = 4. Calculate the remainder when r is divided by k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 202*y**2 - 697*y - 14926. Calculate l(-205).\nAnswer: 1884","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/7))**(1\/20)*(u*(u**(-2\/17)*u)\/u)**38)**(-39) assuming u is positive.\nAnswer: u**(-1556763\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84791952 and 504.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2 - 49*g + 34. What is f(-25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(6)\/sqrt(3))**2 - ((sqrt(2) - -1*sqrt(2)) + -5)**2.\nAnswer: -22 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*t**2 + 0 + 1 + 2*t**2 + (-5*t**2 + 0*t**2 - 7*t**2)*(-5 + 2 - 2) to r*t + f + v*t**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2160) - 3*(sqrt(2160)*-2 + sqrt(2160)))\/((sqrt(5) - (sqrt(20)\/sqrt(4)*-3 - sqrt(5))) + -3*sqrt(45)) + -2)**2.\nAnswer: 48*sqrt(3) + 436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7822920283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 537391 and 1004.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -686367513 + 24*d + 686367513 + 26*d.\nAnswer: 50*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-25)*(-7 + 6). Put 1, t, 0.2 in increasing order.\nAnswer: t, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114905, -114895, -114879, -114857, -114829, -114795?\nAnswer: -114755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24 and 5.6?\nAnswer: 134.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -5. Let s = 1.9 - i. Suppose 3 = 3*v - 0. What is the second smallest value in v, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -224\/925 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 30 = 5*c, -2*x - c + 6*c + 35 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 242 and 15598.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 q when two letters picked without replacement from {z: 4, d: 2, v: 1, q: 2}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 190 = c. Calculate the remainder when c is divided by (-144)\/(-10) - (-2)\/(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187 = -5*n + 16*x, -31*x + 63*x - 33*x - 153 = 5*n for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 5*y + 7. Let g be t(6). Let z = g - 2. Let b(i) = -12*i**3 - i**2 - i - 1. What is the units digit of b(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.145 rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -367637\/1888295 - -1\/10207. Let i = -76489\/5 - -688226\/45. Calculate the common denominator of i and a.\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(190) + 2*sqrt(190)*-3))\/(sqrt(120)\/(sqrt(12)*-2)*2))**2*3*6.\nAnswer: 307800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -1\/6*l**3 + 12*l**2 + 73\/6*l**4 + 0 + 0*l. Is f(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 0*n**2 + 3*n**2 - 19*n - 2 - 13*n**2 - n**3. Calculate the least common multiple of 54 and p(-8).\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*x - 3 = 5*x, -5*x + 21 = 2*o. Suppose -o*m = -5*y - 24, 4*m - y = -0*m + 15. Calculate the remainder when (75\/(-9))\/(m\/(-9)) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1025 is divided by 69?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4792795 divided by -4.\nAnswer: -4792795\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 918600034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52.4 - -52. Which is the closest to 2\/7? (a) w (b) 0.5 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.6 - 0.6. Let f = 5.1 + -5.4. What is the closest to 0.1 in f, w, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**6\/360 - y**5\/40 - y**4\/4 - y**2. Let i(q) be the second derivative of u(q). Let j be (-171)\/36 + (-1)\/4. Give i(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10555718 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7504025 to the nearest integer?\nAnswer: 2739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 353258371 to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**3*x**3 + 13161*p**3*x**2 + 8*p**3 - 362*p**2*x**3 - 119*x**3 wrt x?\nAnswer: 6*p**3 - 2172*p**2 - 714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*l**2 - 128*l**2 + 90 + 49.\nAnswer: -8*l**2 + 139","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tn when two letters picked without replacement from mnhhhxpnhmtnxnh?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 12, -3*m + 840 = -4*v + 5*v. Suppose 0 = -4*b + 5*a + 501, -27*a - 373 = -3*b - 26*a. Calculate the highest common factor of m and b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8490084245*q**2 + 619341210*q + 11295045.\nAnswer: 5*(41207*q + 1503)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*k - 9. Suppose -k*o - 12 = 4*m - 163, -m = -5*o - 9. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 11*v + 26. Let q be z(2). Solve q*c + c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)*5)\/sqrt(10) + ((sqrt(90)\/sqrt(5))**2 - sqrt(2)) - (4*sqrt(8)\/(-5*sqrt(32)\/sqrt(8)))**2.\nAnswer: 4*sqrt(2) + 418\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**2*j)**(-2\/19))**5 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 38100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 6*f**2. Let k(l) = -399269*l. Give k(y(n)).\nAnswer: -2395614*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 14*x**2 - 5*x - 9. What is the tens digit of a(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.159 times -1575.8?\nAnswer: 250.5522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 8*q**2\/9 + 3430*q\/9 - 243412\/9 = 0.\nAnswer: -1963\/4, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 12:28 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**5\/60 + z**4\/6 - 5*z**3\/3 + 5*z**2. Let x be y(-7). Is 10 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 2:13 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 261.7 - 259.7. Let k(f) = 2*f + 32. Let o be k(-17). Which is the third biggest value? (a) 0.4 (b) h (c) 1\/23 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-206)\/4326)\/(4\/280).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -18, 0 in decreasing order.\nAnswer: 0, -18, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -10*w**2 + 2*w + 7. Let i(y) = -5*y**2 - 1. Let u(d) = -3*d**2 - 1. Let q(o) = 2*i(o) - 3*u(o). Calculate -h(c) + 6*q(c).\nAnswer: 4*c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31463754 is divided by 18443?\nAnswer: 18439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12659447729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23.08 + 23.28. Which is the biggest value? (a) o (b) 3.2 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 16*o**2 + 15*o + 26. What is the tens digit of m(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 5.4, -282, 0.5, -3, 0.53 in ascending order.\nAnswer: -282, -3, -0.4, 0.5, 0.53, 5.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 9*t - 41. Let b be d(5). Let n = -2 + 19. Let q = -12 + n. Sort q, 1, b in decreasing order.\nAnswer: q, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g**2 - 2*g - 2. Let s be u(-1). Let o be (97 - (2 + s)) + -3. What is the greatest common factor of 64 and o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + -3. Let m = v - -3. Let o = -1.1 - m. What is the closest to 2\/5 in o, 1, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -2, -3, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + 348aca2?\nAnswer: 348ac99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/20456 and -65\/32?\nAnswer: 81824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1228987817.\nAnswer: 17, 4252553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 118*g**3 + 11*g**2 + 2*g - 37. Let p(a) = -59*a**3 - 5*a**2 - a + 16. What is 3*h(x) + 7*p(x)?\nAnswer: -59*x**3 - 2*x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 203 - 202.936. Let l = y - 0.063836. Round l to 5 decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (59\/236)\/(1\/48).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -4\/7, -0.2, -0.149, -6 in decreasing order.\nAnswer: -0.149, -0.2, -1\/2, -4\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k + 2. Suppose -58 = -2*j + 78. Let u be 92\/(-22) + 4 - j\/(-11). Give w(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**2 + 20*d + 21. Let b(q) = q**2 - 10*q - 11. Let v(p) = -7*b(p) - 3*k(p). Let z be v(11). Solve 0 = -z*j + 7*j - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 9) to base 11.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 5 = -2*d, 0 = 5*l + 880 - 895 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11030648?\nAnswer: 2, 1378831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.113524455 rounded to 6 decimal places?\nAnswer: -0.113524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -4, -0.2, -6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(1152))\/(sqrt(36)\/(sqrt(6)*-1*-3)).\nAnswer: -192*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (105\/4)\/((-2863)\/(-1636))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/2*(12 + -6). Suppose -i = -3*q - 2*i + 3, -t*i = -3*q + 15. Suppose c - 6 = 4*k, q*c - 3*k = -3*c + 47. Solve 3*p = -j - j - c, -5*p = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 264982609?\nAnswer: 1059930436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**4\/72 + 185*j**3\/18 + 34225*j**2\/12 + 152*j. Let g(n) = 0. What is n?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9287736 by -1160967.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 66.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -2)\/(18\/(-45)). Suppose f = -4*n + 1. Let w be 6 + n\/2*6. Solve -5*h + 2 = 5*g - 4*g, 4*g = -w*h + 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 7*h**4 + 20*h**3 - 7*h**2 - 23*h + 3. Let z(a) = 48*a**4 + 140*a**3 - 48*a**2 - 160*a + 20. Let g(o) = -20*s(o) + 3*z(o). Solve g(m) = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51480*l - 102962*l + 51474*l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-6*(sqrt(245) + 0 - (4 + sqrt(30)\/sqrt(6))))**2.\nAnswer: -10368*sqrt(5) + 42336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 19*y**2 - 2*y - 4. Let s(l) = -l**2 + l + 2. Let x = 38 - 34. Let c(j) = x*s(j) + 2*i(j). Let g(t) = -5*t**2. Determine c(g(z)).\nAnswer: 850*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2428 is divided by 1210.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.15 in 0.1, -20, -120, 186?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -35?\nAnswer: 17.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 125 - 6. Let a = 49 + i. Suppose 5*b = -2*p + 73, -3*b - a = -4*p - 9. What is the remainder when 192 is divided by p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1053\/585*4\/(-6).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 5:12 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 25 - 1ab?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 3:48 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -202001 (base 5) to base 3\nAnswer: -22220210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -2\/65 (c) 2 (d) 19\/5 (e) -8.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9454162 divided by -30\nAnswer: -4727081\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of n**6\/3780 - n**5\/315 + 7*n**3\/3 + 143*n**2. Let f(l) be the first derivative of c(l). Factor f(o).\nAnswer: 2*o*(o - 4)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q**3 - 2*q**2 + 1. Let i be v(1). Let r be (i\/2)\/(2\/84). Calculate the greatest common divisor of r and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14.5 - -384\nAnswer: 369.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 195632013 and 18.\nAnswer: 1173792078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 5649221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n + 3. Let o be h(3). Suppose 2*b = -o + 17. Find the second derivative of -6*d**2 + 63*d - b + 1 - 66*d wrt d.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7693823 is divided by 2966?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -21 + 14 + (-2 - -10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 9*h**5\/2 + 2*h**4\/3 + h**2 - 103*h. What is the third derivative of c(b) wrt b?\nAnswer: 540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24177*c**6 - 8062*c**2 wrt c?\nAnswer: -2901240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 41*l**3*m - 318*l**3 - l**2*m - l**2 - 16*l*m + 2*l wrt m?\nAnswer: 41*l**3 - l**2 - 16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63 + 203*j - 161*j + 62 - 123.\nAnswer: 42*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 712643 = 712643?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7591000 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -355\/3, -3139, 3, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-4) + 6\/(-28). Let z be (-6918)\/135 + 1\/(-5). Let h = -51 - z. Sort q, -0.4, h in decreasing order.\nAnswer: h, q, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -169805?\nAnswer: 84902.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 671 + -1460. Let j = s + 791. Which is bigger: -1\/27 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -6. Let k = l - 6. Solve 0 = 4*z - 3*a + 12, 2*z + k*a = a - 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16 + 3)*(-1)\/(-1). Suppose 21*v - 116 = h*v. What is the remainder when v is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 414, 395, 358, 297, 206, 79?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r - 2377 + 2427 = 0. Solve -3*b - 9 = 3*t, 3*t + 11 = -r*b - 8 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.268 + 5.168. Which is the second biggest value? (a) 1\/3 (b) z (c) 26\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5 - 5 + x**2 - x + 1. Let g(l) = -3*l**2 + 3*l. Calculate g(f) + i(f).\nAnswer: -2*f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*a + 5*a - 8*a)*(6 - 2 - 3)*(-3*a - 5*a + 3*a) as v*a**2 + s*a + b and give v.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 48893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 360\/(-891) - (-14)\/63.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 36\/15)*20. Suppose 0 = 5*x - 15, -4*l + 5*x = 11 + r. Which is bigger: l or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 62*n - 342. What is the greatest common divisor of 1626 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -196*s**3 + 312583684*s**2 + 89309636*s + 6379260.\nAnswer: -4*(s - 1594815)*(7*s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*w - 306 = 0. Calculate the remainder when w is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -271972*h**3 + 104306 wrt h?\nAnswer: -815916*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**6)**(-18\/13) assuming o is positive.\nAnswer: o**(-108\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1742426 is divided by 435534?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.4731 + 183.5269. Let q = -77\/18 + 9\/2. Which is bigger: q or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 - 22. What is the closest to 2 in 2\/11, 2\/5, -2\/9, l?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151731*s - 7558*s + 89152*s.\nAnswer: 233325*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18676341 and 12?\nAnswer: 74705364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbbsjbbsbsbjs.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by -600?\nAnswer: -11\/200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -419775028*k**4 + 18*k**2 - 3925*k + 114 wrt k?\nAnswer: -10074600672*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 29*y**2 + 822*y + 1091. What is u(-27)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**5 - 492*g**4 + 10440*g**3 - 34144*g**2 = 0. Calculate g.\nAnswer: 0, 4, 22, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*(((2 + sqrt(891) + 1 - sqrt(891)) + -1)**2 - (4 + -3*(sqrt(99))**2 + -1 + sqrt(11)*-2)).\nAnswer: -1791 - 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 + 47. Let y be q\/((-2)\/3)*-1. Suppose -s = -18 + y. What is the highest common divisor of 135 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 356828530, 356828532, 356828534, 356828536, 356828538?\nAnswer: 356828540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 7*q**2 + q. Suppose 2*g - 36 = -7*g. Suppose 93 = w - g*w. Let r = w - -24. What is x(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + i - 4*b + 8 = 0, 4*b - 2 = 3*i. Let c be 5*4\/(-8)*i\/5. Suppose -n - c*n = -60. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9592 is divided by 195?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -49*y**2\/4 - 974428*y - 19377753616 = 0.\nAnswer: -278408\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i + 95 = 39 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 3:47 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -38187480?\nAnswer: -1\/7637496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + (-2*sqrt(84)\/sqrt(6))\/((sqrt(56)\/sqrt(2))\/sqrt(4)))**2.\nAnswer: -16*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/9)*j\/j**(2\/17)*j*(j\/((j**(2\/17)*j)\/j))**(37\/2) assuming j is positive.\nAnswer: j**(5639\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -3, 0, -3396?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3251 is divided by 216?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m - m + m)*(2 - m + 2*m + 0 + (1 - 3 + 1)*(-8 + 8 + 4*m)) to the form y + u*m**2 + k*m and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -5\/4 (c) -0.6 (d) 1\/6 (e) -2 (f) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 5*l**2 - 7*l - 3. Let r be s(-6). Solve r*z + z + 8 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 176178b (base 12) to base 3\nAnswer: 100010122220022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) 0.1 (c) -3\/7 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v = -3286 + 3336, -3*v = 4*k + 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -216, -443, -672, -903?\nAnswer: -1136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*f + 103*f - 50*f + 19.\nAnswer: 2*f + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(2106) + sqrt(2106)*-4 + sqrt(2106) + sqrt(2106)))\/(sqrt(242) - (sqrt(242)*2*5 + sqrt(242))).\nAnswer: 9*sqrt(13)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**5 + r**5 - r**5 + (-r**4 - 2*r**4 + 4*r**4)*(4 - 4*r - 4).\nAnswer: -5*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4031, 13122, 27263, 46448, 70671, 99926?\nAnswer: 134207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.3 + 3.3. Let w = -2.79 + -0.21. Let u = w - -3.5. Which is the closest to -0.1? (a) 2\/5 (b) u (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 + 0*j**2 + 0*j**2 + (0 + 2 - 4)*(-6*j - 6 + 6)*(-2*j + 3*j - 2*j).\nAnswer: -11*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3702352 is divided by 1234115?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of ((-16)\/(-10))\/(2\/270)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + p**2)*(-5 + 0 - 6) as i*p + m*p**2 + c and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1333869821 rounded to the nearest 10000?\nAnswer: 1333870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 48124, 96249, 144374, 192499?\n\"Answer: 48125*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**3 - 104*u**2 - 35*u + 24. What is the remainder when n(35) is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -3. Suppose l + w = -3*z, l + 4*z + 8 = -1. Suppose -2*g - l*g = -3*j - 3, 5*j = 3*g + 11. Solve -j = x - 3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5731 is divided by 155.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/18 of a hour?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and 1671?\nAnswer: 1675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 35*h**2 - 13*h + 21. Let b(m) = 17*m**2 - 6*m + 10. Calculate -13*b(p) + 6*r(p).\nAnswer: -11*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -458106 divided by 1893.\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 12*l**3 - 4*l**2 + l + 13*l**3 + 2*l**3 + 5. Is j(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 2*k - 28. Let l = 74 + -66. Is k at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 410, 409, 406, 401, 394?\nAnswer: 385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 5*f + 0*f)*(-5794*f**2 + 12214442 - 12214442).\nAnswer: 11588*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1317062 (base 11) in base 5?\nAnswer: 1040404430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 6*l**2 - 10*l + 22. Let o be f(5). Let u(v) = 2*v + v - 4*v + 4*v + 3. Give u(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.32, -158, -0.03?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence db when two letters picked without replacement from ldhbl.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (82 + -104 - (-6 + 1)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-678 - 392 + 87)*(-3*a + 1 - 1).\nAnswer: 2949*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5*r - 5674 = 0, 311 - 305 = -r. What is the greatest common factor of 17 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -34*t**3 - 4*t**2 + 105*t + 567. Calculate h(-6).\nAnswer: 7137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -158967*l**6 + 3*l**3 + 1601*l**2 + 2*l - 4 wrt l.\nAnswer: -19076040*l**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 0. Suppose 0 = -w*m - 2*q + 53, 0 = -m + 3*m + 2*q - 26. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7810872137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3134364 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156\/(-468)*((-6)\/(-3))\/2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1630 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = 7*a - 56. Let f be ((-4)\/a)\/(424\/371). Suppose 0*o - f*o**3 - 5\/4*o**4 + 0 - 1\/2*o**5 + 1\/2*o**2 = 0. What is o?\nAnswer: -2, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/2)\/((2\/23)\/1*460\/240).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/96 and -53\/884320.\nAnswer: 2652960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 29 = -z, -8765*w + 8764*w + 12 = -2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -2*y**2 - 3*y + 1. Suppose -13 = 4*i + 11. Let a be i\/(-2) + -1 - 4. Give x(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 2*u + 10, -3*u + 5 = -3*d + 4*d. Calculate the lowest common multiple of 18 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1161642, 2323286, 3484930, 4646574?\n\"Answer: 1161644*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-158)\/(-16) - 10\/(-80). Solve -37*y + 35*y = m for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1836167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, t: 2, z: 1, b: 2}. Give prob of picking 2 t and 1 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/41494 and 29\/4315376.\nAnswer: 4315376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - 15*n + 40 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/15*9\/(-2). Let z = 0.04 + -0.44. Let b = -305\/6 - -51. What is the second smallest value in x, z, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3263 + 6522. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -5*x + 11, -3*x + 3 - 1 = 4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 876 and 4234.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2, 5\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 876 - 507. Let f = c - -4478. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16171731 (base 8) to base 4\nAnswer: 32033033121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.4 + -10. Let h = t - -3.215. What is h rounded to two dps?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 73*j**3. Let d be p(-1). Let u = -367\/5 - d. Let r = 31 - 34. Which is the closest to -2\/7? (a) 0 (b) r (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/9)\/(z**(5\/3)\/z)*z**(1\/2)\/z**(-5))\/(((z*(z*(z**0\/z*z)\/z*z)\/z)\/z)**1*(z*z*z\/(((z**1*z)\/z)\/z)*z*z)**(2\/41)) assuming z is positive.\nAnswer: z**(3223\/738)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178 - 303*h + 522 + 101*h - 170 - 177.\nAnswer: -202*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -180*t**5 - 464700*t**4 - 15877865*t**3 + 39257390*t**2 - 11754035*t + 942390 = 0. What is t?\nAnswer: -2547, -37, 1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -17982 divided by -8991?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19015, 38027, 57039, 76051, 95063, 114075?\n\"Answer: 19012*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i - i + 2*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 1:14 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -196 - -199. Suppose -5*n - 1108 = -s*m - 0*m, 5 = 5*n. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z + 2*z - 7*z)*(13 - 13 + 39*z**3) as j*z**2 + f*z**4 + o*z**3 + k*z + t and give f.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18.7 - 18.4. Which is the closest to -1\/4? (a) 1\/3 (b) s (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-5)*(-255)\/(-3). Let z = -34 - n. Suppose z = v + 12 - 67. List the prime factors of v.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -428 - -604. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23114346 + -17?\nAnswer: -23114365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 9 (b) -2\/7 (c) 5 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/3 + 37*n**2\/3 + 638*n\/3 + 200.\nAnswer: -(n - 50)*(n + 1)*(n + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 4*k**2 - 3*k - 9. Let q be x(5). Let r be 3 - 5 - q - -1. Let y(j) = -2*j + 2. What is the remainder when 17 is divided by y(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -18*f - 181. Calculate y(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(2) - sqrt(20)) + -2 + -3*(sqrt(5) + -1 + sqrt(5)) + sqrt(500)*2 + 4.\nAnswer: 5 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10529\/29 + -363. Let z(h) = h**3 - 7*h**2 + 6*h + 6. Let u be z(6). Let x = u + -2. Put 0.3, x, d in increasing order.\nAnswer: d, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001107 rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32189 + -0.1.\nAnswer: -32189.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*w + 150*w + 4*k = 42, 6*w - 3*k = -4*k - 33 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ao when two letters picked without replacement from {a: 8, o: 3, d: 7}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 230528 a multiple of 758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 599, 3 in descending order.\nAnswer: 599, 27, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*b - 4410 = -23*b. Let h = 11 + -4. Let j(r) = r**3 - 7*r**2 + 5*r - 4. Calculate the remainder when b is divided by j(h).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -3*t**2\/2 - t + 2. Calculate the remainder when f(-5) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27.6 + -28. Suppose 0 = -v - 2 - 1. Which is the nearest to -1? (a) w (b) v (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -27. Let x(f) = -2*f**2 + 3. Let k be x(3). Let m = q - k. Solve 2*s = m*t - s + 17, -2*s = -4*t - 14 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -114, -172, -244, -342, -478?\n\"Answer: -2*g**3 + 5*g**2 - 59*g - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**3*j**2 - 801817*a**3*j + 4*a**3 - 6*a**2*j**2 + 6655*a**2*j - 10*j wrt a?\nAnswer: 6*j**2 - 4810902*j + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 1:16 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20 or -3721\/175?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 9*j**2 + 7*j - 62. Let z(t) = -21*t**2 - 15*t + 125. Let d(x) = 5*p(x) + 2*z(x). Calculate the remainder when 119 is divided by d(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 12*p - 6. Let n be x(4). Suppose -4 = 2*z + n. Let h = z - -56. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3256578.\nAnswer: 2, 3, 13, 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3))**(6\/13)*(c\/c**(1\/3))\/c**(-9) assuming c is positive.\nAnswer: c**(323\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.027 - -0.027. Let j = u - -4.062. What is j rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0\/a*a*a*a)**(1\/10)\/(a**(-8)\/a*a**(-1)*a) assuming a is positive.\nAnswer: a**(46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 3*k**2 - 18*k - 5. Let x be (-2)\/(-4)*-6 + 16. Let u be a(x). Let z = -3749 - u. What is z rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 4. Let t(w) = w**2 - 8*w + 5. What is the remainder when t(m) is divided by 6 + -5 - (-6)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 1 + 3. Solve 3*q + 25 = -x*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*y - 95936 - 96052 + 191988.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 2\/637, -3\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 200\/(-320)*(-71)\/(-71).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 662003?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327508886?\nAnswer: 2, 163754443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5806717\/261 + -22248. Calculate the common denominator of z and -13\/30.\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((((c*c**(-2\/7))\/c)\/c*c)\/c))**(3\/16)\/(c*c**(1\/8)*c\/c**0))\/(c**(-5)\/(c*c**(-2\/7))*(c\/c**(1\/2)*c)**(3\/17)) assuming c is positive.\nAnswer: c**(3573\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 13*q**2 + 12*q - 17. Calculate v(10).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - d - 4, 0*d = -3*y + 5*d + 4. What is the highest common divisor of y and 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 2*o**4 + 2*o**2 - o**3 - 2*o + 2 + o - o**4 to the form r*o + x*o**3 + f*o**2 + c*o**4 + p and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from coaicipiiaiiia. Give prob of sequence cpi.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/57*((-3360)\/75)\/224\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2*k - 4*p + 484, 97 = k + p. Suppose -7*d = -4*d - k. Is 16 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111220 - -201121122?\nAnswer: 201002202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2249, -5119, -8015, -10931, -13861, -16799, -19739?\n\"Answer: x**3 - 19*x**2 - 2820*x + 589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -7*c**4\/4 + 3*c**2\/2 + 11994. Let y(p) = 36*p**3 - 16*p. Suppose m - 4 = -1. Determine m*y(s) + 16*q(s).\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 129*(-2 - 14\/(-6)). Let b(d) = 3*d**2 + 3*d - 47. Let s = -121 - -126. Let l be b(s). Is n <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 11. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-154)\/(-13) - (-14)\/91. Suppose -5*y - 2 + 12 = 0. Is (y - d)*(-6)\/12 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + 4. Suppose 0 = -4*t + 35 + o. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-6)*a*a**(-2))**(8\/11)\/(((a**(-4)*a)\/a*a)\/(a**1*a))**48 assuming a is positive.\nAnswer: a**(2592\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7296 and 1162344?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h**3 - 2*h**2 - 4*h + 2. Suppose 0 = 2*r - 3 - 7. Let k(b) = 5*b - 6*b**3 - 14*b + 5 - 5*b**3 - 4*b**2 + 2*b**3. Give r*a(j) - 2*k(j).\nAnswer: -2*j**3 - 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 33 = -39. Let q(y) = y**2 - 5*y + 2. Let i be q(6). What is the greatest common factor of a and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -377 + 567. Calculate the highest common divisor of 1216 and k.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-156)\/(-65)*(-2)\/6*10\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*m**4 + 5*m - 6*m**4 + 6*m**4 wrt m.\nAnswer: -168*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - 0. Let g be 2 - (2 - 0)\/h. Find the first derivative of -2*z**3 + g*z**3 - 2*z**3 + 1 wrt z.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/36 - 41\/192. Is 0 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7926 + 7990. What is the greatest common divisor of q and 7552?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**5 + 2*k**5 + k + 0*k**5 + (5 - 5 + 7*k)*(-27*k + 27*k + 4*k**4).\nAnswer: 29*k**5 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4246 and -0.29.\nAnswer: 1231.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**3 + 260*i**2 + 8274*i + 77616 = 0. Calculate i.\nAnswer: -88, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1287)\/4719)\/((-1)\/(-5)*25\/10).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 185 + -181. Suppose 5*s - 3*i - 7 = 0, -4*s + 0*s - 4*i - 20 = 0. Let n be (-4)\/70*5*s. What is the second smallest value in n, j, -0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1311500139 to the power of 1\/3, to the nearest integer?\nAnswer: 1095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 5*x - 13. Let u be ((-2)\/8)\/(55\/(-1980)). Give h(u).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -521302 (base 7) in base 15?\nAnswer: -1b704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 9 = -3*s, -101*y + 100*y - 4*s = 3. Which is the closest to 2\/5? (a) 27 (b) -3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -7*o + 218. Let m be k(30). Suppose m*j + 3 = 27. Solve 4*d - j*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-650)\/(-160) - (-2)\/(-32). Solve 247 - 247 = k*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 36*y**2. Let n(i) = -3*i**2. Let v(q) = -3*j(q) - 45*n(q). Let w(f) = 3*f**2. Calculate w(v(b)).\nAnswer: 2187*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u = 13*u. What is the closest to u in 2\/7, 2\/9, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283345?\nAnswer: 5, 61, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qrqqqqrqqqqr. What is prob of picking 3 q and 1 r?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -25. Let j = 25 + k. What is the smallest common multiple of j and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76 (base 11) to base 12.\nAnswer: 6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**5\/10 + f**4\/2 + f**3 + f**2 + 4*f - 2. Let k(x) be the first derivative of r(x). Factor k(w).\nAnswer: 2*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 5*i**4\/12 + 17*i**3\/3 - 5*i**2\/2 - 1766*i. Determine n(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0165918692 rounded to three dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -2*i - s + 50, -2 = -4*i + s for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*n - 218 = -1042 - 604 - 560 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 36667 - (22\/44)\/(2\/(-4)). Suppose 18*x - 17314 - a = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 + 1222?\nAnswer: 2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 552645468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 206*u - 1557. Calculate the remainder when a(9) is divided by 79.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -849\nAnswer: -169.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21757*t + 43489*t + 392 = 21746*t for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/33925997 or 0?\nAnswer: 2\/33925997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1030 and 173257742.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**1*k*k*k**(-8))**(10\/7) assuming k is positive.\nAnswer: k**(-40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.9 + 2. Let u(z) = 3*z + 20. Let m be u(-11). Let f = 13 + m. Which is bigger: f or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 158 divided by -117791\nAnswer: -158\/117791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9659670 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3695701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 7*u**3 + u**2 - u - 1. Let y be h(1). Let f(g) = g**3 - 5*g**2 - 7*g + 12. What is the lowest common multiple of 14 and f(y)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 167 + -60. Let d = -201 + w. Which is smaller: d or -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-1*sqrt(13)*1.\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 18*t + 20*t = -120 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -18, -14, -3, 0.23 in descending order.\nAnswer: 0.23, -2\/11, -3, -14, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (64 + 43) - -209.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32872861?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8\/3 + 3. Let l = -0.04 - -0.54. Which is the second smallest value? (a) -0.5 (b) p (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295 a factor of 40440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5203.099916673 - 5203.1. Round t to 6 decimal places.\nAnswer: -0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 8\/9 (b) -1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -12, -2*c - 3*j - 8 = 2*c. Solve 3*f = -14 - c for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1368 and 361?\nAnswer: 25992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 357 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5\/11))**(1\/2)*z**33\/(z*z\/(((z*(z**(1\/10)\/z)\/z)\/z)\/z*z)) assuming z is positive.\nAnswer: z**(1588\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 880*c**3 + 15*c**2 - 536*c - 3. Let r(q) = 7*q**3 + 5*q**2 - 1. Let p(b) = 2*g(b) - 6*r(b). Find the second derivative of p(f) wrt f.\nAnswer: 10308*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 5)*(b - 2 + 2) - 4*b + 10*b - 9 - 7*b.\nAnswer: -3*b - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 + 6*m - 15. Suppose -4*s - 2 = a - 1, -4*s - 13 = -3*a. Is u(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 420201.\nAnswer: 3, 79, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 570\/(-510) - (-6 + -6)\/12.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 m when two letters picked without replacement from avvamamvaaamav.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -497 + 1124. Does 19 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 399 and 1938.\nAnswer: 13566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -15*s + 20*s - 40, 4*p = -5*s + 37. Sort 2, -2\/17, -4, 10, s in descending order.\nAnswer: 10, s, 2, -2\/17, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 16\/7, -1\/6 in increasing order.\nAnswer: -1\/6, 16\/7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 5*j - 74220, -k - j + 16185 + 2370 = 0. List the prime factors of k.\nAnswer: 3, 5, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddd. What is prob of picking 3 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/115717 and 71\/6?\nAnswer: 694302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 719948.4 millilitres?\nAnswer: 719.9484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/6*(-63)\/14 - (-159)\/(-51). What is the fourth smallest value in 0.5, 10, -1, u, -3\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 + 65*b + 65. Let g be j(-1). Solve 0 = -v - g*i + 3, i - 15 = 8*v - 13*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -40990 to the nearest 1000.\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -29*t**3 + 101*t**2 + 2173*t - 6644. Calculate z(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45.69 + 46. Let j = -0.59 + g. Let u = j + 0.28. Which is the nearest to 0? (a) 3 (b) u (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27\/2 + -181\/14. Let c = 1 + -4. Let z = c + 4. Put 0.2, z, q in increasing order.\nAnswer: 0.2, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -p + 5*p + 140, 28*z = -44*z + 67*z - 3*p - 167 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (-1 + (1 - 2)). Let q be 142\/x + 1\/(-2). Suppose 0 = -5*k - 4*d - 5 + 18, -k - d = -2. Calculate the greatest common factor of q and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7485 + 7513 = -4*y, 24 = -j - 4*y for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29535 - 29534.93. What is the closest to 0.1 in -2\/7, 1, s, 57?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/11 or 215?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 6:25 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l - 70052 - 330838 = 0. Let h = l - -2006. Round h to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 3*i + 0*i + 4*i + 4*i**3 + 1. Let s be y(-1). Let z = s + 38. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*d**3 - 16*d**3 - 17*d**3.\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -160744684*m*o**3 + 205*o**3 + 35*o**2 - o - 106 wrt m.\nAnswer: -160744684*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 328328 + -23311292\/71. Suppose -4*k - 2 = -2*k. Which is smaller: k or x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*h**2 - 3*h**5 - 12 + 12 wrt h.\nAnswer: -180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56058421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 3*y - 14 = -y, -2*y = 4*u - 10 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/((-200)\/(-15))*-10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0 = 16. Suppose 2 = -2*k + 3*k - z*q, 0 = -5*q + 25. Factor 8*s**4 - 4*s + 11*s**5 + 15*s**5 - 8*s**2 - k*s**5.\nAnswer: 4*s*(s - 1)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v - 4. Let r be g(3). What is the nearest to 0.1 in -1, r, -7\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3421583 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v - 10. Let b be o(-8). Let m be (61 + -6)\/5 + b. Solve -u + 0 = -1, 0 = -3*h - 2*u + m for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1477 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: Let j be 4*(-18)\/(-12) + 22. Find the third derivative of 15*f**3 + 16142 - 16142 + j*f**2 wrt f.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**4 + 57 - 172 + 27 + 2*w + 2*w**2 + 25 + 25 to z*w + i*w**4 + k*w**3 + d*w**2 + g and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 7*d - 54. What is r(0)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 32653494?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 157338 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2805\/7 + 16375\/42. Is -11 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*i = -36*i + 12*h - 194, -58 = -3*i - 4*h for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1950 and 273.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(252) + (-1*sqrt(63))\/sqrt(9).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a**3 + 98*a**2 + 26*a + 83. Is d(-35) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 7*n**2 - 2*n. What is m(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 7*k - 4. Let a be n(6). Suppose a*y = 4 - 0. Suppose -4*b + y*p = -94, -b + 36 = -0*p - 3*p. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 25*u**2 + 9*u + 13. Give d(2).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 750.8151 to the nearest ten.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -35*m**4\/12 - 75*m**3 + 65*m**2\/2 - 2817*m. Factor q(c).\nAnswer: -5*(c + 13)*(7*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**3*p**2*w**2 + 46*k**3*p**2 - 2*k**2*p*w**2 - 2*k*p**2*w**2 - 21*k - 3*p*w**2 wrt k.\nAnswer: 6*p**2*w**2 + 276*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 620515438?\nAnswer: 2, 310257719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v + 3. Let m(f) be the third derivative of -f**4\/4 - 2*f**3\/3 - 11*f**2. Calculate 5*j(d) + 4*m(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 7*o + 8. Let c be y(-6). Let s(w) = 3*w + 2. Let p(h) = h**3 - 8*h**2 + 2*h - 5. Calculate the smallest common multiple of s(c) and p(8).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 + 2)*(z**2 - 2*z + 2*z)*(-4 + 4 + 12) + 4*z**2 + z**2 - 4*z**2)*(4 - 3 + 2*z + 0).\nAnswer: 98*z**3 + 49*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, d: 11, q: 3}. What is prob of picking 2 d?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 590*v**4 - 12*v**2 + 12*v - 252. Let q(t) = t**4 + t**2 - t - 2. Let k(d) = l(d) + 12*q(d). Differentiate k(s) with respect to s.\nAnswer: 2408*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/11))**(-3)\/(v**(-2)\/v*v*v*(v*v\/(((v**3\/v)\/v)\/v)*v)\/v*v))**9 assuming v is positive.\nAnswer: v**(-144\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -3\/4, -0.01, 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 - 73*o - 5 - 14)*(10 - 88 - 27) as w*o + z and give z.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/3)\/t)\/t**(3\/4))\/(t*(t**(-1)*t)\/t*t*t**(-1\/4)) assuming t is positive.\nAnswer: t**(-17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 6 - 1, -2*z + 2*f - 2 = 0. Let p(l) = -l**2 - 32. Let n be p(z). Let a = 5 - n. Calculate the remainder when a is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, d: 3, c: 2, g: 1}. What is prob of sequence jd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-97)\/(-436) + 14\/(-56). Is 0 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4023942 times -2?\nAnswer: -8047884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 3*w = 0, 5*w = -4*s + 4. Let b be s\/(((-2)\/8)\/(-1)). What is the third derivative of 3*d**2 + 10*d + d**b - 10*d wrt d?\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13488919783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0.7 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*h**2 + 63*h**2 + 5*h**2.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from mwarjrmrrarmamrmwwr.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2 + (-6*-2*sqrt(1377) - (-2 + sqrt(1377) + -1)) - (-1 + (5 + (sqrt(1377) - (sqrt(1377) + 1)) - sqrt(1377))*5))**2.\nAnswer: -4032*sqrt(17) + 352709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 8*h + 2*x - 218, 0 = -4*h + x + 164. Is h a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - (-5 - 9) - -20 - 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1440244 - -30403?\nAnswer: -1404341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 25*h + 79. Suppose 0 = -5*u - 15, -4*v + 3*v + 5*u + 12 = 0. Let p be o(v). Solve 2*r = -3*q - 6 + 27, -p*q = 3*r - 29 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 3 = 9*p. Suppose -p*d + 20 = d. Is -1 >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 + 11.4. Let x = z + -8.8. Let j = 0.2 - x. Which is the third biggest value? (a) 3\/5 (b) 0.1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**3 - 2*s**2 + 3*s + 7. Suppose -5*k - 40 = 2*l, -l - 52 + 84 = -4*k. Give i(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3*r + 4*r - 137, 0 = 2*r - 4*m - 276. Let l be -5*((-16)\/10)\/2. Suppose r = l*x + 4. What are the prime factors of x?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of y**5 - y**4 + 578*y**3 + 92*y**2 + 8*y - 3.\nAnswer: 60*y**2 - 24*y + 3468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13 - -2496a00?\nAnswer: 2496a13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 19*j**3 + 398*j**2 - 25*j - 63. What is v(-21)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - y + 4 = 0, 2*y - 7 = -d - y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -23675620, -47351246, -71026872, -94702498?\n\"Answer: -23675626*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -50277 or -50041?\nAnswer: -50041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - 2*4*sqrt(119))\/(sqrt(7) - 1*sqrt(1008) - sqrt(7)).\nAnswer: 7*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3 - 5 = 0. Let y = -0.2 + 0.3. Let o = 1 + -2. Which is the closest to y? (a) t (b) 1\/7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-14)\/(z*z**(8\/7)*z*z) assuming z is positive.\nAnswer: z**(-127\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zrr when three letters picked without replacement from {r: 13, s: 1, z: 3}?\nAnswer: 39\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*g**2 + 234*g**3 - 448*g**3 - 122*g**2 + 217*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 - 3)*(21*d**2 - 8*d**2 + 6*d**2) + 13*d**2 - 909 + 1820 - 908 in the form s*d + y*d**2 + c and give y.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2068*q + 19528 - 28270 = 123610 for q.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -1338.\nAnswer: 5\/1338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyqyyy. Give prob of picking 1 y and 1 q.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k + 10. Let z be m(-8). Let d be 4 + 0 + 4 + z. Solve 0 = -3*q + d - 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -3 - 6*15\/(-10). Let s(j) = 4*j - 2 + 10 + 2*j**3 - j**3 - 7*j**2. Determine s(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/7))**(15\/4)\/(c**(-7\/3)\/(c\/c**3)))\/(((c\/(c**(-1)\/c))\/(c\/(c*c*c**(-1\/7))))\/((c*c*c*c**0)\/c**(-4))) assuming c is positive.\nAnswer: c**(191\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 + 31. Let x = m - -24. Let p = -4.4 + x. What is p rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - n + 25 = 0. Suppose 0 = f - k, -4*k + 0 = -n*f + 5. Let o = -0.05 - -2.05. Which is the closest to 0? (a) 0 (b) o (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186.5125 centuries in years?\nAnswer: 18651.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -10. Suppose 2*n + 2*l + l - 14 = 0, 2*n = l - 2. Calculate the greatest common factor of n and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 765 = 2*t - 4*n, -2*t = 2*n - 800. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-2)*60\/(-45). Let t(s) = -s + 4. Let d(a) = -1. Let l(k) = f*d(k) + 2*t(k). What is l(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfhhnhkfhhhhkhhhnhh. Give prob of sequence kk.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46932 and 312.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6000 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 1171*j**2 + j**3 - j**4 + 19*j + 1171*j**2 to the form d*j + t*j**2 + a + s*j**4 + o*j**3 and give d.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1375, 1374, 1373, 1372?\n\"Answer: -s + 1376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/179564 and 11\/841004?\nAnswer: 712330388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67.8 + -75. Let m = 8.2 + k. Which is the closest to -1? (a) -1\/5 (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290*c - 6420 = 270*c. Solve c - 41 = -40*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1905*v**2*y**3 + 50*y**3 - 37*y wrt v?\nAnswer: 3810*v*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(2) + sqrt(4)\/sqrt(2) + -4)**2 + sqrt(2) - sqrt(36)\/sqrt(2))*-4.\nAnswer: -192 + 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 0*m**2 - 5\/42*m**7 - 1\/6*m**3 + 0*m**4 + 0*m**6 - 4*m + 0 + 0*m**5. What is the second derivative of w(t) wrt t?\nAnswer: -100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**3 - 4*i**2 - 4*i. Let w(m) = -7*m**3 + 9*m**2 + 9*m. Let l(z) = 5*z - 11. Let x be l(4). Give x*n(q) + 4*w(q).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**5 + 2*p**2 - 2*p**2 + (-2*p**3 - 3*p + 3*p)*(3 - 3 - 5*p**2) + (-p + 4*p - 5*p)*(-4*p**4 + p**4 + 4*p**4).\nAnswer: 9*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 331 - 28ba9?\nAnswer: -28878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2962 (base 16) in base 12?\nAnswer: 616a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w - 31. Let s be x(10). Let i(k) = -k**2 + 11*k + 2. Let o be i(s). Calculate the highest common divisor of 60 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0563465 micrograms to nanograms.\nAnswer: 56.3465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 - 195*w**2 + 2352*w.\nAnswer: 3*w*(w - 49)*(w - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*5\/75*3*5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -491, -1113, -1987?\nAnswer: -3113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60549.9999894548 - 60550. Round h to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 12:31 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1352 by -52.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84171014.\nAnswer: 2, 31, 503, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + -3*sqrt(54))\/((sqrt(40)\/sqrt(2))\/sqrt(10)).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -316, -470, -626, -784, -944, -1106?\n\"Answer: -i**2 - 151*i - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/30 - 8\/(-20). Let f(z) = -2*z**2 - 1. Calculate f(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -8\/11, 1\/4, -240.\nAnswer: -240, -8\/11, -0.5, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 2*f**2 + 2. Let x(t) = -7*t**3 - 13*t**2 + 31*t + 12. Calculate -x(a) + 6*y(a).\nAnswer: a**3 + a**2 - 31*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1 - 0)\/(10 - 7)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -82875\nAnswer: 414375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 13, w: 5}?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2897*n = 3*s - 2903*n - 249, -n = -3*s + 49 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*-1*(-7 - -4). Solve t*f - 8 = 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.468907 and -20.2.\nAnswer: -20.668907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 - -72. Let l = -31 + h. Let q = -75 + 75. What is the nearest to q in -1\/3, -1, l?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5186*p - 5037*p + 894 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10048 is divided by 910.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*t - 3*t + t)*(-t**2 - 2 + 2) - 2*t**3 + 4*t**3 - 5*t**3)*(5 - 5 - t).\nAnswer: 5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 7370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - x + 144886266 = -2*x, 193181704 = 4*q + 4*x. Suppose -q = 28*c + 146864577. Round c to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 13. What is the remainder when 61 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47540008 is divided by 11885000.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -429 times -0.5\nAnswer: 214.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100573 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 81.683 * 2815.\nAnswer: 229937.645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + 5*x + 21, -3*x - 2*x - 346 + 323 = q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 515009046.\nAnswer: 2, 3, 85834841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*3\/(-8)*(-704)\/(-264)*76\/6.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 2*t**2 - 4*t + 6. Suppose 14 = 3*p + 5. Let m be u(p). Solve -2*i + 6 - 14 = -4*q, -4*i = m*q - 28 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1860 = -5492*r + 5430*r for r.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -35130, -84155, -133180?\n\"Answer: -49025*l + 13895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 8*k. Let o be t(8). Factor -4\/5*n + 2\/5*n**2 + 2\/5*n**3 + o.\nAnswer: 2*n*(n - 1)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/42 bigger than 131\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 1, 5, 4 in descending order.\nAnswer: 5, 4, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/7 + -2)\/(7\/(-14)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33975308 to the power of 1\/2, to the nearest integer?\nAnswer: 5829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -2. Suppose -x*i + 16 = -u - 52, 3*i + 53 = -u. Let a = -41 - u. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 8*k + 8. Let m = k + 5. Suppose m = s + 2. Which is greater: 2\/7 or s?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 4:25 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3343506 is divided by 115?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68 - -92. Calculate the highest common factor of 60 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*a + 11, -2*a = -2 - 8. Suppose g*m = -7 + 27. Suppose -m*h - 11 + 31 = 0. Solve -20 = -0*i + h*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -13*u**3 + 2*u + 1. Let l(q) = -q**3 - 6*q**2 + q + 4. Let p be l(-6). Let m(t) = -t**2 - t + 1. Let o be m(p). What are the prime factors of c(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - f?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 9*m**2 - 8*m - 6. What is q(4)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2321770 and 12.\nAnswer: 13930620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2014 = 28903*a - 29009*a for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4761a (base 12) in base 11?\nAnswer: -66086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68)\/119*(-9)\/((-27)\/(-42)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25651 is divided by 242?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 50760?\nAnswer: 50755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*n - 2. Let i(k) = -4*k - n - k**2 - k + k. Let c be 2 + -6 + (-2)\/(-2). What is i(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 6:05 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 314 + -314.3. Let m be 2\/62 + 3 + -3. Put m, -0.4, i in descending order.\nAnswer: m, i, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-17)\/v*v**(-11)\/v*(v\/(v\/(v**(5\/4)*v)*v))\/(v*v**(2\/45)) assuming v is positive.\nAnswer: v**(-5363\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 10*j + 6. Let d be x(-7). Let m = d + 36. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -394337.357 to the nearest one thousand.\nAnswer: -394000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*p + 139 = 35*p - 485 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -7*u**2 + 823*u + 54738. Calculate c(165).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -9*i**4 + 17*i**3 + 9*i**2 - i + 8. Let x(a) = -3*a**4 + 6*a**3 + 3*a**2 + 3. Let f = 3 - 11. Let k(c) = f*x(c) + 3*o(c). Factor k(h).\nAnswer: -3*h*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*u**2 - 21*u**2 - 23*u**2.\nAnswer: 72*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-69)\/46 - (-23)\/2. Suppose h*x - 263 = -103. What is the greatest common divisor of 16 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2327296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwdwwwd. Give prob of picking 2 w and 1 d.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 2*b**2 + 12*b + 11. Let n be d(-1). Let x(j) be the first derivative of n*j - 3 + 3\/2*j**2. Let y(i) = -i. Give x(y(r)).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 24 - (-9 + -7 + 9 + 17)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100210222 + -1022101?\nAnswer: -102010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 103869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1537125771 and 0?\nAnswer: 1537125771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 1 - 11. Solve -v = -4*c - 17 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 8*k + k)*((-k**2 - 4*k**2 + 3*k**2)*(1 - 1 + 2*k) + 2*k**2 - 2*k**2 - 4*k**3) - k**2 + 17 - 17 + 2*k**4.\nAnswer: 74*k**4 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 + 294 = -11*f. What is the closest to -7 in 0.2, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + (sqrt(360) + -1*sqrt(360)*3)\/(sqrt(8) + sqrt(32) + (sqrt(32) - sqrt(32)*4)) + -3.\nAnswer: 2 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -5, -419.\nAnswer: -419, -5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + z + 2. Suppose 0 = 4*g - 5*j + 12, -g + 3*j - 14 = -j. Let x be g\/(-9) - 2\/(-9). Calculate the least common multiple of 8 and c(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 4*o - 207 + 67, 5*o + 4*x - 179 = 0. Solve 4*u - 47 = -o for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 141*(-2 - (-79)\/39). Let q be (1 - -1) + 21 + (13 - 32). Which is smaller: q or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 86 + 18. Let w = c - -10. Let h = w + 23. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -4*k**2 + 12268904*k - 9407875335076 = 0?\nAnswer: 1533613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216920 and 18128.\nAnswer: 44685520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 84 and -2.175.\nAnswer: 81.825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 66.\nAnswer: 13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -405 - -591. Let j(w) = w**2 + 28*w + 54. Let u be j(-26). Suppose -u*a + 7*a - 3*q = l, -182 = -5*a + q. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1530, 11745, 39316, 92871, 181038, 312445, 495720?\n\"Answer: 1438*a**3 + 50*a**2 - a + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 50*r**4 - 50*r**2 - 22*r**5 + 9*r**3 + 46*r - r + 17*r**5 - 49*r**3 = 0.\nAnswer: -1, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 55 = -55 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**2\/2 + 2256*f - 4511\/2 = 0?\nAnswer: 1, 4511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -472*d = -426*d + 230. Let r(x) = 6*x + 11. Let q(j) = 5*j + 10. Determine d*q(n) + 4*r(n).\nAnswer: -n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4119 + 2052 - 6207 - 2832)*(-4*t - 3*t**5 + 4*t).\nAnswer: 33318*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 2*u. Let v(s) be the first derivative of -s**4\/4 + s**3\/3 - s**2\/2 + 3*s + 3. Determine v(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgbiihf. What is prob of picking 1 g and 1 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 94 and 191666?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/6312 and 143\/915240?\nAnswer: 915240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 9*k**2 + 13*k - 3. Let h(f) = -5*f**2 - 6*f + 3. Let g(d) = -7*h(d) - 4*j(d). What is g(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 5*o - 3*o. Let s(j) = 4*j. What is x(s(v))?\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 - 2*q**2 + 2*q**2)*(4 - 1 - 6)*(27 - 354 + 68).\nAnswer: 777*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 68797148 or 68797149?\nAnswer: 68797149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 + -19. Let i(s) = 11 - 8*s + s**2 + y*s + s + s. What are the prime factors of i(-28)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -311540 divided by -62308?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 v, and 1 f when three letters picked without replacement from {y: 4, f: 3, z: 3, r: 3, v: 3}?\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126249022.\nAnswer: 2, 5381, 11731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ligliiiliguil. What is prob of picking 1 l and 1 i?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4779*g**4*r**2 + 550*g**3*r**3 - g**2 + 891144*r**3 wrt g.\nAnswer: 114696*g*r**2 + 3300*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 + 6*v**4 - v**3 - 22*v + 24*v + 17 - 5*v**4 to l*v**3 + m*v**2 + s*v**4 + r + n*v and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14 and -67.1.\nAnswer: -53.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -6*v - 1. What is g(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 132.2 - 182. Let l = w + 46. Let p = l - -4. Which is the nearest to p? (a) -1\/6 (b) 4 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 2*u, u + 2*z = -3*z for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 4*w**2 - w + 4. Let t be v(4). What is the closest to 0 in 4, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 17*b = 4*v - 11019, 2*b = -2*v + 5510. Is 63 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7432322 minutes in hours?\nAnswer: 0.02905387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a - 42 = 7*a. Let l be -3 - -7 - (5 - a). Solve 0 = g - l for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(285) - sqrt(285)*-1)*2)\/(-3*-2*sqrt(5)))\/(((-1*sqrt(324))\/sqrt(9))\/(sqrt(240)\/sqrt(5))).\nAnswer: -4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 65 - 207)*(a - 3*a + 7*a).\nAnswer: -1430*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -140449*y + 6*y**5 + 32 + 140449*y + (6*y**3 - 6*y**3 - 4*y**4)*(2*y + y - y).\nAnswer: -2*y**5 + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence efqf when four letters picked without replacement from eefeeefqff?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/63 (b) -2\/9 (c) -1 (d) -25029\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*m + 23*m + 27*m.\nAnswer: 31*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 118*q + 2. Let t(m) = 11*m**2. Give t(h(f)).\nAnswer: 153164*f**2 + 5192*f + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 76?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 360 and 45675.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4490 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/58, -0.5, -5?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3319336737.\nAnswer: 3, 181, 503, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.181848537 rounded to 2 decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 - -3. Find the common denominator of -45\/2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 5. Suppose 3*j - 43 = -4*l, j - l = 9 + f. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1728*16.8\nAnswer: 29030.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ggzzzzgzzzz.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1698.7 - -1703.7. Which is the fourth biggest value? (a) 2\/13 (b) -10\/13 (c) 0 (d) u (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41 + 17 - 1496*i**2 + 9 + 13 to d*i + f + q*i**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -6*y**2 - 1. Let a(q) = 1 - 2*q**2 + 0*q**2 + 10*q**2 - q**2. Calculate -4*a(f) - 5*k(f).\nAnswer: 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 120*i**2 - 3479*i**4 - 133*i**2 - 14*i - 1404*i**4 + 3 wrt i?\nAnswer: -117192*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by -34\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 1856*o**2 + 6695*o - 15. Let q(u) = 1851*u**2 + 6697*u - 18. Let v(h) = 5*q(h) - 6*z(h). What is the second derivative of v(i) wrt i?\nAnswer: -3762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-5)*1\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579128979.\nAnswer: 3, 11, 13, 839, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*v + 54 = 6*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3017858.\nAnswer: 2, 1508929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-four fifths of a tonne?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 4*l + 20 = 0, -31*y + 35*y + 5*l = -25 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of d**8\/336 + d**4\/12 + d**2\/2 + 3. Let a(o) be the second derivative of k(o). Find the second derivative of a(s) wrt s.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 567\/(-1062) + (-1)\/(-2). Let r = 125.3 - 125.8. Which is the smallest value? (a) i (b) r (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -36 + -12?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1200630 is divided by 14464.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 264\/5 (b) 0 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/69 and 80\/33.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**6\/120 - k**5\/60 + k**4\/24 + 2*k**3\/3 + 2*k**2. Let h be u(0). Let t = h - 1. Let f(g) = -2*g**2 + 3*g + 3. What is f(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -1 - -5) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*p + 218*p - 31*p - 117*p - 38*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 33, 5, -78, -8, 4\/17, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -2*n - 18550, 482*m + n + 37109 = 486*m. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 0, q - 2 - 3 = -3*u. Solve q*k = -3*f + 24, -f = 3*k - 4 - 8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90 - 49 - (-4 - 18).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18296686*i**4*l**2 - 3*i**3*l**2 + 7681*i**2*l**2 - 3621*i*l**2 wrt i.\nAnswer: 439120464*i*l**2 - 18*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 11, f: 3}. Give prob of picking 2 u and 2 f.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4158217, -4158227, -4158235, -4158241, -4158245?\n\"Answer: z**2 - 13*z - 4158205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -103 + 111. What is the highest common factor of v and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -907 = 41*g - 1850 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 328196205 divided by -36466245\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 27. Let z(p) = -1. Let y(i) = i**3 + i**2 + 1. Let f(q) = o*z(q) + y(q). Let v be (-1)\/4 - (-6)\/(-8). What is f(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-70))\/(((-1224)\/(-510))\/(14\/(-5)))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16125 + -16191.37. Let j = 66 + u. Let t = -0.03 + j. Which is the biggest value? (a) t (b) 3\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -564*b - 564*b + 178 + 1127*b. Let g be k(24). What is the greatest common factor of 14 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 = -5*j + 4*d, -43 = -4*j + 3*j - 3*d. Let i = j + -21. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 864.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggrrggrrrrrgr. What is prob of sequence rggg?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*n + 4149 = -18973. What is the hundreds digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.995046 to 0 decimal places.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -7 - t + 4 + 7. Let w be i(-5). Solve 0 = -2*p + w - 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*l**4 - 42*l**4 - 51*l**4 + (4*l - l - 4*l)*(3*l**2 - 3*l**2 - 2*l**3) in the form x*l**2 + u + m*l**4 + h*l**3 + d*l and give m.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*p - 25 = 0, 5*f = 59*p - 62*p + 3. Solve 68*n = 65*n + f for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**2. Let y(k) = -11*k - 12 + 9 + 3. Give y(b(u)).\nAnswer: 22*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 16. Suppose 5*q - 5 = -p*t, -4*q - 6 = 2*t - 3*t. Solve 4*a - 2*a - t = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, z: 5}. Give prob of picking 2 z and 2 m.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o - 4. Let j be f(-4). Suppose 2*u - 32 + 4 = j. Suppose c + 13 = -u. Round c to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iii. What is prob of picking 3 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + l + 7. Let p be c(0). Let x be (-28)\/p*2\/(-4). Differentiate -3*v**x - v - 3 + 1 + v with respect to v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 1 + 3)*(-34 + 34 - 7*b) - 14*b - 5*b - 4*b as w + j*b and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 7:05 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 9*g + 11. Let s be r(6). Let m be (6\/(-9))\/(((-14)\/33)\/s). Let u = 11 + m. Which is the closest to -3? (a) -0.4 (b) u (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.131 plus -0.216036?\nAnswer: -1.347036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k + 63. Let l(i) = 8*i - 119. Let y(v) = 5*c(v) + 3*l(v). Let w(n) = -5*n**2 + 3*n. Calculate y(w(m)).\nAnswer: 5*m**2 - 3*m - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 1\/4*r**4 + 0*r + 2\/3*r**3 + 3 + 1\/2*r**2. Factor h(s).\nAnswer: s*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 + 94. Let t be (-2)\/(-2)*6*6\/18. Let g be 7\/(-14) - (-29)\/t. What is the greatest common factor of y and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - -9. Solve -5*s = -a + 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -383930*f + 383930*f - 8*f**3.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -10\/7*f**3 - 8\/21*f**4 - 32\/21*f**2 - 2\/7*f + 4\/21 = 0.\nAnswer: -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.28 and 544240.\nAnswer: -152387.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11 + 7)\/((-3 - -1)\/(-8)). Let l be ((-50)\/(-4))\/5 - 24\/r. What are the prime factors of ((-906)\/(-12))\/(2\/l)?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36.04 - 0.96. Let g = a - -37.128. Let c = 0.483 - g. What is c rounded to 2 decimal places?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -100236, -102916, -105596, -108276, -110956, -113636?\n\"Answer: -2680*m - 97556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times -0.03?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 147\/(-9) + (-1146)\/(-191)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-6))\/((-2)\/(-21)). What is the greatest common factor of m and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**3 + 1\/4*c**4 + 1\/60*c**5 + 0 + 144*c**2 + 0*c. Determine t(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5863 - 5759)*(2 - 22\/8)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062198271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 2*u**2 + 2*u + 1. Let j be c(-1). Suppose k - 4 - 7 = -2*l, 0 = -2*l + j. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*l + 472 = 22 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/1*14\/(-4). Let f(s) be the first derivative of -6*s**2 + 5*s - 48. Is f(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 19763 = d, 5491 = -5*v - 2*d + 54897. What is the remainder when v is divided by 122?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.5 - -0.5. Let q = -4 + 3. Let o = j - q. Which is the nearest to -1\/2? (a) 1 (b) o (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 50 or 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 less than -1832391?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 4*c**2 - 32*c.\nAnswer: -4*c**2 - 32*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 880308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 35140 rounded to the nearest one thousand?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1601785, -3203383, -4804795, -6406021, -8007061?\n\"Answer: 93*p**2 - 1601877*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.360148 years to centuries.\nAnswer: 0.00360148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 1, -672914.\nAnswer: -672914, -2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 795341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -88647, -88646, -88645?\n\"Answer: c - 88648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 s when two letters picked without replacement from {i: 2, s: 2, w: 5}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 11*c + 220. Calculate y(-22).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 19 = 15*b - 12*b, 5*b - 2*i = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 10*m - 17. Let d be j(3). Solve 0 = -d*b - 7 + 15 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76120 by 5.\nAnswer: -15224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 485365956 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6430\/52083)\/((-15)\/(-54)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t - 13. Let f(j) = j - 6. Let p(o) = -13*f(o) + 6*r(o). Let l = 128 - 126. Let u(w) = 8*w**l + 5*w**2 - w**2 - 13*w**2. Determine p(u(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + -1010111101100001100110?\nAnswer: -1010111101100001110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/((-77)\/2) - (-30)\/(-165). Suppose 8*q - 457 + 185 = p. Is 34 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 194*w - 2066. What is r(204)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13365 and 2025.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**13\/f*f*f)\/(f\/f**12) assuming f is positive.\nAnswer: f**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o\/o**3))\/(o\/(o\/((o**1\/o)\/o))))**(-2\/53)*(o*o**0)**(-26\/7)*o**0*(o\/((o**(-3)\/o)\/o*o))\/o assuming o is positive.\nAnswer: o**(36\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*v - 3*v**2 - 21*v + 7*v**3 - 4*v**4 - 1 + 3*v**2 to s*v + u*v**3 + w*v**4 + y*v**2 + x and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 4) in base 3?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 + 248*h + 3*h**2 - 248*h - h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60457 by -3.\nAnswer: -60457\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a + 10130 - 10130.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2291 - 1125 = 4*m. Let d = -412 - m. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16329489 = 5*r - 3*i + 5920520, -22249985 = 5*r + 5*i. Round r to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-7)\/(r*(r\/(r**3\/r))\/r))**(6\/19)*((r*r\/(r*r\/(r\/(r*r**(-6)))*r))\/(r**8\/r))**(-14) assuming r is positive.\nAnswer: r**(496\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/30*1\/24*-4\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -3 in decreasing order.\nAnswer: 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 111, 285, 521, 819?\n\"Answer: 31*k**2 + 81*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1214697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/5*1915\/(-19150)?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 40 in -3\/2, 3\/4, -3, -15?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/((-150)\/(-9)))\/((-14)\/(-210)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6, -1\/31, -0.24 in descending order.\nAnswer: -1\/31, -0.24, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -13 + (1 - -5) + -29. Let u(l) = -41*l + 4. List the prime factors of u(v).\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/(-30) - (-714)\/15. Suppose -p - 13 = -3*v. Calculate the lowest common multiple of v and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, s: 2, g: 4}. What is prob of picking 1 n and 1 g?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*h + 5*s - 20 = 283*h - 0*s, -2*s - 8 = 0 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -4, 55 in descending order.\nAnswer: 55, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -46062, -92119, -138176?\n\"Answer: -46057*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2*q + q**2 + (-11*q - 5*q - 2*q)*(-q - 2*q + 4*q) + q**2 - 3*q**2 + q**2 + (0*q - q + 0*q)*(q - 3 + 3) + 6 - 6 - q**2)*(2*q + 0*q - 4*q).\nAnswer: 40*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49087971 and 6453.\nAnswer: 6453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 3202, -5, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.053 - 0.353. Let o = -5.5 + 7. Let g = -1 + o. Sort g, r, 0.4 in decreasing order.\nAnswer: g, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v + v - 3*v + (7 - 7 + 4)*(-19 + 2*v + 19) in the form k + w*v and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18625396, -18625286, -18624984, -18624394, -18623420, -18621966?\n\"Answer: 16*g**3 - 2*g - 18625410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q. Let d(a) = 131 + 38 - 236*a - 1374*a - 169. Determine d(y(j)).\nAnswer: 3220*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*w + 16762 = -3965 - 1003. What is the highest common factor of w and 13250?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 + 35 - 110 + 1993*t**2 + 36)*(2*t - t + 0*t).\nAnswer: 1993*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**2\/2 + 8. Let i(m) = -83*m**2 - 5. Let f(r) = 116*r**2 + 7. Let l(b) = -5*f(b) - 7*i(b). Determine n(l(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-10))\/((-1098)\/(-220) - 5). What is the greatest common divisor of 4 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - m + 12, -2*m - 14 - 2 = -4*z. Suppose 4*b - 5*b = 4*o - 288, 3*o - 1217 = -z*b. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 2 = -4*l + 5*l, 3*l + 2*s + 16 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3377 divided by 57.\nAnswer: 3377\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221.739 centuries in millennia?\nAnswer: 122.1739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -8. Let a(u) = -u + 3 - 6 - u**3 + 2 + 2*u + j*u**2. What are the prime factors of a(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 6:34 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 166, -31, 207 in decreasing order.\nAnswer: 207, 166, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 239, 403, 559, 701, 823, 919, 983?\nAnswer: 1009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 s when three letters picked without replacement from {g: 3, d: 2, a: 6, s: 2, f: 2}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 232044303 - 104?\nAnswer: 232044144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 - (-93 - -72 - -11)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 2:42 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 11) to base 12\nAnswer: a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 268817.48 or -2\/7?\nAnswer: 268817.48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {s: 3, i: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 4*o - 4344, -2*o - 4*l + 2187 = -9*l. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1062946 - 148?\nAnswer: -1063094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ap when two letters picked without replacement from pwcxpai.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**5\/7 - 3*b**4\/7 + 33*b**3\/7 + 87*b**2\/7 + 78*b\/7 + 24\/7 = 0. Calculate b.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 71*v**2 + 214*v + 133. Determine g(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) 0.4 (c) -2\/9 (d) -557 (e) 0.14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5 = 3. Suppose -p = -4*o + 28. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3445)\/(-1015) - (4 + (-50)\/14). Which is smaller: 3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3 (b) -24 (c) 91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - (-3)\/(-3)) + -14. Let r(f) = 19 - 24*f + 17*f - f**2 - 7*f. Does 11 divide r(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -310*s - 1518. Calculate u(-4).\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 244\/549 + (-59)\/(-9). Solve 6*u - 39 = -j*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - 2*m**2 + 11*m**2)*((4*m**2 + 0*m**2 - 3*m**2)*(m - 4*m + m) + 3*m**3 - m**2 + m**2).\nAnswer: 11*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m - 1. Let j be (-26)\/10 - (-8)\/(-20). Let w be h(j). Do w and 2\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -28364 + 6?\nAnswer: -28358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159 + 26 + 66*g**3 + 27 - 54*g**3 + 78 + 28.\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -11.\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 1:17 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1625\/295122 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(22)\/sqrt(18) - (sqrt(11)*-1 + 0))*-6)**2 - (((sqrt(132)*2 + sqrt(132))\/sqrt(3))\/(sqrt(196)*-2) + -5).\nAnswer: 3*sqrt(11)\/14 + 11269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2158428669 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: Simplify (2 + (4*(sqrt(252) + 2))**2)*3.\nAnswer: 1152*sqrt(7) + 12294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -320000 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {j: 3, l: 8}.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q - 131*q + 33 - 77*q.\nAnswer: -216*q + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 12*p**3 - 8*p**2 + 17*p - 97. Calculate m(4).\nAnswer: 611","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11226, -11213, -11192, -11163, -11126, -11081?\n\"Answer: 4*i**2 + i - 11231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 390 and ((-16)\/(-6))\/((-568)\/(-6390)).\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1 + (1 + 0 - 3)*(-1 - 1 + 0) - 3 + 3 + 2)*(14*h**3 + 231 - 231)*(-1 + 1 + 2*h).\nAnswer: 224*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*c**2 - 4*c**2 + 10*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 2\/415 (c) 1.34 (d) -4 (e) 5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + -3 + 26*1. Let z be 1\/(-3) - (-252)\/27. What is the greatest common factor of z and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 7:02 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -16. Solve -4*d - f = -2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -6*k**3 - 8*k**2 - 7*k - 37. Let v(z) = 2*z**3 + 2*z**2 + 2*z + 12. Determine 2*o(l) + 7*v(l).\nAnswer: 2*l**3 - 2*l**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2212518 rounded to 2 decimal places?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j**3 + 269*j**2 - 462*j - 3006212.\nAnswer: 6*j**2 + 538*j - 462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97613587?\nAnswer: 23, 4244069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6882309055?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 3*n**2 + 7 - 2*n**3 + 1\/4*n**4 + 4*n. Let o be m(4). Put o, -1, -3 in increasing order.\nAnswer: o, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 16*t**2 - 15*t - 11. Let z be u(-15). Let p be (-31)\/4 - (-1)\/(-4). Let n = p - z. Solve s + 2 = -2*y, y + n*s = -2 + 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 - -461?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**3 + 60*q**2 + 2*q + 5*q + 1 - 1.\nAnswer: 5*q**3 + 60*q**2 + 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1560 - 1475. Suppose 22 + 318 = -5*v. Let i = r + v. Is 2 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 404.06*4.\nAnswer: 1616.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -714 and 33.\nAnswer: -681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 234645 and -2211?\nAnswer: -518800095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 2:42 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2311182.\nAnswer: 2, 3, 128399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k - 6*k - 2*k + (0 - 2 + 0)*(4*k - 6*k + 4*k) + k - 22 + 22.\nAnswer: -13*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*y**3 + 2*y**4 - 7 - 4*y + 0*y**3 + 0*y**4 - 7*y**3 as s*y**3 + i*y**2 + r*y**4 + b + t*y and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 476520 divided by 44.\nAnswer: 10830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of 11*d**5\/60 - 2*d**2. Let c(j) = -24 + 2*j - 2 + 26. What is c(q(u))?\nAnswer: 22*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + 2.2. Let p = -69.9 - -66.9. Which is the nearest to -0.2? (a) k (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 3*n - 15 + 3, 11 = 2*z - 5*n. Suppose 2*y + z*p = 5*y - 201, 195 = 3*y - 5*p. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1051, -1054, -1057?\n\"Answer: -3*v - 1048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8679571591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 279.22 to the nearest integer.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -4*m + 180, -d - 239 = -5*m - 3*d. What are the prime factors of m?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/31? (a) 7 (b) 11022 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 1\/9 (b) -28 (c) -4 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (2 + 1)) + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*v**4 - 3*v**2 + 3*v**2 + (1 + 0 + 0)*(-3*v**4 + 0*v**2 + 0*v**2).\nAnswer: 14*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -13*j. Suppose -2*m = -2*s + 6, -10 = s - 3*s. Let u(i) = 2*i - 3*i + 4*i - m*i. Determine u(q(v)).\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/9803062 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7517076*a**4 + 22358656 with respect to a.\nAnswer: -30068304*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3 + 5)*(-741)\/(-380))\/(((-216)\/(-45))\/8).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-90)\/(-198)*4\/10. Let k(c) = c - 7. Let t = 6 + 0. Let r be k(t). Do r and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95.9 + 6.\nAnswer: 101.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1295 is divided by 242.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35383, 70774, 106163, 141550?\nAnswer: 176935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(2) - sqrt(6)\/sqrt(3)*4))**2*1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k. Let d(s) = 2*s**2 + 1. Let o be d(-1). Suppose -2*z = 4 - 2. Let p(g) = 0 - 992*g**2 + g + 991*g**2 + g + 1. Give o*f(i) + z*p(i).\nAnswer: i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1121831.82*1\nAnswer: -1121831.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12136.\nAnswer: 2, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 1319 and 1318 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24106837?\nAnswer: 547, 44071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(320)*-3)**2 + sqrt(320))*3*2 + ((sqrt(320) - (sqrt(320) + -4))*-4 - (sqrt(320) + 0 + -1 + sqrt(320))**2).\nAnswer: 80*sqrt(5) + 275183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*w**3 - 9*w**3 - 3*w**2 + w**2 - 32*w**3 to the form p*w + x + s*w**3 + n*w**2 and give s.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 2197845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/190 and 13\/10247498.\nAnswer: 51237490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*s + 4 - 7*s - 6 - 39 wrt s.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*10\/(-200)*(88\/(-3))\/11*-30\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*s. Factor 2*p + 0*p**3 - 7*p**4 - 3*p**5 - 27*p**2 + 30*p**2 + s*p - 3*p**3.\nAnswer: -p*(p + 1)**3*(3*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3111232 (base 4) to base 11\nAnswer: -a305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 6*o - 8 = 0. Let i = 64 + -59. Let c(z) = -2 + i - 3*z**2 - 4 + 4*z**2. Let f(v) = 3*v**2 + v - 3. Give o*c(n) - f(n).\nAnswer: -n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 818 = 106*w - 666 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.61 - 0.09. Let z = 0 - -0.1. Let w = -2.374 - -4.374. Which is the closest to z? (a) p (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -242 + 969\/4. Let b(q) be the first derivative of 1\/8*q**2 + 0*q + u*q**3 - 1\/4*q**4 + 1. Factor b(c).\nAnswer: -c*(c - 1)*(4*c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqqvvqjqqqvqqj. Give prob of picking 1 v and 1 j.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -4 (c) 0 (d) -6 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.24 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 7*v**2 + 3*v + 2. Calculate the lowest common multiple of d(-6) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45981428 a multiple of 1611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -866223 (base 10) to base 15\nAnswer: -1219d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 4896*z**4 + 3722*z**3 + 64*z + 2796*z**3 + 1156*z**5 + 1152*z**2 - 790*z**3 = 0.\nAnswer: -2, -2\/17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/8)\/(12\/48)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8660 + 8658. Let q = -1.8 - -10.8. Is m < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (-15)\/3 + (7 - 1). Solve -a*l - 18 + 2 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 3*f - 2*f + (-2 + 1 + 0)*(0*f - 4*f + 2*f) - 2*f + 0*f + 0*f)*(0 - 1 - 7)*(6 - 7 - 24) + f + 4*f - 2*f.\nAnswer: 403*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + t + 38 = -2*k, -2*k = 5*t - 226. Let j be 2402\/22 + (-8)\/t. Calculate the remainder when 42 is divided by j\/5 + (-2)\/(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2061241 is divided by 38891?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 6 - 15)*(-p**2 + 4*p**2 - 4*p**2)*(108 + 147 - 215).\nAnswer: 920*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15365816 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 16740, 5 in descending order.\nAnswer: 16740, 5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 8:43 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 54 = 44 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l + 33. Let w be v(-14). Let p = 7 + w. Calculate the lowest common multiple of p and 33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-6) - ((-25454)\/39)\/11. Let j be 18\/(-10)*(-200)\/p. Solve -2*q = -3*c - 6, -2*c - j = 5*q - 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/14 and 31\/3436632.\nAnswer: 24056424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 12 = -11*m. Suppose 8 = -c + m. Suppose u - c*u = -12. Solve -4 = 2*k - 8, -2*z + 8 = u*k for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -149, -1341, -4621, -11033, -21621, -37429?\n\"Answer: -174*v**3 + 26*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, h: 2}. Give prob of picking 1 h and 2 g.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1106*o + 256 = -1101*o - 2*r, -9*r + 174 = 3*o for o.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssssysdsyysds. Give prob of picking 1 s and 2 d.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -8)\/(-7 - 152\/(-20)). Let b(i) = 10 - i - 2*i + 2*i. Give b(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -4 + 5 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 568648 to the power of 1\/2, to the nearest integer?\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhmhhmhmhhh. Give prob of picking 2 h.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22 and 2.51.\nAnswer: 55.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.19 + 0.39. Let y = 0.5 - 0.4. Sort y, o, 2 in descending order.\nAnswer: 2, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -4022 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23410 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69.34 - 123.5. Let n = s - -54. Which is the closest to 0.1? (a) 0 (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242 = -75*g - 17. Calculate the lowest common multiple of 285 and g.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, j: 1, r: 1, n: 1, t: 3, i: 3}. Give prob of picking 1 j and 1 n.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, p: 3, c: 7, g: 2}. What is prob of picking 2 c?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -328 - -310. List the prime factors of (-4)\/s + 0 + 18035\/45.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ae6f + a?\nAnswer: ae79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 184649.2 and 0.3.\nAnswer: 55394.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -6*m**3 + 3124*m**2\/5 - 62544*m\/5 - 494208\/5 = 0.\nAnswer: -6, 572\/15, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i**3 - i**3 + i**3 - 2*i**3.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/(-1))\/(-2 + 4). Let a = 4 + d. Find i such that 0 + 0*i**3 + 0*i**2 + 0*i - 2\/5*i**a - i**5 = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - -24c748?\nAnswer: 24c752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 4b?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11000595 and 1.\nAnswer: -11000594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h - 1174*h**2 - 816*h**2 + 4*h + h.\nAnswer: -1990*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*x**2 - 3 + 0 - 74*x**2.\nAnswer: -108*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.89 + -0.11. Let i = 1.98 + k. Sort i, 4, 1 in decreasing order.\nAnswer: 4, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 7386306.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j + 3*j - 1 - 2*j + (2 + 4 + 7)*(-3*j + 0 + 0).\nAnswer: -41*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 29 + 101 = z. Suppose 0 = 8*j - 3*j - 10. Solve z = j*q + q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2. Let a(m) = m**2 - 2*m**2 - 3*m**2 - 2*m**2. What is i(a(d))?\nAnswer: -36*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(1188) + -1*sqrt(1188) + sqrt(1188) + sqrt(1188) - sqrt(1188)) + sqrt(1188) + 2*sqrt(4752) + sqrt(4752) + sqrt(4752))\/(sqrt(108)*5*-1).\nAnswer: -2*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.19 + 15.81. Let n = -2.6 + -8.4. Let j = p + n. Which is the smallest value? (a) j (b) -2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 1:59 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 19 = 7*d + 6*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1750 and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 4*c - 244, 0*c = 3*j - 2*c - 712. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, 0.2, -18908, 2\/5, 5 in descending order.\nAnswer: 5, 2\/5, 0.2, 1\/10, -18908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 110 in -0.1, 0, 1\/23, 0.3, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -1.773043?\nAnswer: -3.226957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**3 + 3*j**2 + j + 2. Let x(o) = o**3 - o**2 + o - 1. Let r(g) = -s(g) - 2*x(g). Suppose -4*k + 15 = k. Does 9 divide r(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 134, 270, 406?\n\"Answer: 136*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1630, 1728, 1824, 1918?\n\"Answer: -z**2 + 101*z + 1530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 6\/5*v**6 - 3*v - 2 + 15\/2*v**2 + 1\/20*v**5 + 5\/12*v**4 + 0*v**3. Find the third derivative of l(r) wrt r.\nAnswer: 864*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23911179 divided by 82169?\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72279315?\nAnswer: 3, 5, 37, 43411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.08 in 0.41, -5, -3\/2, -0.2, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 2*a**2 + 2. Let p be h(2). Suppose -p*z + 529 = 3*j - 80, 192 = j - 3*z. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) 1\/3 (b) -9 (c) -4\/7 (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2464 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**2*d*j - 1973*a**2*j**2 - 3*a*j - 2*d + 3085*j**2 wrt a?\nAnswer: -2*d*j - 3946*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (68\/12 - 6)*21?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -82231227.63101 + 82231573. Let g = -345.4 + p. Round g to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 5*s + 18 = 0, -k + 2*s = -3*k + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 6*f**2 - 4. Let h be m(-6). Let k = h + 3. Let s = 1.94 + 0.06. Does k = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 11:34 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3740 = 2*g - 4*l, 3*l + 5625 = 6*g - 3*g. List the prime factors of g.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3456 divided by 54\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 59380.9291 to the nearest 100.\nAnswer: 59400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9570528 to the nearest integer?\nAnswer: 3094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2262592 or 2262564?\nAnswer: 2262592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-850*h + 2171*h - 976*h)*(-7 + 1 + 2).\nAnswer: -1380*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*r - 45*r**3 - 22*r + 26893516*r**2 + 10 - 26893516*r**2 - 10.\nAnswer: -45*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + ((-12)\/(-21))\/((-7)\/49).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -0 + 6. Let a(g) = 2*g**2 - 11*g + 16. List the prime factors of a(s).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(98) + 3)*-5.\nAnswer: 75 + 175*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f + 13. Let m(n) = 6*n - 19. Let i(s) = 7*h(s) + 5*m(s). Suppose 0 = -2*u - u - 3*g - 9, 0 = -2*g - 8. Let k be (-8)\/(-20)*10*u. What is i(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21\/10 - 3\/30. Suppose 3*j - 41 = -r. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 41*m**3 - 16*m**2 - 8*m - 39. Let b(a) = 27*a**3 - 10*a**2 - 5*a - 26. Give 8*b(q) - 5*c(q).\nAnswer: 11*q**3 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -196, -5, -4, 32 in ascending order.\nAnswer: -196, -5, -4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**4*i**3 - 335*g**4*i**2 + 2*g**3 + 324*g**2*i - g*i**3 wrt g?\nAnswer: -48*g*i**3 - 8040*g*i**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 3)*(26 - 26 - 20*b).\nAnswer: 120*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + k - j + 358 = 0, -4*j = 2*k - 232. Calculate the highest common divisor of k and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 1:01 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 + 15*i + 10. Let p be z(-7). Suppose 0*g - p*g + 12 = l, l + g - 4 = 0. Is l at least 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10440403 - -4414?\nAnswer: -10430434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 15 = 3*k. Let w(j) = 4*j**2 - 9 + j**2 + j**k + 16. Calculate w(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144 by -48.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 42*v**2 + 2*v - 1. Calculate m(1).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.308.\nAnswer: 1.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5983215 and 1680.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 9 = -v, m + 0*m = v + 3. Let u = 3 + v. Solve 3*j - 18 = -u*h, h - 3*h - 3 = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-54)*-9*(-1)\/3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 4*t + 2. Let n be j(4). Suppose 0 = -5*p - 2*a + 38 + 2, n*p + 2*a - 22 = 0. What are the prime factors of 1\/(-2) - (-105)\/p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2983 and 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a kilometer in meters?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59308 - 32665. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*o**4 - 43*o**2 + 43*o**2)*(-5*o + 22*o - 3*o) - o**5 + 9*o - 9*o - 2*o**5 + 4*o**4 - 4*o**4.\nAnswer: 95*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 403?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -170 - -293. What is the remainder when u is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1890 is divided by 481?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34.3 + 34. Which is the closest to -1? (a) 3\/5 (b) -2\/11 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**4 - o**2 + 1. Let s(g) = 5*g + 3*g**2 - 4 + 1 + 12*g**4 + 4*g**4. Let m(w) = 3*i(w) + s(w). Find the second derivative of m(j) wrt j.\nAnswer: 228*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (1 - 2) - (-14 + 11).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-5) - (-113)\/(-565)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11789*b**2*x - 46965*b**2 - b*f**2*x - 2*b*f**2 wrt x.\nAnswer: -11789*b**2 - b*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01 - 0. Let v = 2.99 - j. Let g = -4.9 + 5. Which is the closest to g? (a) v (b) 0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/5 + 14\/(4\/2). Let d be (-5 + -207)\/(b\/(-12)). Suppose -4*w - 4*w + d = 0. Does 11 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l**5 + 1852*l**4 + 39916*l**3 + 198308*l**2 + 250736*l + 90480 = 0. What is l?\nAnswer: -13, -5, -1, -2\/3, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10858 + -3447. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m - 1. Let w be j(3). Calculate the highest common factor of 6 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2 - 27*n + 19. Let o be f(-14). Solve -l = -o*b + 6, 2*b = -b - l + 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.7 - -48.7. Let r = n + -36. Let q = 0.2 + -4.2. What is the smallest value in q, r, -1\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 34665.\nAnswer: 34665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3 = 2*o + 3*i, -5*o = -2*i - 16. Let x(m) = m**3 + 11*m - 12*m + o + 10*m**3 - m**2. What is the tens digit of x(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 3:23 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-86*t - 63*t - 106*t + 46*t - 62*t)*(51*t**3 - 42*t**2 + 42*t**2).\nAnswer: -13821*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 16*y - 6. Let a be q(6). Let f = 99 - a. Let c(p) = -p. Let t be c(-5). Is t bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5336.962 decades to months.\nAnswer: 640435.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7517 - 6076 = -91*l - 1763. Let w be ((-8)\/6)\/((-10)\/105). Calculate the least common multiple of l and 3\/9*3*w.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a microsecond in nanoseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 3\/1832 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(5\/2))\/(h\/(h**(-2\/31)*h)))**(1\/23) assuming h is positive.\nAnswer: h**(213\/1426)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110 + -94 + (2 + -54 - 3)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6960, -17953, -32984, -52053, -75160?\n\"Answer: -2019*j**2 - 4936*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*x + 3*x - 4*o, -3*o + 19 = 5*x. Let m be 30 - (x*-2)\/2. Calculate the highest common factor of 8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qf when two letters picked without replacement from gfqqqgqfq?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**5\/6 - o**4\/6 + 9*o**3\/2 - 9*o**2\/2 - 9*o = 0.\nAnswer: -6, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -246832 (base 12) to base 3\nAnswer: -1010002022002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**4 + 11953*u**3 - 59731*u**2 - 107577*u + 537660 = 0.\nAnswer: -3, 3, 5, 11948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7282903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a**3 - 5*a**2 + a - 7. Let s(r) = -r**2 - 8*r - 6. Let x be s(-3). Let c be x\/(-15) - 46\/(-10). Is n(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 5*y + 7 = 0, 3*y + 17 = -2*q + 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (231\/297)\/((-14)\/(-12)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = v + 6*v. Let u(f) be the third derivative of -f**6\/60 - f**5\/12 + 5*f**3\/6 - f**2. Let p(m) = 2*m**3 + 4*m**2 - 4. Calculate v*u(r) - 5*p(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*g = -g + 65, -2*g = 2*j - 98. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 2:49 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 136750 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 312a - -52b?\nAnswer: 3659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 598*d**2 + 14*d - 43. Suppose 3*b + 12 = 2*m - 0*b, 4*m - 4*b = 20. Is z(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(1700) - (1 + sqrt(1700))*-4)*5 - (-2 + sqrt(1700) + sqrt(1700) + (sqrt(1700) - sqrt(1700)*1)*2 + sqrt(1700))))**2*-4.\nAnswer: -3293316 - 40480*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -8*f - 3. Let a(r) = 5*r - 15. Determine 5*a(p) - 25*o(p).\nAnswer: 225*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16452 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 118882103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thhlhhlhlththt. Give prob of picking 1 l and 1 t.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -424 = 4*c - 128. Let k = 2593 + -2449. Let s = c + k. What is the greatest common factor of 28 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**5 - 29*u + 14*u**3 + 2*u**5 + 129*u wrt u.\nAnswer: 20*u**3 + 84*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**2 - v**2 - v**2 + (-3496*v - 2663*v + 740*v)*(-2*v + v + 5*v).\nAnswer: -21675*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -11. Suppose -7 + 1 = o + j, -p*o = -j. Let w(c) = c**2 + c + 1. Let v be w(o). Calculate the highest common factor of 3 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 4:01 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 10. Suppose 0 = 2*o - c*o + 120. What is the greatest common factor of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 485*p**2 + 40*p + 4. Let d(r) = -969*r**2 - 100*r - 10. Let z(n) = 2*d(n) + 5*g(n). Let f(j) = -7*j. Determine z(f(l)).\nAnswer: 23863*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 423192 by -3.\nAnswer: -141064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 50061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*m - 312 = 80*m. What is the nearest to -1 in m, -1, 1\/9, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -22 + 40 + q - 1. Let i be 30\/(-4) + 2\/4. Let u be x(i). Solve 3*p - p = -u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 12*q**2 + 18*q + 8. Let i be f(9). Let c = i - -78. What is s in -1\/6*s**c + 0 - 1\/2*s**4 - 1\/6*s**2 - 1\/2*s**3 + 0*s = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0 (c) -1\/6 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/5 + 26*t**2 + 2056*t\/5 + 9152\/5.\nAnswer: 2*(t + 8)*(t + 13)*(t + 44)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5920 = -x - 4*x - q - 5999, 2*x = -3*q - 42 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -8, -1, 2\/13, -1\/8?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + c + 3 = -z, 0 = -5*z - 5*c - 10 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/7)\/((-214)\/417728*-244).\nAnswer: 40\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 1, 146.3, -11\/3, -3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -12*j - 3 - 4. Let b(o) = -o - 4. Let u be b(-7). Solve -2*p = m + u, -2*p = -3*m - j - 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 plus -195?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 670425?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96283587 divided by 1.\nAnswer: 96283587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4.250211 * 0.147\nAnswer: 0.624781017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -174 (b) -4 (c) -1369 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 5 - 77*r**3 + 75*r**3.\nAnswer: -2*r**3 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/2))**18\/(j**(-3))**(1\/14) assuming j is positive.\nAnswer: j**(-123\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b + 76*a - 225, -7*b + a - 2 = -6*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 410*n**2 - 147*n + 13. Let v(w) = -189*w**2 + 74*w - 6. Give 6*p(u) + 13*v(u).\nAnswer: 3*u**2 + 80*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 4, 106700 in ascending order.\nAnswer: -12, 4, 106700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -380 + 386. Suppose -909 = -p*a + 1731. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 5*k - 2. Let u = -1 - 8. Let g = 19 + u. What is the remainder when g is divided by w(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 29?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -911, -833, -741, -635?\nAnswer: -515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68036869801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 5, 37284\/19, -8, 2\/7 in descending order.\nAnswer: 37284\/19, 5, 2\/7, -0.2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 - 10*z - 11. Give k(8).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1692.7 times 0.5?\nAnswer: 846.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 76.6967km?\nAnswer: 76696700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -w - 7, 694*w = 697*w + 2*r - 19 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - 51*(-6)\/9. What is the highest common divisor of 14 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3987113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -346 + 699. Let n(w) = -193*w - f*w + 691*w. Let v(o) = o. Give v(n(t)).\nAnswer: 145*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, u: 1, w: 1, h: 8, r: 2}. What is prob of picking 2 h and 1 u?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -264 times 1.16297?\nAnswer: -307.02408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**10*k*k**(-23)*(k\/(k**3\/k))\/(k\/(k**(-22)*k)))**(16\/5) assuming k is positive.\nAnswer: k**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 8. Suppose f*m + 6*m - 222 = 0. Let o = 100 - m. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/5)*l)**(-3\/11))**(-9)\/(((l\/(l\/(l\/l**(-2\/3))))\/l)**(1\/80))**(-5) assuming l is positive.\nAnswer: l**(1999\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 10:46 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 317224810 divided by 7.\nAnswer: 45317830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 485595 is divided by 3215?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376584.\nAnswer: 2, 3, 13, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 110699 + -59875. List the prime factors of g.\nAnswer: 2, 6353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -104 * 10.\nAnswer: -1040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70 - -103. Let z = -28 + w. What is the remainder when 9 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 + 130*w**2 + 1995*w - 7020.\nAnswer: -5*(w - 36)*(w - 3)*(w + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(29*w + 313 - 313) + (w - 3*w + 0*w)*(7 - 8 - 5).\nAnswer: -17*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2*2*(-117)\/156 - (-11 - -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 11 = -3*k + 374, 3*k - v = 389. Solve -6 = -131*n + k*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39793?\nAnswer: 13, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0*m + 4*b = -4, -4*m + 4*b + 4 = 0. What is m rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33614050.\nAnswer: 2, 5, 61, 103, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 44700 = 4*b. Suppose -5*m + b = 5*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4077 is divided by 74?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j + 87. Let q be n(0). Let x = -76 + q. Calculate the least common multiple of x and 271.\nAnswer: 2981","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 18. What are the prime factors of w(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t - 5. Let h(j) = j + 8. Let a(c) = 2*h(c) - r(c). Let y(v) = 4. Let x = -2 - 0. What is x*a(s) + 11*y(s)?\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/8))**20 assuming z is positive.\nAnswer: z**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -18976.891 to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 26 - -606?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 d when three letters picked without replacement from {d: 2, e: 6}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m*m**(2\/37))\/m*m\/m**(1\/14))**(2\/3) assuming m is positive.\nAnswer: m**(1027\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t*t*t**(5\/4)*t)\/t)\/(t*t**(-1)))\/(t\/t**9*t**(-10\/3)) assuming t is positive.\nAnswer: t**(199\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 527 divide 858483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 609\/(-3))*(12224\/128)\/(-191)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 3b32e4?\nAnswer: -3b32e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-15)*(-20)\/8 + 6 + -1. Solve 5*d - 3*m + 1 = -4, n*d = -5*m + 33 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176890328?\nAnswer: 2, 47, 470453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10174107 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**2\/4 - 473*x\/4 + 10875 = 0.\nAnswer: 125, 348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b - 491?\nAnswer: -484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1382380 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 715*q - 2000*q - 32432 = 1990*q + 779*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 - -69. Let n = -31 - -55. Suppose 3*b = -b + n. What is the highest common divisor of x and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73328924 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-22)*((-384)\/(-20))\/(-12)*200\/800\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 3*i**2 - 3*i + 4. Let l be y(-3). Suppose 3*f + l = p + f, 0 = 3*p - 5*f - 41. What are the prime factors of p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + m - 8. Let l be (-22)\/(-8) - (-1)\/4. Suppose -3*a - l*r - 2*r = -170, 0 = -m*a - 2*r + 222. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i - 20 = -21*i. Let c be 20\/(-25) + 28\/i. Suppose 0 = x - 5*g + 10 + 8, -4*x = c*g - 16. Solve 0*z = -3*z - x*s, -2*s + 6 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l**(7\/2)*l)))\/l**5*l**(-11)*l**(-1\/6))**(-2\/73) assuming l is positive.\nAnswer: l**(70\/219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 10 + (12 - 29) - (-35 + 10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13, 120, 367, 758, 1323, 2092, 3095?\n\"Answer: 5*l**3 + 27*l**2 + 17*l - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -202 + 488. Does 27 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -30*i - 8. Let q(s) = -10*s - 2 - 4 + 20 - 9 - 8. What is -3*n(g) + 8*q(g)?\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2183 divided by 13\nAnswer: -2183\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8932294 to the power of 1\/3, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 4*c = -2*q - 21, 0 = 3*c + 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -4. Suppose 0*o + o - 4 = d. What is the derivative of 0 - o*n**2 + 2*n**2 + 3 wrt n?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 5*u**2 - 11*u - 7. List the prime factors of j(8).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 + 2*n**2 - 15*n**2 + 1 - 47*n**3.\nAnswer: -47*n**3 - 16*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fr when two letters picked without replacement from {r: 2, x: 3, f: 1, l: 1, b: 9, d: 3}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*s**4*v**2 - 73*s**2*v**2 + 6*s*v + 41*v**2 wrt s?\nAnswer: 36*s**2*v**2 - 146*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 714542 is divided by 2133.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 3*b + 13, b + b + 27 = 5*z. Let p = 22 - 17. Suppose 0 = -p*n + 3*n + 5*i - 19, 5*n = -2*i + 25. Put z, 0, n in increasing order.\nAnswer: 0, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13753303.43 to the nearest 10000.\nAnswer: -13750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -9.7.\nAnswer: 2.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*h = 429 - 8668 + 1627 for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/1182 and -107\/1970.\nAnswer: 5910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -7*j + 0 - 5 + 3*j. Is o(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54.54 + 55.54. What is the nearest to s in 2\/9, 2\/7, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, l: 4, g: 2, f: 1, s: 2}. What is prob of picking 1 g, 1 l, and 1 s?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -g**4\/4 + 2*g**3\/3 - 7*g**2\/2 - 11*g + 15. Is n(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2 = -4*m, 3*m - 4*m - 16 = 5*s. Let h be s\/(-2)*56\/434. Is -1 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-15 - -3) + (8 - 46)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**3 - 15*k**2 + 20*k - 63. Let s(i) = i**2 + 10*i - 8. Let m be s(-12). Is y(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*a + 25*a + 1588*a**2 + 3421*a**2 - 7*a + 974 wrt a.\nAnswer: 10018","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34206*u**2 - 48*u + 7368?\nAnswer: 68412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -11930 - 11780. Suppose -59*d - f = -61*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 4.5. Let f = i + 9. Let u = 0.2 - -0.8. Which is the nearest to -0.1? (a) 4 (b) u (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/2)\/(4\/(-16))*(-3348)\/3906\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/3)\/r)**(-1\/11)*(r**(2\/7))**(-2\/111))**(-3\/52) assuming r is positive.\nAnswer: r**(-215\/148148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**3\/6 - x**2\/2 - 6*x. Let c(f) = f + 5 + 0*f + 0. Let z(y) = -c(y) - 3*o(y). Find the first derivative of z(v) wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**4*d + 144*c**3*d**3 + 4*c**2*d**2 - 178*c*d**3 - 2*c wrt c.\nAnswer: -48*c*d + 864*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 444736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/4 + 1 + 2. Let w = 5 - 5. Suppose 3*i - 2*i - 4 = w. Solve 0 = o*v - 4*z + 5, -i*v + 0*z + 3*z = 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -13. Solve 3*m + j*m = -15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19821 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/((u*u*((u*u\/(((u**(4\/7)\/u)\/u)\/u))\/u)\/u*u*u*u)\/u))**(10\/9))**(-5))**(-2\/27))**(3\/4) assuming u is positive.\nAnswer: u**(-950\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u. Let t be l(2). Which is the nearest to 2\/23? (a) -1 (b) t (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 15*q**2 - 14*q - 11. Suppose -5*h + 58 = -3*z, -3*h - h + 5*z = -49. What is the remainder when u(16) is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 - 3 + 2*i + (2 - 5 + 4)*(-9*i - 9*i - 12*i) - i + 3*i + 2*i)*(1 + 2 - 5).\nAnswer: 48*i + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 61823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u - 806. Let i(m) = -m - 202. Let r = -342 + 351. Let h(b) = r*i(b) - 2*a(b). What is the derivative of h(q) wrt q?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 157541 and 4291.\nAnswer: 1102787","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 128461040 to the nearest ten thousand.\nAnswer: 128460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 2:32 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -32*w**2 + 7*w + 8. Let l be v(-1). Is l less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131.0257nm in kilometers?\nAnswer: 0.0000000001310257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.17 - -2311317673755.\nAnswer: 2311317673755.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9878 - 13*i - 29665 + 13*i + 9893 + 7*i**2 + 9894.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times 0.57618553\nAnswer: -0.0115237106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*d = 33 + 15, -3*d + 4 = 2*o. Suppose v + 4*s = 12, 3*v - 2*s = s + 111. Calculate the lowest common multiple of v and o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 99\/108*20018 - (-2)\/12. Suppose -7*r + 32*r - m = 0. Does 26 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38208 and 50304?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/(-594)*(-77)\/(-14)*6*2\/244.\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2173277495 and 547.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*m**3 - 637*m**2 - 29*m - 7 wrt m?\nAnswer: 18*m - 1274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (54\/20*28\/(-42))\/(11\/286). Let d = 85 - 132. Let n = d - r. Which is smaller: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5446576 nanometers in millimeters?\nAnswer: 0.0000005446576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c3 - 123?\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-27376)\/48*(12 - 45).\nAnswer: 11, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 5:14 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-0.2942.\nAnswer: -1.471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003962532 rounded to 5 decimal places?\nAnswer: -0.00396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**2 - 30*i - 123. What is g(-4)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 462 = 8439*r - 8460*r for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1317*z + 656*z + 661*z - 3*z**2 + 50*z**3 + 19 wrt z?\nAnswer: 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 - 2*u + (-1 + 0 + 2)*(-2*u - 2*u + u) in the form d + h*u and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2931719.\nAnswer: 7, 19, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 2*v**2 + 5*v - 3. Let r be s(3). Let w = -0.1 + 0.4. What is the second smallest value in r, w, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*c**3*u**4 - 5274*c**3*u - 2*c**3 + 3802*c - 3 wrt u?\nAnswer: -16*c**3*u**3 - 5274*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -0.9887252\nAnswer: 0.09887252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9458*b**3*p - b**2*p**3 + 16180*p**3 + 2*p**2 + p wrt b.\nAnswer: 28374*b**2*p - 2*b*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 70015 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -169 - -172. What is the nearest to l in -4, 11\/7, -3\/5, -2?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fnn when three letters picked without replacement from {f: 2, p: 4, n: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) 6\/7 (c) 2\/7 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/21 of a week in minutes?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203794381?\nAnswer: 7, 53, 97, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(21)\/sqrt(7)) + sqrt(153)\/sqrt(9)*-6 + (sqrt(204) + (1*sqrt(204) - sqrt(204))*-2)\/sqrt(12) + 3.\nAnswer: -4*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 51*l**2 + 2*l - 1. Let a be s(1). Let r = -41 + 76. Let d = a - r. List the prime factors of d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-20)*(-10)\/6*12\/2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 222 - 817\/4. Calculate the common denominator of h and 111\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 6)\/(10\/3). Suppose 0 = 2*o - 4*o. Is k <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384 is divided by 91.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 351 and 96354?\nAnswer: 3757806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-206)\/28 + (15 + (-208)\/(-112) - 17).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89014 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -10. Suppose -4*j + 5*j - 78 = 0. Suppose 4*a - 175 = 5*h, -5*h = -p*a + 57 + j. Does 20 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 - 20. Let v(g) = -1 - o*g + 12*g + 1. Let j(f) be the first derivative of -f**2 - 1. Determine v(j(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 1\/2, 0.2, 4\/3, -446630\/11, 1\/3, 0.1, -2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -6*r**3 - 4*r**2 - 12*r + 4. Let a(o) = 7*o**3 + 3*o**2 + 13*o - 4. Let d(s) = 5*a(s) + 6*u(s). Let l be d(-8). Let b(i) = i + 2. Determine b(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*y - 27, v - 22 = -3*y - 10. Let d = 3119 + -3108. Solve 2*s - d = -y for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-6 - (-1 - 0)). Solve 0*o - 20 = -c*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2946*x - 17444. Determine u(-6).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 4)\/(30\/95). Let t = -20\/3 - u. Let k = -37\/2 - -18. Which is the closest to k? (a) 3\/4 (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**3 + 273204*s**2 - 4645082*s - 4918284 = 0.\nAnswer: -136619, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2617*m**3 - 2616*m**3 + 8 - 8.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) -4 (c) -1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-35))\/((728\/(-8036))\/26)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6203 + -6181. Calculate the remainder when 1\/4 - (-143)\/4 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 593673*j**2 + 377 - 377.\nAnswer: 593673*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101121020001 - -1111000?\nAnswer: -101112202001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30)\/(-10) - (-4 - 202 - 5). What is the greatest common factor of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n + 1. Let q(a) = 73*a - 14. Give -4*l(u) - q(u).\nAnswer: -49*u + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27 + 20 + 111*z - 49 + z + z + 4*z + (-z - z + 4*z)*(2 + 3 - 4) + 6*z + 0*z - 4*z + (-z + 0*z - z)*(0 - 1 + 2) - 2*z + 6*z - 3*z.\nAnswer: 120*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4272 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cw when two letters picked without replacement from cwthccw?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 4*x - 2*x**2)*((2*x + 25 - 25)*(0*x - 6*x + 0*x) - x**2 - 4*x**2 + 6*x**2).\nAnswer: 22*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -29. Let n(w) be the third derivative of 1\/315*w**7 + 1\/180*w**6 + 0 + 0*w + 0*w**4 + 0*w**x - 3*w**2 + 0*w**5. Factor n(o).\nAnswer: 2*o**3*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(-39))\/(12\/72) + 760\/126 + -8.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 468722110?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -0.2, -17, 1\/2, 4, 30?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-33)\/(-2)*32\/24. Suppose -3*k - r - l = 4*r, 3*k = -r - 2. Put 3\/7, k, -0.2 in descending order.\nAnswer: k, 3\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -27. Suppose -2*k = -0*k + u - v, 5*u = k - 13. Suppose -g = 3*t - 18, -3*t - 1 = -2*g - 10. Solve g*w = 5*d - 32 - k, -3*w - 4*d + 5 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a - 6. Calculate j(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*v = -6*v + 1457 - 392 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -4\/7635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44740196.\nAnswer: 2, 11185049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -7*y + 50. What is u(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -27. Let d(l) = -l**3 + 5*l**2 - 3*l - 1. Let g be d(z). Suppose 0 = -g*u + 12. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 173725146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 135337678 to the nearest integer?\nAnswer: 11633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -243654 + -52812. Let a = -962586 + 536120. Let r = j - a. Round r to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 414 + -93. What are the prime factors of -3 + m + 7 + -2?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8847*a**4 + a**2 - 2*a - 435 wrt a?\nAnswer: 212328*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7236519 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 6*y - 10. Let a = 22 - 50. Let i = 1 - a. Solve -33 = y*f - 5*j, f = 5*j - 0*j - i for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 + 0.12495236.\nAnswer: 9.12495236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sevvvbvvsvetccvve. What is prob of picking 1 s, 1 t, and 1 e?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2. Let t(y) = y**3 + 3*y**2 - 5*y - 3. Let i be t(-4). Let q(g) = g**3 + 4*g**2 + g + 58. Let r(p) = i*q(p) - 3*s(p). Is 16 a factor of r(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (19 - 9 - 14 - 8).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3 - -5)\/2)\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111010010101010001 (base 2) in base 13?\nAnswer: -849a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-420)\/(-28))\/(-60)*-24?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-2\/3)*z\/(z*(z\/(z\/z**(-5)))\/z))**(2\/3)*((z**1)**(-2))**(-1\/5) assuming z is positive.\nAnswer: z**(248\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 3*g**2 - 1\/6*g**3 + 0 + 9*g - 1\/2*g**4 - 1\/20*g**5. Does 4 divide n(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 11:18 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 59342?\nAnswer: 5\/59342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3)*-207*(-8)\/(-3). Let c = j - 153. What is the remainder when c is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**5\/60 + 11*k**4\/24 + k**3\/3 + 2*k**2. Let b be y(-5). Let w = -20 - b. Solve -2*h + 5*v + 0 + 4 = 0, -v - w = -4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (-33)\/39 - 2. Which is the nearest to 1? (a) -4\/5 (b) 0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/3540 and 113\/28.\nAnswer: 24780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((2*sqrt(432))**2 + -3).\nAnswer: -5175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -27057774.41 rounded to the nearest one hundred thousand?\nAnswer: -27100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1553870?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kz when two letters picked without replacement from {z: 1, c: 2, i: 2, k: 1, m: 1, q: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 2:13 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1244373181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -652, -696, -770, -874, -1008, -1172?\n\"Answer: -15*u**2 + u - 638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -93*q**5\/20 + 7*q**3\/3 - 319*q**2 + 1916*q. What is the first derivative of u(l) wrt l?\nAnswer: -279*l**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 7*h - 176. Let y be u(47). Let r = 173 - y. What is the highest common divisor of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (r - 2*r + 4*r)*(-2 + 4 - 3) in the form x*r + j and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2\/7 + 16*n\/7 + 2 = 0. Calculate n.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 238 = 58. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -828*s**5 + 177*s**2 - 2*s.\nAnswer: -49680*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 1, 0.9, -1.5, -0.5, 154.24?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4660 (base 7) in base 14?\nAnswer: 8a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1548 (base 10) to base 4\nAnswer: -120030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 79896.61\nAnswer: -23968.983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-3))\/(-1)*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -0.4 (c) -4.7 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 222259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 424043 - 0.11?\nAnswer: 424042.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*u = 101*u - 608763 - 823339. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447*d + 1525 - 245 = 191*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 79214.54 meters?\nAnswer: 79214540000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 75772.15 to the nearest 1000.\nAnswer: 76000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 41769\/220 greater than 190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -690500 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**4 - 36*o**4 - 2*o**4 + (4*o + 2*o - 3*o)*(2*o**3 - 2*o**3 - o**3) as m*o**2 + y*o**3 + z*o + w + x*o**4 and give x.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-16)\/10)\/(34\/1275))\/(-2). Let k be (-2 + -1)*(-15)\/1. Calculate the greatest common factor of k and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -149, -294, -439, -584, -729, -874?\nAnswer: -1019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g + 3*j + 4 - 19, -5*g - 3*j - 3 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 7:23 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8689 - 8684. Which is the biggest value? (a) 7 (b) 0.4 (c) m (d) -1\/3 (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65909929?\nAnswer: 89, 740561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**4 - 4*c**3 + 3662*c - 3660*c + 3 + c**4 - 4 + 10*c**2 as f*c + w + r*c**2 + y*c**4 + d*c**3 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.105809 to three dps.\nAnswer: 0.106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -763 (b) 2\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 4 - 19. Let f(l) = l - 1. Let z be f(v). Let r be -1 - ((-2 - 1) + 2). Solve 4 + r = -z*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -29137.\nAnswer: -29140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -893 - 442 = -3*z. Suppose -2*y = -z - 29. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -534\/4351 + 4\/229. Suppose -4*l + o = 1, -3*o = 4*l - 5*o + 2. Which is greater: l or g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14.7 + 15.1. What is the nearest to x in 0.3, 12, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.12 + 0.88. Let v = 0.8 - 4.8. Which is the third biggest value? (a) q (b) 0.2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 10*m - 8. Let h(v) = -v**2 + 6*v - 6. Let r be h(6). Let u be b(r). Is 6 a factor of (u - 2) + 0 + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -351*s + 9. Let h(a) = 176*a - 5. Give -5*h(r) - 3*k(r).\nAnswer: 173*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - o**4 + 9*o - 2*o - 8 - 3*o**3 as j*o**4 + a*o**3 + n*o + s + b*o**2 and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24199871431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 990 and 277970?\nAnswer: 2501730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-3)\/(-1)*5*14\/315.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, f: 1}. Give prob of picking 3 m.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - -13)\/((-5)\/(-10)). Solve 86 = -14*y + o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.773254 grams in milligrams?\nAnswer: 1773.254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 12:03 PM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 497 = 655. Calculate the remainder when n is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 5*w - 2*g, 109*w - 4*g = 105*w - 52 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uk when two letters picked without replacement from skuksusu.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.068 * 104515.89.\nAnswer: -7107.08052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 113223 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 0.12, -2\/155115?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4 - 4)*(1 + 0 + 0)*(-1 + 6 - 3)*(-u + 3*u + 0*u).\nAnswer: 20*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 6*j - 7. Let d be f(-7). Suppose 3*h + d*h = -18. Let l(c) = -c**3 - 5*c**2 + 4*c - 7. Determine l(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 12\/7 of a week?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 29*j**3\/6 - 49*j**2\/2 + 57*j. Does 9 divide c(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y - 1. Let b(s) = -s. Let u(l) = l + 2. Let v(o) = -2*b(o) - u(o). Let k be v(2). Let z(i) = -3*i + 2*i + 1 + k*i + 2*i. Determine 6*p(g) + 7*z(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 101157210 and 4620?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.3449 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1798506 and 3690.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23065, 46140, 69217, 92296, 115377, 138460, 161545?\nAnswer: 184632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**4 + 4*w - 2*w + 1 - 2*w + w**3. Let n(o) = 3*o**4 + 2*o**3 - 2*o**2 + 3. Let j(u) = 2*a(u) - n(u). Let j(c) = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppqp when four letters picked without replacement from {q: 1, p: 17}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*x - 16620 = 0, -2*m + 5*x = 17352 - 732. What is m rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 71850 and 35925?\nAnswer: 71850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -209*o. Let w(a) = -70 - 23 + 3*a + 93. Determine w(x(i)).\nAnswer: -627*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 16. Let h = q + 13. Solve -4*r + 5*g = -h, -5*r + 10 = -5*g + 2*g for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4567*k**3 - 12*k**2 + 28*k**2 - 16*k**2.\nAnswer: 4567*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32410?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 24 - 268 + 41*g + 194 + 27.\nAnswer: 41*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 - -29. Let r be (-51)\/(-9) + p\/(-6). Find the third derivative of -12*k**2 - 2*k - 4*k + r*k + k**3 wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4344442 (base 5) to base 8.\nAnswer: -222365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3078 (base 13) to base 8.\nAnswer: 15042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/10 and 95\/284.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r**2 - 416*r + 14355. Calculate h(39).\nAnswer: 4215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r**3 + r**2 - r. Let b be h(1). Let y = 2 - 1. Let w be (y + 0)\/(1\/24). Calculate the highest common divisor of b and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -25270, -41624, -57980, -74338, -90698?\n\"Answer: -t**2 - 16351*t - 8918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 0) + (3 - (-1 - -1)). Suppose -5*z = b + 9, 4*b + 4*z = r*z - 18. Let c be 4\/(b\/(-7)) + -4. Solve 0 = -4*v + 2*h, 0*h = 4*v + c*h + 10 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*(u*u\/u**(22\/9)*u)\/u*u*u)*u\/(u\/u**(-33))*u*u assuming u is positive.\nAnswer: u**(-293\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q + 13*q - 72 = 144 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -18. Suppose g*q - 18 - 7 = 0. Find the second derivative of -v**2 + 0*v - q*v + 2*v**2 + 2*v wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16235 + 16174. Let j(k) = -k**3 - 59*k**2 + 124*k + 115. Calculate j(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 3:44 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 21308, 21315, 21320, 21323, 21324, 21323?\n\"Answer: -x**2 + 10*x + 21299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 2*l**5\/5 - 58*l**3\/3 - 1. Find the third derivative of r(d) wrt d.\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 w when two letters picked without replacement from {w: 8, o: 1, x: 4}.\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -d**4\/24 + d**3\/6 + 321*d**2. Let b(g) = g - 3. What is -b(a) - 4*o(a)?\nAnswer: 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-62)\/(-28) + (-12 - -1) - 4?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10490 and -31785671?\nAnswer: 31775181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a day in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 1:37 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 144 = -5*c - 47, -5*h - 15 = 0. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 726 divided by 6?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f = 4*v - 12, v - 5*f = 3. Solve t - v*t - 13 = -3*c, 3*t + 4*c = 23 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 4*x**2 - 2*x - 6. Let q be s(6). Suppose 18*b - 21*b = -q. Suppose -p - 5*r = p - b, 0 = -4*p - 5*r + 26. Solve p*w = -3 - 17 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 2254246?\nAnswer: -2254245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (859*k - 1145*k + 1 - 1011*k)*(-4 - 3*k**2 + 4) - 2*k**3 + 2*k**3 - 3*k**3 + (-2*k**2 - 4*k + 4*k)*(-3 - 2*k + 3) + k**3 - 2*k**3 + 0*k**3.\nAnswer: 3891*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 16*i - 4*a = -49490, -5*a + 25 = 0. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-40)\/19 - 0 - -2. Let v = -0.4 - -0.3. Let t be (-2)\/(-6) - 38\/24. What is the third biggest value in k, t, v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 2*z**2 - 2*z**2)*((z - 4*z**3 - z)*(1 + 3 - 2) + 334 - 334 - 35*z**3).\nAnswer: 43*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t**2 + t + 2. Let p be v(-1). Let r be (2\/p)\/(8\/12). Let q be r\/(2\/(-60)*-3). Which is greater: -8 or q?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12440 (base 6) to base 11\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218*n**3 - 4616*n**3 - 3 + 3.\nAnswer: -4834*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(50))\/sqrt(10))**2*-5.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115501 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -7. Suppose 0 = -x + 4, -p*g + 6 = 2*x - 2. Which is the nearest to 0? (a) -2 (b) g (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*c = -11, -6*c = -3*k - c - 4. Suppose 0 = -4*p - 5 - k. Let u(q) = 4*q**2 + 5*q + 2. Let l(m) = m**2 + m. Let b(i) = -5*l(i) + u(i). Give b(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z. Let a be 1\/1 - 2 - -1. Let s(i) = 0*i + a*i - i**2. Determine s(y(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77138 is divided by 133.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18.9 + 6.5. What is l rounded to zero dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13.2 and 2251.\nAnswer: 29713.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328354 is divided by 415.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3476 divided by 365\nAnswer: -3476\/365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.6 - -3. Let s = -108.83 - -120.83. Sort s, 2\/23, -2, i.\nAnswer: -2, 2\/23, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -2\/5, -0.95631.\nAnswer: -0.95631, -2\/5, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1594097145 and 0.4.\nAnswer: -637638858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21133 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.008 in -1\/7, 2\/109, 4?\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + j + 1. Let l(z) = -48*z - 48. Let b(d) = -48*a(d) - l(d). Let h(q) = -q**2. What is h(b(o))?\nAnswer: -2304*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 26*b. Let k be v(3). Suppose 2*p - 4*x + 104 = 0, -3*p - x = 29 + 141. Let z = k + p. Solve -2*t - t = 15, u = -5*t - z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -379 (base 13) to base 6.\nAnswer: -2451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 4*j + 562, -o + 107 = -4*j + 5*j. Let f be (-1 + 0 + -1)*-1. Suppose -5*n = a + o - 290, -10 = -f*a. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 198 + 5?\nAnswer: 1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -199597344 divided by 372.\nAnswer: -536552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**2\/4 - 10583655*a\/4 - 31751073 = 0?\nAnswer: -12, 3527897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 324, 24, -80 in increasing order.\nAnswer: -80, 24, 324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55.8569 - 135.85636. Let q = k - -80. What is q rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 324 and 1148148.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*r**2 - r**3 + 8*r**2 + 13*r**2 - 49*r**2 + 40*r + 11*r**2.\nAnswer: -r*(r - 4)*(r + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 2:41 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37402 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10506 + 19494. Suppose 0 = z, -2*q - 2*z = 3*z + g. Round q to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2\/25, -2\/3, -1\/10, -326\/43, 2?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16902*v**3 - 164109*v**2 + v + 164109*v**2 + (4 + 1 - 4)*(-2*v**3 + 5*v**3 - 4*v**3).\nAnswer: -16903*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-16 + 7 + -20 + 27).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 9*j**2 - j - 6. Let h be i(-9). Suppose -u + 3 = 3*u - l, h*l + 9 = u. Solve u*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 15, 0 = 5*n + 3*a + 40 + 66. Let r(w) = -28*w + 11. List the prime factors of r(n).\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4995302, 9990604, 14985906?\nAnswer: 19981208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12348 divided by 7.\nAnswer: -1764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16.088 + 12.088. Is u bigger than 155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-2 - -4) + 7. Let o = -2 + j. Is 140\/o - 2\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cl when two letters picked without replacement from {l: 4, c: 14}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -1, 2421, 7\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 11:45 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 r, and 1 i when four letters picked without replacement from niiiriirirrn.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3 = -5. Let s(i) = i + 1. Let j(q) = q**2 + 4*q + 4. Calculate b*s(a) - j(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 528, 527, 526, 525?\nAnswer: 524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -15, 6, 1, -34, 0, -757.\nAnswer: -757, -34, -15, 0, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27309327 is divided by 222?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*u**2 + 39*u**2 + 18*u**2 - 200*u**2.\nAnswer: -81*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -72 - -471. Suppose -2*c = -2*r + 180, -4*c + 3*r = -44 + a. Let t = c - -555. What is t rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 - -53. Solve 0 = w*s - 0*s - 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311 + 13*u - 66 - 68 - 177.\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (174\/48 - (0 + 2))*1 and -103\/654.\nAnswer: 2616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39506036 or -39506037?\nAnswer: -39506036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a + 7 = 25 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-30) + (-10)\/(-20))\/(1 - -8)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 + -24. Let g(t) = -2*t + 16*t - y*t + 4 - 7*t. Calculate g(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 2744?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267 + 5*h + 267.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 9*t**4 + 2*t**3 + 4*t + 2. Let m(q) = -19*q**4 - 5*q**3 - 7*q - 5. Let z(l) = 15*b(l) + 6*m(l). Find the second derivative of z(o) wrt o.\nAnswer: 252*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 2*i - 21. Let d be s(11). Suppose -93*v + 91*v + d = 0. Suppose u - v = -0*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**3 + 0*s**3 + 3*s**3)*(-2*s + 0*s + 0*s) - 8*s**4 - 8*s**4 - 78 + 15*s**4.\nAnswer: -7*s**4 - 78","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*n**3 + 79*n**3 - 34*n**3 + 60*n**3.\nAnswer: 119*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 31*i**2 + 30*i + 36. Let o be a(-30). Suppose g = -38*k + o*k + 209, 3*k + 4*g - 311 = 0. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/534882 and 59\/11190?\nAnswer: 2674410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8691 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 1:13 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(272)*-1)**2*-3.\nAnswer: -811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209*g + 62514 + 28401 = 0. Does 145 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x**3 - x**2 - 1. Let t be l(1). Let d(o) = 26*o**t + 18*o - 18*o. Let j(p) = -p**2. What is d(j(u))?\nAnswer: 26*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(-12) - 2*1718\/(-16). Suppose -8*g + s + 130 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a + 3. What is q(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -924, -1217, -880, 87, 1684, 3911, 6768?\nAnswer: 10255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 4*s**2\/3 - 392360*s\/3 + 392356\/3 = 0.\nAnswer: 1, 98089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 + 11*n + 10. Let l(i) = 1. Let m(k) = -2*l(k) + s(k). What is the units digit of m(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 32*j - 17. Determine y(-32).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11252 and 56066?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 - 234304*k**2 - 234292*k + 468600.\nAnswer: -4*(k - 1)*(k + 2)*(k + 58575)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 188, -1, 6, -2, -33, -4.\nAnswer: -33, -4, -3, -2, -1, 6, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 19062?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*h**3 - 17727*h + 447*h**3 + 17727*h - 244*h**3.\nAnswer: -25*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -290?\nAnswer: 1\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3548 - 2080. 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 the greatest common factor of 5973 and 1243651?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -506 = -30060*f + 30132*f - 2666 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1389.15 plus -4.884451459?\nAnswer: -1394.034451459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.2729 + 0.2729. Which is the second biggest value? (a) 4 (b) h (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -53 + -1434074?\nAnswer: -1434147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6332*j**2 - 3134?\nAnswer: -12664*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4376, -40, 5, -5 in increasing order.\nAnswer: -4376, -40, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60 - 241\/4. What is the nearest to 1 in 4\/7, 1\/5, d, -0.4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-238)\/8*(-92)\/(-276) - 10\/(-1)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-118)\/38 + (-2)\/(-19).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/((((t\/(t**2*t)*t)\/t)\/t)\/t))\/t)**(5\/8)\/((((t**(-6)\/t)\/t)\/t)\/t**(5\/6)) assuming t is positive.\nAnswer: t**(311\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 28*k**2 - 71*k - 27. What is the units digit of t(31)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 806.613644 - 806.6. Let h = n - 0.014. What is h rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 2 - 0. Let g(f) = -2*f - 1. Let d(u) = 3*u + 2. Let o(z) = -3*d(z) - 4*g(z). What is o(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31839558901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -29*z + 29*z - 10 + 125*z**3 - 200*z**2 - 61*z - 34*z.\nAnswer: 5*(z - 2)*(5*z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 6\/5 (c) -0.5 (d) 325 (e) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -1512?\nAnswer: 1510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 157\/44 <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1457100 rounded to the nearest 10000?\nAnswer: 1460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1601*t**3 - 1377*t**3 + 2977*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66610 is divided by 66396?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10021105 (base 9) to base 10\nAnswer: 4796906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b + b - 4*b)*(0 - 3 + 2)*(-15 + 1 - 14)*(-2*b - 2*b + 3*b).\nAnswer: -56*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16256350, -32512719, -48769088, -65025457, -81281826, -97538195?\nAnswer: -113794564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1*5\/(-20))\/(17\/(476\/(-35)))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -3*d + 10, -d + 0 - 6 = -5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t. Let o(m) be the first derivative of 5*m**2\/2 + 28. Determine o(u(a)).\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.5082089 kilograms?\nAnswer: 508208900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z - 6. Let w be o(6). Suppose 3*f = -w*f + 27. Suppose f = -4*m - 3. Let i(y) = -y**3 - 5*y**2 - 3*y. Give i(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -l**2\/2 + 5*l + 24. Let w(j) = 2. Let t(p) = -1. Let q(u) = 11*t(u) + 6*w(u). Let k(r) = h(r) - 4*q(r). Determine k(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 23 + 8 = 2*i, -l - i - 3 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 8:37 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244532 is divided by 342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 6*s + 116. Let w be u(-14). Let h(z) be the first derivative of 4 + 0*z + 2*z**2 - 8\/3*z**3 + z**w. Factor h(m).\nAnswer: 4*m*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -300, 1\/4.\nAnswer: -300, -0.2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 q when two letters picked without replacement from {q: 4, v: 1, y: 10, c: 2}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(7488)*-2 + -4 - (sqrt(7488) + (sqrt(7488) + 0)**2 + 3)).\nAnswer: 288*sqrt(13) + 29980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 164 = -5*s + 180, 4*s - 3*y - 269 = 0. Suppose 0*k + 34 = 2*k + 5*f, -5*f + s = 4*k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/1604 and 97\/7218.\nAnswer: 14436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f - 21. Let b be j(-15). Solve -16 = -b*a + a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 - (-8 + (-3 - -2)). Calculate the common denominator of -58\/45 and (-49)\/30 + (-2)\/f.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 3*x + 2. Let p be b(-3). Suppose 3*h + 4*w - 45 = p, -2*w = -2*h + 36. Suppose 5 - h = -3*g. What is the highest common factor of 24 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*o - 4*t - 0*t, -5*o = -5*t. Let w = o + -6. Let k = w - -8. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3118, -12454, -28012, -49792, -77794, -112018, -152464?\nAnswer: -199132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.57 - 0.43. Is -49 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 148*v**2 + 160*v + 1640. Give s(-149).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 7*d**2 - 7*d + 7. Determine j(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1053*f**2*o*q**2 - f**2*o + 7317*f**2*q + 4*f*o*q - 67*f*o - 2*f*q**2 + 17*o - 6*q**2 wrt f.\nAnswer: -2106*o*q**2 - 2*o + 14634*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 685 - 4600 = -5*z, -4*w - 5*z = 21115. What is w rounded to the nearest one hundred?\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 134?\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -1\/18, 1, -1, -0.5, 3\/8.\nAnswer: -11, -1, -0.5, -1\/18, 3\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 195023490 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/18 and 14\/60981.\nAnswer: 365886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -775558 or -775559?\nAnswer: -775559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3917539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 1:47 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 29*p**2 + 26*p - 48. Calculate the remainder when 69 is divided by i(-28).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 7*d**2 - 10*d + 8. Let a be t(8). Let w be (a\/(-14))\/((-16)\/(-56)). Suppose -w*p = -10 - 4. What is the highest common factor of p and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -45*r**3 - 6*r**2 + 5*r + 181. Let f(l) = l**2 - l + 1. Let w(v) = -6*f(v) - n(v). What is the derivative of w(o) wrt o?\nAnswer: 135*o**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-5 - (-1 - 4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38709 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 17*c**2 - 5*c + 2. Let f be l(12). Let k be f\/10 + 2\/(-10). Calculate the greatest common factor of k and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 83713 - 31057. Is a a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 7*z**2 - 463*z - 433. What is k(67)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57\/260 + 2\/65. Let z be ((-1)\/3)\/((-14)\/126). Let o be (14\/4 - 3)*(z - 7). What is the nearest to o in r, 1\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 638435 and 4060.\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wkkwkwkkkwkkkk. What is prob of picking 3 w and 1 k?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*z - z = -87, 3*z = s - 21. Let w = -25 - -29. What is the greatest common factor of s and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -113 + 112.999887. Round k to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -3, 2044417, 2.\nAnswer: -21, -3, 2, 2044417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34\/13*r**2 + 162\/13 + 126\/13*r + 2\/13*r**3 = 0. Calculate r.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence beee when four letters picked without replacement from bbeee?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - t - 23 = 0, 3*t - 19 + 8 = -i. Suppose -i*g - 14 = s, -s = 3*g + g + 11. Which is the closest to -0.1? (a) 2\/13 (b) g (c) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y + 7*y - y + 2*y - 2.\nAnswer: 8*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2))**41\/((x**(-1\/4)*x)\/(x*x**(1\/8)*x)))**(20\/9))**28 assuming x is positive.\nAnswer: x**(-15050\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r. Suppose -2*x - 5 - 5 = 0. Let i be (-2)\/(-2) - (x - -2). Let f(v) = 2*v + 0 - 4 + i. Calculate s(f(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s. Let f(v) = -3*v + 1. Let n(g) = 2*f(g) - 2*y(g). Let u = 2 - -1. Let i(w) = 2*w - 2. Calculate u*i(t) + 4*n(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-6) + (-2)\/6. Let h(l) = l**2 + l - 1. Suppose -5*w - 3 - 12 = 0, -6 = 2*y - 2*w. Let n(i) = 1 + 5*i**2 + 6*i - 5 - 1. Give d*n(u) + y*h(u).\nAnswer: -u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1753922 (base 12) to base 13.\nAnswer: -1005125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 + -45.44. Let t = w + -0.06. Let z = 5 - 0. What is the nearest to -1 in t, -1\/6, z?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 10:57 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -15*z + 13*z - 60327, 9*z - 301540 = -5*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(1\/2)*s))**(-13))**(-9\/2)\/(((s**0\/s)\/s)**(1\/29)*s**(-3)*s*s\/(s\/(s\/(s**4\/s)))) assuming s is positive.\nAnswer: s**(-2921\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + (-11)\/((-22)\/(-8)). Factor 29*z - 61*z - 2*z**3 - z**v - z**4 + 34*z + z**2 + z**5.\nAnswer: z*(z - 2)*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3 + (sqrt(637) + -2)*-3*4 + -4)**2.\nAnswer: -2856*sqrt(13) + 92017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3429 + 8810. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101100101110 - 100?\nAnswer: 100101100101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 8:42 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 - 23*t**3 - 2*t**2.\nAnswer: -23*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.2 + -17.3. Round r to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*z - 348 + 820 = 0 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9203, -18408, -27625, -36860, -46119, -55408?\n\"Answer: -g**3 - 9198*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 55498, 55424, 55290, 55102, 54866, 54588, 54274?\n\"Answer: t**3 - 36*t**2 + 27*t + 55506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/314 and 64\/471.\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 1944.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 863879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-9)*6\/(-9)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2036.6 and 0.\nAnswer: -2036.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - h + 75 = -4*h, 0 = g - 5*h - 6. Calculate the remainder when g is divided by 5\/40 - 47\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 11*k**2 - 23*k - 1. Let h be x(3). Solve 2*p + 3*l - h = 3, 0 = -4*l - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 111194 and -0.07?\nAnswer: -7783.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 10*j - 1. Let w(i) = 776*i**2 + 80*i - 1128. Let h(d) = 8*p(d) - w(d). What is the derivative of h(z) wrt z?\nAnswer: -1536*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 + 2*j**3 - 4*j**3)*(j + 3*j - 2*j) + 1044*j - 131*j**4 - 310*j + 132*j**4 - 2*j**4 - 3*j**3 + 3*j**3.\nAnswer: -3*j**4 + 734*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5*f + 13. Calculate w(-6).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 4*i**2 - i + 8. Suppose -5*c = -4*h + 8*h - 4, 32 = 4*c - 4*h. Let s be f(c). Solve 3*k = 4*k - s for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + (2 - (5 - -17)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-940)\/(-141))\/((-405)\/90*(16\/(-81))\/4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - 2 - (-4 - 4). Let i(d) = -d**3 - 5*d**2 + 3*d + 5. Let a(c) = c**3 + 3*c**2 - 2*c - 3. Determine t*a(n) + 3*i(n).\nAnswer: 2*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 4*m**2 - 7*m + 44. Let n be b(5). Solve 11*i + 1 - n = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**2 - 2888*a + 521284 = 0. What is a?\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36465 and 401115?\nAnswer: 401115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -4 (b) 2 (c) 0.4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 466020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -849 + 11042\/13. Which is smaller: a or 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -155a67 + -221?\nAnswer: -156188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 24102750?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + k - 12 = 0, -6*w - 5*k + 24 = -4*w. Suppose -w*h = -131 - 337. Let u = h + 16. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 4*o - 3*i = 13, -4*o = 4*i + 24. Let d be (-26)\/(-65) + 354\/15 + o. Let b(t) = t**3 - 13*t**2 - 2*t - 21. Is b(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**6\/720 + a**4\/8 + a**2. Let h(v) be the second derivative of r(v). Let n(f) = 2*f**2. Determine h(n(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**6\/40 - 3*k**4\/8 - 3*k**2. Find the second derivative of t(i) wrt i.\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 6 = -11*l. Let a(y) = -2*y**l - 7 + 7. Let w(s) = -s**2 - 2. Let q(p) = -4*p**2 - 7. Let f(d) = -6*q(d) + 21*w(d). What is f(a(m))?\nAnswer: 12*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from ixnixexiix?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61414*x**3 - 50756*x**3 - 135573*x**3.\nAnswer: -124915*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -27945434?\nAnswer: -5589086.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, p: 5, a: 1, w: 3, u: 3}. Give prob of picking 2 c and 1 w.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 218271 a multiple of 267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 13 = -f + 3, 10 = -5*f. Solve -2*v + 9 = 5*d, 3*v - 2 = -0*v + n*d for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 5:17 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/42)\/((-3)\/(-42))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1892c (base 14) in base 10?\nAnswer: 62172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(10)\/(sqrt(5)*-1) + sqrt(18)\/(-6*sqrt(9) + sqrt(9)) + -5*((sqrt(200)*3 + 3 - sqrt(200))**2 + sqrt(200))).\nAnswer: 9768*sqrt(2)\/5 + 12135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/8709092 and 11\/6.\nAnswer: 26127276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 25*w - 66. Let d be a(14). Suppose -d*b - 378 = -486*b. Sort b, 4, -2, 0 in descending order.\nAnswer: b, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 60*b - 41. What is q(4)?\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -106530*p**6 - 2*p**2 + 33246*p wrt p.\nAnswer: -12783600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(1872) + 3 - sqrt(1872)) + sqrt(1872) + sqrt(1872)*3 + -4 + 0)**2.\nAnswer: -144*sqrt(13) + 67393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 13 + 585\/(-21)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.48292 millennia in months?\nAnswer: 809795.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c9 (base 16) in base 11?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 1:19 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 7:22 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 5*r**2 - 30*r + 2. Let b(z) = -9*z**2 + 55*z - 5. Let q(l) = -6*b(l) - 11*h(l). Let x(t) = -2*t**2 + 9. What is 2*q(g) - 3*x(g)?\nAnswer: 4*g**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 1934 = -3*r, -284 = 5*r + 5*g - 3474. Let b = r - 639. Calculate the smallest common multiple of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 - 30. What is the biggest value in c, -1\/6, -1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 - 9*y + 11. Let d be k(-5). Let x = d - 26. What are the prime factors of (747\/12 - -1) + 5\/x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -4 - 13 - (110 + -85)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5116.813 decades to months.\nAnswer: 614017.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 2*p**3 - 6 - 10 + (p + 0*p + 0*p)*(-4*p**2 + 2 - 2) + p**3 - p**3 + p**3 in the form v*p**2 + x + m*p + f*p**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -1202?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 407016?\nAnswer: -407012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 402374, -5 in decreasing order.\nAnswer: 402374, -5, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 5:33 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1397 - -1984. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2466648 is divided by 178.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7593891 + 7593891 - 2*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 253 * -68\nAnswer: -17204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62522 (base 11) to base 8.\nAnswer: 262001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 778145790 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 456490603?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -7\/2 (b) 4\/3 (c) -1 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2440950 divided by 488190\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**3 - s**2 - 31*s + 12. Give a(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1657 - -0.8343. Put 119, 1\/3, -2, j in increasing order.\nAnswer: -2, 1\/3, j, 119","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*b - 4*v - v, -5*v - 15 = -5*b. Suppose 3*x = -b*z + 2, 4 = x + 2*z - 4*z. Find the first derivative of -3*y + x*y + 0 + 2 wrt y.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15729 + 18218. What is the lowest common multiple of d and 1048?\nAnswer: 19912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 14*o + 33 = 0. Let g(j) = j**3 + 10*j**2 - 12*j - 16. Determine g(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqly when four letters picked without replacement from iiyiolyqyiqofyq?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-6))\/(6\/(-9)). Let k = 13\/66 - -3\/22. Let n = 0.1 + -0.1. What is the closest to 0 in k, n, r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11366\/3 + -3739. Let g = f + -51. Is g < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1330309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 4)*(2 - 197*g**4 - 10*g + 2*g + 189*g**4) to the form v*g**4 + p*g**3 + l*g + i*g**2 + o and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/5 >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.1 + 11. Let d = k - -0.2. Is -5 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -70 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 (base 10) in base 13?\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 s when two letters picked without replacement from {s: 2, p: 4, r: 1, j: 1, u: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 30*v**2 - 13*v**2 - 20*v**2. Let s(z) = -10*z**2 + 2*z. Determine t(s(l)).\nAnswer: -300*l**4 + 120*l**3 - 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqqqfvfqqldq. Give prob of picking 1 d and 1 l.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-1 - -2) - (-51 - -42) - -9.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1101110 (base 2) to base 12\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -557.121502 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 4)*33\/(-9). Suppose 2*y + 4*k + d = 3*y, -5*k = -20. Factor -11 + 3*o**2 + y - o**2 + o**2 + 18*o.\nAnswer: 3*(o + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -22.3, -2, -0.1, -1\/5, -418?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/5, -2\/39, -5\/6, 0.0412, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -58? (a) 7 (b) -2 (c) 1 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -61, -4, -200, -1\/4, -39?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbobdhdrddbdbldbddl. What is prob of picking 2 b and 1 l?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**4 - 5*o - 128 + o**3 - 99 + 279 in the form m*o + b*o**2 + h + k*o**4 + j*o**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: a4a (base 11) to base 6\nAnswer: 5504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 10*g**2 + 5*g - 70. Let m be r(10). What is the second smallest value in 50\/3, m, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-15.9\nAnswer: -1.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9, v: 9}. Give prob of picking 3 v.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 37.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m - 2. Let w(b) = b**3 - 2*b**2 + 2*b - 2. Let d be w(2). Let q be k(d). Suppose 27 = q*x + x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 9*u**2 + 17*u - 9. Let w be z(7). Solve 7*a + w = 19 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 181 = 5*a, z + a - 23 - 48 = 0. Let w(i) = i**3 - 8*i**2 + 8*i - 5. Let u be w(7). Is (z\/(-3))\/(u\/(-42)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 21*x**2 + 24*x - 41. Let v be g(22). List the prime factors of -12*10\/90 + 1621\/v.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58173823 or -58173828?\nAnswer: -58173828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/21*392\/(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*u - 157*u + 7 - 490*u.\nAnswer: -702*u + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 24501?\nAnswer: -1\/8167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2110*u**2 - 1396*u**2 - 1399*u**2 + (-2 + 2 + u)*(-1 + 1 + u).\nAnswer: -684*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -640568 - 4?\nAnswer: -640572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1543 divide 260321073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 11 + 378\/(-63). Solve 0 = 5*b - l*m, -5*b - 53 = 5*m - 13 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w**2 + 24366*w + 1846521. Determine o(-77).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j**2 + 1. Let i be c(1). Suppose 3*s + 27 = 3*t + 6*s, -3*t + i*s + 51 = 0. Suppose -a + t = a. Let z(d) = -d + 5. What is z(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g + 1. Suppose 0 = -0*b + 4*b + 32. Calculate the remainder when 97 is divided by t(b).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011001001001011 (base 2) to base 3.\nAnswer: -2022121111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -5*o + t - 0*t, 24 = -3*o - 3*t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -302, -3249, -11238, -26789, -52422?\n\"Answer: -420*h**3 - h**2 - 4*h + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**4\/6 - 6*a. Let l(h) = 34*h**2. What is l(i(s))?\nAnswer: 136*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 4, 13, 2 in ascending order.\nAnswer: 2, 4, 13, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.32*-76\nAnswer: -24.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.63934934 minus 3338?\nAnswer: -3339.63934934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.4761 - 0.0439. Let d = 91.35 - 78.117. Let p = o + d. Round p to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y - 2. Let n be v(-2). Suppose -n*a - a = 0. Differentiate -5 + j**3 + 5 - 2 + a wrt j.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-25))\/(18\/(-1020)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -956*(-9)\/60 - 4\/10?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/1465935 and -25\/9675171.\nAnswer: 48375855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 146\/(-3)*9\/(-6). What is r rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3225404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/4, 652, 4, -0.2, -7\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.28435 centuries to millennia.\nAnswer: 3.428435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3\/5 - 14688*u**2\/5 - 13512912*u\/5 - 53816896\/5.\nAnswer: -4*(u + 4)*(u + 1834)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus -20521324591?\nAnswer: 20521324591.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -11 (c) -0.1 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -690918860 to the nearest ten thousand.\nAnswer: -690920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.7 - 6. Let z = 0.1 - k. Let x = z + -1.4. Which is the closest to x? (a) -2\/9 (b) 4\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/45 - (20\/45)\/(-2).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/72)\/((-3)\/(-24)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v, 5*v + 60 = 2*m + m. Find i, given that -28*i - 8 - 10*i**2 + 12*i - m*i**3 + 18*i**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**7\/168 + v**6\/120 + v**5\/40 + 14*v. Factor s(j).\nAnswer: -j**3*(j - 2)*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 112, 4, -674, -4, 5, 10 in ascending order.\nAnswer: -674, -4, 4, 5, 10, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -52, -6, 162, 518, 1128, 2058, 3374, 5142?\n\"Answer: 11*f**3 - 5*f**2 - 16*f - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppprrprprpprpp. Give prob of picking 3 r.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 18*m**2 + 12 + 17*m**2 - 24*m + 2*m**2.\nAnswer: m**2 - 24*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156576 is divided by 201?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (199\/((-106465)\/(-642)))\/(6\/(-100))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -4*d + 4, 8*d + 3*x = 3*d + 7. Suppose -5*b + d*b + 75 = 0. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103779139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -172, -112, -12, 128?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**3 + 1 + 11*a**3 - 76412*a**2 - 1 + 76412*a**2.\nAnswer: 17*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1206261 divided by -467.\nAnswer: 2583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -166405937410 take away 0.4?\nAnswer: -166405937410.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5917 to two decimal places.\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -37536*f**2 + 1839266*f - 96. Determine m(49).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-54)\/(-15) + -4)\/((-1)\/8430). Suppose -q = 5*q - h. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, 88, 89, 90?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {p: 2, a: 1, b: 1, c: 4, q: 7, f: 5}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + (-44)\/(-20))\/((-5)\/(-200)*-4). Let b(j) = j**3 + 14*j**2 + 26*j + 8. What is b(q)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a hour in seconds?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5031 (base 6) in base 13?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a**2. Suppose -8*u + 5*t = 25, 0 = -2*u + 2*t + 4 - 14. Let v(k) be the first derivative of -5 + 1\/2*k**2 + u*k. Give p(v(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 312053.0087 - 311962. Let d = -91 + p. Round d to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 5:53 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72422 and 440444.\nAnswer: 1478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, o: 2, x: 3, a: 1}. What is prob of sequence xk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*k**3 + 6*k**3 - 31 + 42*k**3 - k wrt k.\nAnswer: 138*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u = 3*t + 63, -3*u - 317*t + 312*t - 131 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 646 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**2 - 2228*t - 3048919. What is i(-703)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -4. Suppose -7*y = -30 + 2. Sort y, i, 5 in decreasing order.\nAnswer: 5, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(2448) - (sqrt(2448) + (sqrt(2448)*-1)**2)) + -4).\nAnswer: 4904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 202 by -117274.\nAnswer: -101\/58637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -1 (b) 4 (c) 971 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/10424 and 76\/11727.\nAnswer: 93816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + -28. Let t = 88 - j. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/sqrt(4))\/sqrt(3) - (3 + 1 + sqrt(19) - sqrt(19)) - (1 + (sqrt(1539) - (sqrt(1539) + -1)*5)**2).\nAnswer: -24654 + 361*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23865 is divided by 104.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 15*w + 16. Let o be n(-16). Suppose o = -7*p - 0*p + 595. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -4*b - 4. Suppose b*k - y = 246, 2*y = 7*y. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b + 5bc6819?\nAnswer: 5bc6827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 4\/7 (b) 2 (c) 13 (d) -0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + -3*(sqrt(637) - (sqrt(637) + 0)) + -5)**2 - (-3 + (sqrt(637) - (-1 + sqrt(637))*4))**2)*6.\nAnswer: -30432 - 168*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {c: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -11*n**2 + 14*n - 11. Let g(q) be the first derivative of 7*q**3\/3 - 9*q**2\/2 + 7*q + 12. Give -5*b(l) - 8*g(l).\nAnswer: -l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 26\/143 + (-36629998)\/(-11). Round y to the nearest one hundred thousand.\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 2*o = 0, 44*o - 5 = -2*k + 47*o for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 11*n - 13. Let q be f(10). Let u be q*(-8)\/60 - 4\/10. What is the nearest to u in -1\/5, 0.03, -4\/3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1952283 and 4?\nAnswer: 7809132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 78. Let r = x - -72.000032. Round r to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -4*o + 632, -3*l + 7*l = o - 143. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 4 = -f + n, -20 = 5*n. Let y = 2\/5 + f. What is the third biggest value in 0, 5, -4\/3, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -18 - (-5 - 8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 3. Let o = -5 + 32. Calculate the remainder when o is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19775*q**5 - 6745*q**4 - 101534291*q**2.\nAnswer: -1186500*q**2 - 161880*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3484 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: In base 6, what is -25442124 + -1?\nAnswer: -25442125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 12*d + 30060000. What is d rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 897.\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 23. Suppose 4*o = 2*i - h*i - 4, -o = 3*i - 6. Suppose 2*y + 6 = 0, o*j + 2*j - 35 = 3*y. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -214? (a) 0 (b) 2\/3 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -193796080 divided by 16?\nAnswer: -12112255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5627 by -4.\nAnswer: 5627\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 59*(4 + (-10)\/5). Differentiate -k*p**3 + 923 - 905 + 38*p**3 with respect to p.\nAnswer: -240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pfppppfpfplplfpp. Give prob of sequence pf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10820 + -10818. Sort -5, c, 28, 9, -7 in descending order.\nAnswer: 28, 9, c, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 90*i**3 - 28*i**3 - 11 - 29*i**3 + 2*i**4 - 32*i**3 + 2*i**2 to g*i**2 + u*i + b*i**3 + j*i**4 + s and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 11:58 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 13*q**2 - 13*q + 16. What is the remainder when 7 is divided by m(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + 210221332230?\nAnswer: 210221332211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5 - 7*y + 3 + 6*y - 12*y. Calculate j(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 - -71. Let h = 39.2 - j. Sort -25, h, -2\/13.\nAnswer: -25, -2\/13, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63318768 and 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 89222433935\/2674 + -33366653. Let x = u - -1\/382. Factor -22\/7*v**2 + 8\/7*v**3 + 4\/7 + x*v.\nAnswer: 2*(v - 2)*(v - 1)*(4*v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -3*n - 14, 5*z - 13 + 41 = 4*n. Suppose -2*h + 29 = 3*b, -h - h - n*b + 32 = 0. Solve 3*u + 4 - h = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/14 and 65\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-5\/6)\/j)\/j**(11\/3))**(4\/19)*((j\/(j**(-3)*j))\/j**1)\/(j*j*((j*j\/j**5)\/j)\/j*j*j*j*j**5) assuming j is positive.\nAnswer: j**(-79\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 + -35. Let d(h) = -h**2 - 8*h - 2. Calculate the lowest common multiple of q and d(-7).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5576 + -1146. List the prime factors of s.\nAnswer: 2, 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -333, 5, -15, 6, -2 in decreasing order.\nAnswer: 6, 5, -2, -15, -333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 956\/5 + 13\/(-65) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -8 + (2 - 17).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-1 - 0\/(-2)). Solve -3*p - v*k = k + 16, -k - 4 = -5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -3 + -7 + -16.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4 = -5*l, -3*l = -3*c + 2*l + 14. Let h = 21238 + -21241. Suppose 0*b + 4*b = -4. Put c, 2, b, h in ascending order.\nAnswer: h, b, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 4*q + 9 - 25, -2*m - q = 4. Let g(b) = 201 + b**2 - 201 + m*b**2. Let c(k) = 8*k**2. Give c(g(o)).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 300*c**3 + 12*c**2 + 60. Let v(n) = -n**3 - 2*n**2 - 2. Let z(a) = -o(a) - 6*v(a). Find the first derivative of z(r) wrt r.\nAnswer: -882*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 36*z + 47. Let w(b) = -33*b - 53. Give 10*o(k) + 11*w(k).\nAnswer: -3*k - 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jczcacxjxcxjzjjxzr. What is prob of sequence xzrj?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -20002 (base 3) to base 10\nAnswer: -164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 217*h**2 - 12586*h - 11. Determine t(58).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 566761948 a multiple of 612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - 287*t + 28 + 144*t + 145*t)*(-2 + 2 + t).\nAnswer: t**3 + 2*t**2 + 28*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - a + 4. Let r be o(0). Let j be 120\/55 - r\/22. Suppose j*k - 59 = -23. Calculate the lowest common multiple of 14 and k.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.06, 0, -5, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.532429 millilitres to litres.\nAnswer: 0.007532429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.98 - 0.02. Suppose 0 = 2*p + 3 - 5. Suppose x + p = -0. Which is the closest to -1? (a) x (b) 1\/2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 2.1. Let b = -1 + -1. Let g be (-1 - 13) + 11 - 1. What is the closest to -2 in g, o, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -3\/4, -1\/3, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**4 - 125*w**3 + 4*w**4 + 123*w**3 + 6 - 2*w**4 + 4*w in the form z*w**4 + x + f*w + n*w**2 + m*w**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -29, -23, -13, 1?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-6) + (-2)\/(-4). Let u(b) = -b**2 + b + 2. Let j(p) = -5*p**2 + 5*p + 7. Let i(m) = o*j(m) - 9*u(m). Suppose 0 = -24*r + 21*r. What is i(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -13 - (-4 - -34)\/6. Let b(l) = -5*l - 29. Let m be b(o). Suppose -82 = -p - 5*v - 0, -4*p + 228 = -5*v. Which is greater: m or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15095?\nAnswer: 5, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75 - 67*r + 1424*r**3 + 75 + 105*r - 38*r.\nAnswer: 1424*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/(107\/642)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13316 (base 9) to base 15.\nAnswer: 2a06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -48157 (base 12) to base 16\nAnswer: -17ad3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.37, -4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((28\/49)\/(6\/7))\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183 + 177 = 6*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000693047 to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39161 and 32?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3766732 by -4.\nAnswer: -941683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 10, p: 10}. What is prob of picking 1 p and 2 g?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 8:35 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000443116811 to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 167110, 666903, 1499898, 2666101, 4165518, 5998155?\n\"Answer: s**3 + 166595*s**2 + s + 513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14126182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2))\/(3495\/(-1864))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*((y*y*y**(3\/2))\/y)\/y*y)\/y)\/y)**3\/(y\/y**(-7\/5)*y)**(-1\/3) assuming y is positive.\nAnswer: y**(259\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*o - 155 = 106*o - 33*h, -o + h + 0 - 7 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*k - 4 = 0, l - 3*l + 5*k = -20. Let m be 2\/(-3)*(l + -8). Does 14 divide (17*m)\/(2 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1376\/8775 - 2\/675. Which is the third biggest value? (a) x (b) -0.4 (c) -0.3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 9*m - 1. Let w be f(-7). Let q = -8 - -21. Calculate the highest common divisor of q and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44.2 + -41. Let q = 2.947 - b. What is q rounded to two decimal places?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*v**5 - 2*v**5 - 3*v**4 + 3*v + 3*v**4 wrt v?\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 13*s**2 - 34*s - 13. Let k be a(9). Solve 23 = -t + k*g, 3*g - 15 = 5*t - 4*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxweexxxmzxxxemxbxz. What is prob of sequence ez?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90, -349, -780, -1383, -2158, -3105?\nAnswer: -4224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6056\/3 + 2021. Let n be (-9)\/(-15)*10\/(-14). Which is the smallest value? (a) n (b) 1 (c) 2\/5 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279536*n - 559088*n + 279535*n.\nAnswer: -17*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25 and 23.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 545363, 1090689, 1635983, 2181251, 2726499, 3271733, 3816959?\n\"Answer: n**3 - 22*n**2 + 545385*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 2)*(63*t + 4 + 2 - 4) - 4*t + t + 6*t in the form l + z*t and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*m + 56. Let b(s) = -s**2 - 187*s - 854. What is the remainder when b(-5) is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, o: 1, e: 1, f: 5, b: 3, m: 1}. What is prob of sequence fbaa?\nAnswer: 15\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 604305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 10*v**2 + 9*v - 17. Let q be n(-11). Let k be (2 - 1)*1*-1. Let a = k + q. Solve -a*w - 14 = 6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a millimeter in micrometers?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 624320 and 312160?\nAnswer: 624320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -5*m + 4. Let v be s(0). Suppose -4 = d - v. Is 10 a factor of 1 + 78 - (0 - d\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**3 - 4*k**2 + 28*k - 16 = 0.\nAnswer: -4, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -450 - -975. Which is bigger: f or -2\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 12, 0.5, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*t - 2*l + 40, 12 = -4*t - 5*l. Let o(u) = -14*u**3 - 6*u**2 + 12*u - 8. Let x(p) = -9*p**3 - 4*p**2 + 8*p - 5. What is t*x(i) + 5*o(i)?\nAnswer: 2*i**3 + 2*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 340\/13*k**2 + 2\/13*k**4 + 0*k + 342\/13*k**3.\nAnswer: 2*k**2*(k + 1)*(k + 170)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1509\/13 + -37711\/312. Find the common denominator of y and (41735\/2652 - 7) + (-19 - -10).\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*q - 6, -3*q + 9 = -10*g + 5*g. Suppose -5*v - 178 = -0*n + n, v - n + 32 = 0. Let h be 2\/5 + 14\/v. Solve g = -h*x + 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244 = -3*c + 13. Let x = c - -78. Let h be 3 + -6 + 27\/12. Sort 0.1, h, x.\nAnswer: h, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12659 is divided by 12655?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 99\/(-84) + (-6)\/(-8). What is the nearest to -2 in -1\/2, 1, h?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1+0.10047781072\nAnswer: 1.10047781072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/66972780 and -47\/44648520.\nAnswer: 133945560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (14448\/(-4214))\/((6\/(-14))\/3)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0149 - 209.0149. Let i = y - -207. Let d = -5.86 - 0.14. What is the fourth biggest value in i, 2, 0, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (21\/54)\/(39900\/27360). Let o be (-11)\/14 - (-4)\/14. Sort -2\/3, o, 3, s in decreasing order.\nAnswer: 3, s, o, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 4*k**3 - 448272*k**2 + 12559236624*k = 0.\nAnswer: 0, 56034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 206 divided by 6\nAnswer: 103\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-4) - (-228)\/16. Let g be ((-13)\/((-312)\/(-30)))\/(1\/(-12)) + -1. What is the highest common divisor of g and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -6*q + 5. Let a(r) = 1 - q - 4*r**2. Let g(f) = -9*f**2 + 192*f + 6. Let d(h) = 10*h**2 - 224*h - 7. Let i(l) = -6*d(l) - 7*g(l). What is a(i(s))?\nAnswer: -36*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 59454 (base 10) to base 8\nAnswer: 164076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37317839 to the power of 1\/3, to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1959513 to the nearest integer?\nAnswer: 1400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 1. Let q(k) = -9*k**2 + 5. Let n(m) = q(m) + 5*y(m). Let p(h) = h**2. Calculate p(n(d)).\nAnswer: 16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7*13\/273)\/1)\/((-2)\/(-114))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 266*g. Let c(m) = -20*m. What is y(c(s))?\nAnswer: -5320*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -113.9008 rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 5*i + 3*b + 417, i + 54 = -3*b. What are the prime factors of (69\/2)\/((-11)\/i)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184185157 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1449.156 and 1.\nAnswer: 1450.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 831165?\nAnswer: 3, 5, 55411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*c**3 + 7*c**3 + 3*c**4 - c**4 - 18*c**3 - 10 as x*c + j*c**2 + t*c**3 + h + f*c**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 53396?\nAnswer: 213584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5 = 5*y, 28 = -3*f - 3*y + 4. Sort 3, -8\/3, f.\nAnswer: f, -8\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 283335 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/(-63) - 33\/(-7). Suppose 3*z - 2*z = 3*n - 9942067, n = -v*z + 3314017. Let j = -6014022 + n. Round j to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (3 - 6 - (-4 - -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7.3304? (a) -4 (b) -0.1 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34415, -68975, -103675, -138515, -173495, -208615, -243875?\nAnswer: -279275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1253 (base 6) in base 9?\nAnswer: -386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + z**2 + z + 1. Let x(r) = 52*r**3 + 2*r**2 + 2*r + 2. What is -6*d(b) + 3*x(b)?\nAnswer: 150*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.3 - 13.3. Which is the third smallest value? (a) 7\/2 (b) m (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 11:07 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert a9 (base 13) to base 7.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**5\/60 + 5*d**4\/12 - 17*d**2. Does 24 divide f(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**3\/6 + 9*c**2\/2 - 63*c\/2 + 1376. Factor t(i).\nAnswer: (i - 3)*(i + 21)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.016 (b) 8.7 (c) -2\/5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 429*u**2 - 812*u + 180.\nAnswer: (11*u - 18)*(39*u - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19585957 divided by 3?\nAnswer: 19585957\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -114*b + 222 + 3\/2*b**2.\nAnswer: 3*(b - 74)*(b - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8517786283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1501 rounded to one decimal place?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 150*k**2 + k + 10. Let h(q) = -751*q**2 - 5*q - 53. Calculate -2*h(y) - 11*p(y).\nAnswer: -148*y**2 - y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -11*k**3 + 12*k**2 - 2*k. Let f(l) = -11*l**3 + 13*l**2 - 3*l. Let p(t) = -2*f(t) + 3*w(t). Find the third derivative of p(y) wrt y.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48414 (base 14) to base 13\nAnswer: 623b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ojjltjojijjtololit. What is prob of picking 2 t and 2 l?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2507*w**4 + 208*w**3 - 627730*w**2 - 12*w?\nAnswer: -60168*w + 1248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2 + 10. Let m(b) = -5*b**2. Let a(w) = -9*w**2. Let o(y) = 6*a(y) - 10*m(y). Give j(o(v)).\nAnswer: -32*v**4 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5, 0, 5, 10, 15, 20?\n\"Answer: 5*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11543.13515 rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in -1\/5, 1\/3, 188\/33, 2\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3425 = -65*x - 378*x - 8093 for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c + 22. Let b be z(10). Calculate the highest common factor of b and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/4 (b) -3\/8 (c) 1\/8 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 630311\/981 - 3157\/109. Let f = 617 - z. Find the common denominator of f and 93\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 325 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(567)*2 + (sqrt(567) + 1)*1 + sqrt(567) + sqrt(567) + (sqrt(567) - (0 + sqrt(567)))*-5 + 5 + (sqrt(567) - (sqrt(567) + 0)) + sqrt(567))**2.\nAnswer: 864*sqrt(7) + 36324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 18*j + 12. Let o be q(18). Calculate the greatest common divisor of o and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -40*a**2 - 72*a - 8. Calculate y(4).\nAnswer: -936","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 349712071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -109*r - 145*r + 425*r + 2 + 0*r - 2*r + r + (2 - 6 + 3)*(3 + 2*r - 3).\nAnswer: 168*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 23*b**2 + 9 - 74*b**2.\nAnswer: -51*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(0 - (-4)\/20). What is the nearest to d in -3\/7, 6\/11, 2\/9?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -406 + 418 + (1 - 26)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 5*d - d + (4 - 2 + 0)*(0 + 0 - 2*d) - 3*d + 6*d + 6*d)*(-2*d**3 + 3*d**3 - 3*d**3).\nAnswer: -6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 8 + 4. Suppose -k*f + 108 = -0*f. What is the greatest common divisor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16ab82 - -1?\nAnswer: 16ab83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378 is divided by 124.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.4884984 and 0.4.\nAnswer: -0.59539936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 4:31 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 789, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -7*t**3 - 26*t**2 + 3*t - 43. Let c(a) = -10*a**3 - 39*a**2 + 5*a - 64. Let w(n) = -5*c(n) + 7*u(n). Let g = 8 - 21. What is the units digit of w(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -4, -65, 0.3, -0.03, 56 in increasing order.\nAnswer: -65, -25, -4, -0.03, 0.3, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.165589837 to 4 dps.\nAnswer: 0.1656","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 755200 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2316456 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**4 + 2*h**3 - 2*h**3)*(-8 + 26 - 5 - 4104*h - 13).\nAnswer: -16416*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20\/3, 22, -0.5.\nAnswer: -0.5, 20\/3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*d**2 + 9*d**5 + 13*d**2 + 16*d**5 wrt d?\nAnswer: 1500*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*w - 41, -a - 3*a = 12. What is the greatest common divisor of 133 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**3\/9 + 13*o**2\/9 - 35*o\/9 - 49\/9 = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -33520.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 528?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -4515*s**5 + 1588302*s**4 - 134622654*s**3 - 897220764*s**2 - 188464983*s - 2883690 = 0.\nAnswer: -6, -1\/5, -5\/301, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -62, -2, -0.5, 8\/53, -0.1, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 7*d**2 - 6*d + 7. Let q be b(6). Suppose 2*w - q*w + 15 = 0. Solve -4*f + w = -9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 2*u = -8, 12 = 1528*o - 1530*o + 2*u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and 12\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -3, 0.025, -1\/5, -4, 17\/3, -1?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/90 and -133\/198.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -y + 54. Is (-2)\/(-3) + (-186)\/y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15514 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -19. Suppose -a = -0*a - r. Suppose 3 = -0*q + q, s - 19 = -5*q. Solve -7 = -5*j - s*t, 6*j - 20 = a*j + 4*t for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q + 168 = 38*q. What is the highest common factor of q and 192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2308016 is divided by 326.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 79435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*p + 24 = 0. Suppose -j - 20 = -p*j. Suppose -9*n + 75 + 24 = 0. Calculate the remainder when n is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/421092 and -17\/1764.\nAnswer: 2947644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from idhdhlhibd. What is prob of sequence dl?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7ca8 + 11a?\nAnswer: -7b8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 669 - (39\/(-117))\/(1\/12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*q - 8, -4*n - q - 6 = q. Suppose -2*a - 2 = -14. Let c be 2\/(-1) + (a - -1). Sort 0.2, c, n.\nAnswer: n, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 9*c + 1. Let x be p(9). Suppose 2*m + 4 = 0, 3*m + x + 5 = 5*o. Suppose 0 = -o*u - 3*u + 609. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2908 + -2913. Sort t, 2, -24\/5 in descending order.\nAnswer: 2, -24\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(-2 - (-21)\/9). Let z be 3 + (2 - 1)*v. Suppose z*i = 17 + 5. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**3 - 34*l**2 + 218*l - 1432. Determine c(9).\nAnswer: -766","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11\/(33\/(-6)) - (-2 + 0). Factor 1\/5*r**3 + b*r**2 + 0 - 1\/5*r.\nAnswer: r*(r - 1)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 5*t = -t - 12, 0 = -4*k + 2*t - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 w when four letters picked without replacement from wwkwswksl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1829.2221us to minutes.\nAnswer: 0.000030487035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0)**(-3\/14)*(d\/d**(-1\/15))\/(d**(-5)*d) assuming d is positive.\nAnswer: d**(76\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 225071507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 3*g**2\/4 - 4611*g\/4 - 80121\/2 = 0.\nAnswer: -34, 1571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}